qa_list
listlengths 6
58
| category
stringclasses 10
values | edit_instruction
stringlengths 28
335
| source_image
imagewidth (px) 265
1.26k
| GT_image
imagewidth (px) 190
1.43k
| output_image_gemini
imagewidth (px) 613
1.94k
|
|---|---|---|---|---|---|
[
{
"ground_truth_answer": "Geometric shapes: a circle inside a square.",
"label": "maintain",
"question": "Across both panels ('Plot 1' and 'Plot 2'), what type of diagram is depicted—geometric shapes (a single circle centered inside a square) or a Venn diagram?"
},
{
"ground_truth_answer": "Centered above",
"label": "maintain",
"question": "Where are the titles placed relative to each panel?"
},
{
"ground_truth_answer": "Plot 1",
"label": "maintain",
"question": "What title is printed above the left-hand plot: 'Plot 1' or 'Plot 2'?"
},
{
"ground_truth_answer": "Plot 2",
"label": "maintain",
"question": "What is the title printed at the top of the right-hand panel?"
},
{
"ground_truth_answer": "Square",
"label": "maintain",
"question": "What shape is the frame in each panel?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the frame in each panel?"
},
{
"ground_truth_answer": "Light-gray",
"label": "maintain",
"question": "What color fill does the square inside each panel have?"
},
{
"ground_truth_answer": "Centered",
"label": "maintain",
"question": "Where is the light-gray square positioned within the frame?"
},
{
"ground_truth_answer": "Circle",
"label": "maintain",
"question": "What shape is inside each gray square?"
},
{
"ground_truth_answer": "Centered",
"label": "maintain",
"question": "Where is the circle positioned within the gray square?"
},
{
"ground_truth_answer": "One",
"label": "maintain",
"question": "How many letters label each circle?"
},
{
"ground_truth_answer": "Center",
"label": "maintain",
"question": "Where is the circle’s label placed?"
},
{
"ground_truth_answer": "Smaller",
"label": "editing",
"question": "How does the circle size compare to the square’s inradius?"
},
{
"ground_truth_answer": "Fully interior",
"label": "editing",
"question": "What is the circle’s position relative to the square’s boundaries?"
},
{
"ground_truth_answer": "A clear gap.",
"label": "maintain",
"question": "In Plot 1, what is present between the circle labeled \"A\" and the top edge of the inner gray square—do they touch or is there space?"
},
{
"ground_truth_answer": "Clear gap",
"label": "maintain",
"question": "What lies between the circle and the square’s bottom side?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Do the circles in both panels match in size?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Do the squares in both panels match in styling?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Do the circles in both panels match in styling?"
},
{
"ground_truth_answer": "Central label",
"label": "maintain",
"question": "What is the only difference between the panels?"
}
] |
math
|
Shrink the inscribed circle in both panels so it no longer touches the square’s sides.
| |||
[
{
"ground_truth_answer": "upward slant",
"label": "editing",
"question": "What is the orientation of boundary segment BC?"
},
{
"ground_truth_answer": "red",
"label": "maintain",
"question": "What color are the corner vertex markers?"
},
{
"ground_truth_answer": "DC",
"label": "maintain",
"question": "Which side is the top side of the quadrilateral?"
},
{
"ground_truth_answer": "red",
"label": "maintain",
"question": "What color are points E and F?"
},
{
"ground_truth_answer": "DC",
"label": "maintain",
"question": "On which side do points E and F lie?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "Which point is second from the left along top side DC?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "Which point is third from the left along top side DC?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which point is rightmost along top side DC?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "Which point on DC is closer to C, E or F?"
},
{
"ground_truth_answer": "solid black",
"label": "editing",
"question": "What is the line style of segment DE?"
},
{
"ground_truth_answer": "Solid black.",
"label": "maintain",
"question": "On the top edge DC, consider the subsegment connecting the labeled points E and C. What is this segment's line style and color?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Are segments DE and EC contiguous?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Is segment DC straight?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "Which labeled point is connected to A by interior segment AF?"
},
{
"ground_truth_answer": "Adjacent to the red dots.",
"label": "maintain",
"question": "For the labeled points A, B, C, D, E, and F, are the text labels positioned adjacent to their corresponding red dots or placed farther away from them?"
}
] |
math
|
Make the dashed line between points D and E a solid black line.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "The image shows a quadrilateral labeled A, B, C, D with diagonals intersecting at point O. What is the overall category of this illustration (i.e., what type of diagram is it)?"
},
{
"ground_truth_answer": "Rectangle",
"label": "maintain",
"question": "What shape is depicted?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "How many vertices are labeled?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which letter labels the top-right vertex?"
},
{
"ground_truth_answer": "Thin",
"label": "editing",
"question": "In the diagram of rectangle ABCD, what is the stroke weight of the rectangle’s border lines (segments AB, BC, CD, and DA): thin or thick?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many diagonals are drawn?"
},
{
"ground_truth_answer": "Yes. They cross at point O.",
"label": "maintain",
"question": "In rectangle ABCD, do the two diagonals—AC (solid) and BD (dashed)—intersect inside the rectangle, and if so, at which labeled point?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "What is the label of the diagonals' intersection point?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which diagonal runs from top-left to bottom-right?"
},
{
"ground_truth_answer": "BD",
"label": "maintain",
"question": "Which diagonal runs from bottom-left to top-right?"
},
{
"ground_truth_answer": "Dashed",
"label": "maintain",
"question": "What line pattern does diagonal BD have?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is diagonal BD?"
},
{
"ground_truth_answer": "Slightly offset—near the intersection, not exactly at the center.",
"label": "maintain",
"question": "Is point O located exactly at the intersection of the solid diagonal AC and the dashed diagonal BD (the rectangle’s center), or is it slightly offset from that intersection?"
},
{
"ground_truth_answer": "At the diagonals' intersection",
"label": "maintain",
"question": "Where is label O placed?"
}
] |
math
|
Convert the diagonal from the top-left corner to the bottom-right corner from dashed to solid.
| |||
[
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Thin",
"label": "maintain",
"question": "In the diagram with two concentric black circles, is the line stroke of the inner (smaller) circular path thin or thick?"
},
{
"ground_truth_answer": "Gray circular markers (dots).",
"label": "maintain",
"question": "Along the smaller, inner of the two concentric circular lines, what items are placed at intervals around the circumference?"
},
{
"ground_truth_answer": "small",
"label": "maintain",
"question": "What size are the markers?"
},
{
"ground_truth_answer": "gray",
"label": "maintain",
"question": "What general color are the markers?"
},
{
"ground_truth_answer": "inner circular path",
"label": "maintain",
"question": "On which path are the direction indicators drawn?"
},
{
"ground_truth_answer": "12 o'clock",
"label": "maintain",
"question": "Where is the arrow that points upward located?"
},
{
"ground_truth_answer": "right",
"label": "maintain",
"question": "On which side is the arrow near 3 o'clock located?"
},
{
"ground_truth_answer": "horizontal",
"label": "editing",
"question": "What is the orientation of the arrow near 3 o'clock?"
}
] |
math
|
Reverse the right-side horizontal arrow so it points left instead of right.
| |||
[
{
"ground_truth_answer": "Square",
"label": "maintain",
"question": "What shape is the frame?"
},
{
"ground_truth_answer": "Lower-left",
"label": "maintain",
"question": "Where is the origin located within the frame?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "What letter labels the origin?"
},
{
"ground_truth_answer": "Arrow",
"label": "maintain",
"question": "What marking terminates the x-axis?"
},
{
"ground_truth_answer": "x",
"label": "maintain",
"question": "What label is at the x-axis arrow?"
},
{
"ground_truth_answer": "Upward",
"label": "maintain",
"question": "In which direction does the y-axis extend from the origin?"
},
{
"ground_truth_answer": "Upward",
"label": "editing",
"question": "In which direction does the first segment go?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "What letter marks the height reached on the y-axis?"
},
{
"ground_truth_answer": "Horizontally to the right",
"label": "maintain",
"question": "How does the second segment run?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "What label marks the end of the horizontal segment?"
},
{
"ground_truth_answer": "Straight",
"label": "maintain",
"question": "Is the final segment straight or curved?"
},
{
"ground_truth_answer": "Descends",
"label": "editing",
"question": "How does the final segment move vertically?"
},
{
"ground_truth_answer": "From O to the point where the slanted (oblique) segment intersects the x-axis.",
"label": "maintain",
"question": "On the x-axis, which two points bound the horizontal segment labeled 'A'—the origin O and what other specific point?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the lines?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Move the rightmost endpoint of the slanted edge slightly to the right along the x-axis, lengthening the slanted side.
| |||
[
{
"ground_truth_answer": "Mathematical formula",
"label": "maintain",
"question": "What type of content is shown?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "centered",
"label": "maintain",
"question": "Where is the formula positioned on the page?"
},
{
"ground_truth_answer": "y − m",
"label": "maintain",
"question": "What is the left-hand side of the primary equation?"
},
{
"ground_truth_answer": "equals",
"label": "maintain",
"question": "What operation connects the two sides of the primary equation?"
},
{
"ground_truth_answer": "x − m^2/2",
"label": "editing",
"question": "What multiplies the rational coefficient on the right-hand side?"
},
{
"ground_truth_answer": "y_D − m",
"label": "maintain",
"question": "What is the numerator of the rational coefficient?"
},
{
"ground_truth_answer": "y_D^2/4 − m^2/4",
"label": "maintain",
"question": "In the displayed equation y − m = (y_D − m)/(y_D^2/4 − m^2/4) (x − m^2/2), what is the denominator of the fraction whose numerator is y_D − m?"
},
{
"ground_truth_answer": "linear factor in x",
"label": "maintain",
"question": "In the displayed equation y − m = ((y_D − m)/(y_D^2/4 − m^2/4)) · (x − m^2/2), how is the factor (x − m^2/2) classified with respect to x?"
},
{
"ground_truth_answer": "italics",
"label": "maintain",
"question": "How does x appear typographically?"
},
{
"ground_truth_answer": "italics",
"label": "maintain",
"question": "How does m appear typographically?"
},
{
"ground_truth_answer": "subscript",
"label": "maintain",
"question": "In y_D, how does D appear?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "What exponent is on y_D in y_D^2?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "What exponent is on m in m^2?"
},
{
"ground_truth_answer": "horizontal bar",
"label": "editing",
"question": "How are fractions rendered?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "What is the denominator in m^2/4?"
},
{
"ground_truth_answer": "y_D/4 − m^2/4",
"label": "maintain",
"question": "What expression appears on the separate line below?"
},
{
"ground_truth_answer": "centered",
"label": "maintain",
"question": "How is the separate line aligned?"
},
{
"ground_truth_answer": "The denominator of the fraction.",
"label": "maintain",
"question": "In the image, below the main equation y − m = (y_D − m)/(y_D^2/4 − m^2/4) · (x − m^2/2), there is a separate line showing the expression “y_D/4 − m^2/4.” This separate expression corresponds to which part of the main equation?"
}
] |
math
|
Modify the expression inside the parentheses so that the fraction becomes m^2 over 2 instead of m^2 over 4.
| |||
[
{
"ground_truth_answer": "Geometric",
"label": "editing",
"question": "What kind of diagram is shown?"
},
{
"ground_truth_answer": "ABC",
"label": "maintain",
"question": "Which triangle is drawn?"
},
{
"ground_truth_answer": "A, B, C",
"label": "maintain",
"question": "Which labels mark the triangle's vertices?"
},
{
"ground_truth_answer": "Triangle with Points A, B, C, D, E.",
"label": "maintain",
"question": "What is the title?"
},
{
"ground_truth_answer": "AC",
"label": "editing",
"question": "On which segment does point E lie?"
},
{
"ground_truth_answer": "Gray",
"label": "editing",
"question": "What color is segment AD?"
},
{
"ground_truth_answer": "Dashed",
"label": "editing",
"question": "What style is segment AD?"
},
{
"ground_truth_answer": "AD, DC",
"label": "editing",
"question": "Which lines are reference lines?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color denotes the triangle edges?"
},
{
"ground_truth_answer": "Gray dashed",
"label": "maintain",
"question": "What color/style denotes AD and DC?"
}
] |
math
|
Move point E from the midpoint of AD to the midpoint of AC, so the black segment runs along AC instead of toward D.
| |||
[
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "What is the label of the external point?"
},
{
"ground_truth_answer": "External",
"label": "maintain",
"question": "What type of point is F?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of AB?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of BD?"
},
{
"ground_truth_answer": "Top-right",
"label": "maintain",
"question": "Where is vertex D located?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "From which point does DE descend?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of EA?"
},
{
"ground_truth_answer": "E",
"label": "editing",
"question": "From which point does EA return to A?"
},
{
"ground_truth_answer": "Inside/below",
"label": "editing",
"question": "Where in the figure is AC drawn?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "From which point does AC slope to C?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "Is segment CB solid or dashed?"
},
{
"ground_truth_answer": "CD",
"label": "maintain",
"question": "Which segment connects C to D?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "Is segment CD solid or dashed?"
},
{
"ground_truth_answer": "Long",
"label": "maintain",
"question": "In the diagram, consider the line segment connecting point C to point D (the diagonal from C to the top-right vertex D). Using the qualitative categories 'short' or 'long', how is the length of segment CD characterized?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "What segment does CD cross?"
},
{
"ground_truth_answer": "EC",
"label": "maintain",
"question": "Which segment connects E to C?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "Is segment EC solid or dashed?"
},
{
"ground_truth_answer": "Diagonal",
"label": "maintain",
"question": "What type of segment is EC?"
},
{
"ground_truth_answer": "Short",
"label": "editing",
"question": "Is segment BF short or long?"
},
{
"ground_truth_answer": "Dashed",
"label": "editing",
"question": "Is segment BF solid or dashed?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "At which point does BF terminate?"
}
] |
math
|
Move the dashed line so it starts at vertex B instead of vertex A, keeping its other endpoint at F.
| |||
[
{
"ground_truth_answer": "Slanted",
"label": "maintain",
"question": "How is the parallelogram oriented overall?"
},
{
"ground_truth_answer": "Top-left",
"label": "maintain",
"question": "Where is vertex D located?"
},
{
"ground_truth_answer": "AB, BC, CD, DA",
"label": "maintain",
"question": "Which segments form the perimeter?"
},
{
"ground_truth_answer": "Solid black",
"label": "maintain",
"question": "What style and color are the perimeter lines?"
},
{
"ground_truth_answer": "Oblique",
"label": "maintain",
"question": "What is the orientation of AD?"
},
{
"ground_truth_answer": "Oblique",
"label": "maintain",
"question": "What is the orientation of BC?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the diagonals?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "From which point does segment AE start?"
},
{
"ground_truth_answer": "DB",
"label": "maintain",
"question": "E lies near which dashed diagonal?"
},
{
"ground_truth_answer": "Short",
"label": "maintain",
"question": "What is the relative length of AF?"
},
{
"ground_truth_answer": "Above",
"label": "editing",
"question": "Where is label C relative to the top edge?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "Are the outer edges solid or dashed?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is AC?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is DB?"
}
] |
math
|
Make the line from A to point E solid instead of dashed.
| |||
[
{
"ground_truth_answer": "0",
"label": "editing",
"question": "Counting only shapes formed by the solid black outline(s) in the image, how many of those shapes are parallelograms?"
},
{
"ground_truth_answer": "unfilled",
"label": "maintain",
"question": "Is the parallelogram filled or unfilled?"
},
{
"ground_truth_answer": "thin",
"label": "maintain",
"question": "How thick is the outline?"
},
{
"ground_truth_answer": "Uniform",
"label": "maintain",
"question": "For the black outline of the quadrilateral, is the stroke thickness uniform along all sides or does it vary?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "oblique",
"label": "maintain",
"question": "What is the overall orientation of the shape?"
},
{
"ground_truth_answer": "top-right",
"label": "maintain",
"question": "Which vertex is higher between the top-left and top-right?"
},
{
"ground_truth_answer": "top-left",
"label": "maintain",
"question": "Which vertex is lower between the top-left and top-right?"
},
{
"ground_truth_answer": "upward left to right",
"label": "maintain",
"question": "How does the top edge slope?"
},
{
"ground_truth_answer": "short",
"label": "maintain",
"question": "Looking at the outlined quadrilateral, and choosing only between 'short' and 'long,' how would you describe the length of the leftmost slanted edge?"
},
{
"ground_truth_answer": "bottom-right to top-right",
"label": "editing",
"question": "From which vertex to which vertex does the right side run?"
},
{
"ground_truth_answer": "taller",
"label": "editing",
"question": "How tall is the right edge relative to the left?"
},
{
"ground_truth_answer": "blank",
"label": "maintain",
"question": "What is inside the parallelogram?"
}
] |
math
|
Move the top-left corner of the parallelogram downward to make the top edge slope upward from left to right.
| |||
[
{
"ground_truth_answer": "black on white",
"label": "maintain",
"question": "What is the color scheme?"
},
{
"ground_truth_answer": "long",
"label": "maintain",
"question": "Is the baseline long or short?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of the baseline?"
},
{
"ground_truth_answer": "M–N",
"label": "maintain",
"question": "How is the baseline labeled?"
},
{
"ground_truth_answer": "on the baseline",
"label": "maintain",
"question": "Where does point A lie relative to the baseline?"
},
{
"ground_truth_answer": "Between M and B, nearer to M.",
"label": "maintain",
"question": "On the horizontal baseline MN, where is point A located relative to M, B, and N (is it between M and B or between B and N, and which endpoint is it nearer)?"
},
{
"ground_truth_answer": "beneath the line",
"label": "maintain",
"question": "Where is A’s label positioned relative to the line?"
},
{
"ground_truth_answer": "on the baseline",
"label": "maintain",
"question": "Where does point B lie relative to the baseline?"
},
{
"ground_truth_answer": "Between M and N, closer to N (right interior).",
"label": "maintain",
"question": "On the horizontal baseline labeled M–N at the bottom of the figure, where is point B positioned relative to the endpoints M and N?"
},
{
"ground_truth_answer": "Solid",
"label": "editing",
"question": "In the diagram, what is the line style of the straight segment connecting point Q to point B: solid or dashed?"
},
{
"ground_truth_answer": "B",
"label": "editing",
"question": "Where does the Q–B segment meet the baseline?"
},
{
"ground_truth_answer": "triangular wedge",
"label": "maintain",
"question": "Considering the region enclosed by the slanted segments A–Q and Q–B and the horizontal base segment A–B on the baseline, which shape best describes this region: triangular wedge, rectangle, or trapezoid?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Is there a vertical dashed marker at A?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Is there a vertical dashed marker at B?"
},
{
"ground_truth_answer": "vertical",
"label": "maintain",
"question": "What is the orientation of these dashed markers?"
},
{
"ground_truth_answer": "The horizontal baseline labeled M–N.",
"label": "maintain",
"question": "In the diagram, from which line do the two dashed vertical markers originate?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Do the dashed markers rise upward?"
},
{
"ground_truth_answer": "dashed",
"label": "maintain",
"question": "What is the style of the markers at A and B?"
},
{
"ground_truth_answer": "far right",
"label": "maintain",
"question": "Where is the orientation symbol located?"
},
{
"ground_truth_answer": "Upward",
"label": "maintain",
"question": "On the right side of the image, beside the label 'n', there is a single vertical arrow. In which direction does the arrowhead point?"
},
{
"ground_truth_answer": "n",
"label": "maintain",
"question": "What letter labels the vertical arrow?"
},
{
"ground_truth_answer": "short",
"label": "maintain",
"question": "What word describes the length of the small horizontal tick mark to the right of the vertical arrow on the right side of the image?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Does the label A appear?"
}
] |
math
|
Replace the label “P” at the peak point with “Q”.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "What type of image is described?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "How many labeled points are shown?"
},
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "How many black line segments are shown?"
},
{
"ground_truth_answer": "Upper portion",
"label": "maintain",
"question": "Where is AB located in the image?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which point is at the left end of AB?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which point is at the right end of AB?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "From which point does segment AD start?"
},
{
"ground_truth_answer": "Steep",
"label": "editing",
"question": "Considering the line segment AD (from point A to point D), how would you describe its slope relative to the horizontal line AB: steep or gentle?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "To which point does AD descend?"
},
{
"ground_truth_answer": "Well below",
"label": "maintain",
"question": "Relative to A, where does D sit vertically?"
},
{
"ground_truth_answer": "Well below",
"label": "editing",
"question": "Relative to C, where does D sit vertically?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "Where is C relative to D horizontally?"
},
{
"ground_truth_answer": "Below",
"label": "maintain",
"question": "Where is C relative to A vertically?"
},
{
"ground_truth_answer": "Descends",
"label": "editing",
"question": "What is CD's vertical trend toward D?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Except at what point is AD above CD?"
},
{
"ground_truth_answer": "Near midpoint",
"label": "maintain",
"question": "Where is the annotation 2 located on AD?"
},
{
"ground_truth_answer": "Right of them near D",
"label": "editing",
"question": "Where is the annotation 1 located relative to AD and CD?"
},
{
"ground_truth_answer": "Point D is the lowest point, lying below both A and C.",
"label": "maintain",
"question": "In the diagram, which specific positional relationship highlights that the segment AD slopes steeply downward to the right?"
},
{
"ground_truth_answer": "AD, CD",
"label": "editing",
"question": "Which segments are diagonal?"
}
] |
math
|
Move the right endpoint D straight downward to increase the diagonal’s slope while keeping A, B, and C fixed.
| |||
[
{
"ground_truth_answer": "Geometric Representation",
"label": "maintain",
"question": "What is the title of this diagram?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point B present?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point D present?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point F present?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point H present?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the style of A–E?"
},
{
"ground_truth_answer": "Short",
"label": "editing",
"question": "How is the length of segment A–B described?"
},
{
"ground_truth_answer": "Down-left",
"label": "maintain",
"question": "In what direction does A connect to B?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "From which point does a dashed ray extend to F?"
},
{
"ground_truth_answer": "Down-left",
"label": "maintain",
"question": "In what direction does ray B–F go?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the style of segment E–D?"
},
{
"ground_truth_answer": "Lower-right",
"label": "maintain",
"question": "Where is point D located?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of segment A–H?"
},
{
"ground_truth_answer": "Dashed",
"label": "maintain",
"question": "What is the style of segment E–G?"
},
{
"ground_truth_answer": "H",
"label": "maintain",
"question": "Which point does vertical A–H meet on the base?"
},
{
"ground_truth_answer": "Dashed",
"label": "editing",
"question": "What is the style of segment G–D?"
},
{
"ground_truth_answer": "A broken solid line (two solid segments B–C and C–D).",
"label": "editing",
"question": "In the diagram, how is the line from B through C to D drawn—specifically, is it a single straight segment or a broken line, and is it solid or dashed?"
},
{
"ground_truth_answer": "C",
"label": "editing",
"question": "At which point does the broken diagonal from B to D have a kink?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the style of segment B–C?"
},
{
"ground_truth_answer": "More steeply down-right",
"label": "editing",
"question": "How does segment C–D slope?"
},
{
"ground_truth_answer": "G and D",
"label": "maintain",
"question": "Between which base points is C positioned?"
},
{
"ground_truth_answer": "Dashed",
"label": "editing",
"question": "What is the style of segment G–C?"
},
{
"ground_truth_answer": "G, C, D",
"label": "editing",
"question": "Which points form a small triangle?"
},
{
"ground_truth_answer": "Smallest",
"label": "maintain",
"question": "Comparing the areas of the three outlined triangles A–B–H, E–D–G, and G–C–D in the image, what is the size category of triangle G–C–D (smallest, middle, or largest)?"
},
{
"ground_truth_answer": "G–D",
"label": "editing",
"question": "Which base side of triangle G–C–D is dashed?"
}
] |
math
|
Raise point C vertically upward so the diagonal from B to C tilts less downward and C no longer lies on the base line.
| |||
[
{
"ground_truth_answer": "Schematic block diagram",
"label": "maintain",
"question": "What type of image is depicted?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of the rectangles?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is the top rectangle described as long?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "In the large outlined rectangle, focus on the rectangular region bounded by the bottom edge and the central horizontal line (treating it as one region despite the two vertical partitions). Is this bottom region wider than it is tall?"
},
{
"ground_truth_answer": "Three",
"label": "maintain",
"question": "Into how many blocks is the lower rectangle subdivided?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "In the lower half of the large rectangle (between labels A and B), the area is split into three blocks by two dividers. Do those dividers run vertically or horizontally?"
},
{
"ground_truth_answer": "Two",
"label": "maintain",
"question": "How many partition lines divide the lower row?"
},
{
"ground_truth_answer": "Yes",
"label": "editing",
"question": "Does the top bar span the full width of the figure?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the outlines?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Left, center, right",
"label": "maintain",
"question": "What are the positions of the lower row blocks?"
}
] |
math
|
Extend the top horizontal rectangle so it spans across all four bottom blocks to the right.
| |||
[
{
"ground_truth_answer": "2 rows and 6 columns (a 2×6 grid).",
"label": "maintain",
"question": "Counting all internal subdivisions, how many rows and how many columns does the rectangular grid in the center of the image have?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are the lines?"
},
{
"ground_truth_answer": "Thin.",
"label": "maintain",
"question": "Are the black lines forming the rectangular grid in the diagram thin or thick?"
},
{
"ground_truth_answer": "6",
"label": "maintain",
"question": "How many columns does the grid have?"
},
{
"ground_truth_answer": "5",
"label": "maintain",
"question": "How many internal vertical partitions are present?"
},
{
"ground_truth_answer": "six equal-width columns",
"label": "maintain",
"question": "What do the vertical partitions create?"
},
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "Within the main rectangle, excluding the top and bottom borders, how many internal horizontal dividing lines run across from the left edge to the right edge?"
},
{
"ground_truth_answer": "below midpoint",
"label": "editing",
"question": "Where is the horizontal partition relative to the midpoint?"
},
{
"ground_truth_answer": "upper row",
"label": "editing",
"question": "Which row is taller?"
},
{
"ground_truth_answer": "lower row",
"label": "editing",
"question": "Which row is shorter?"
},
{
"ground_truth_answer": "a_1, a_2, a_{s-1}, a_s",
"label": "maintain",
"question": "What are the top-edge labels from left to right?"
},
{
"ground_truth_answer": "a_{s-1}",
"label": "maintain",
"question": "Which label is near the second column from the right?"
},
{
"ground_truth_answer": "a_s",
"label": "maintain",
"question": "Which label is at the far-right column?"
},
{
"ground_truth_answer": "b_1",
"label": "maintain",
"question": "Which label is centered on the left outer edge?"
},
{
"ground_truth_answer": "b_m",
"label": "maintain",
"question": "Which label is centered on the right outer edge?"
},
{
"ground_truth_answer": "c_r",
"label": "maintain",
"question": "Which bottom-edge label sits below the lower-right corner?"
},
{
"ground_truth_answer": "Unequal row heights (the top row is taller than the bottom row).",
"label": "editing",
"question": "In the grid of rectangles, what feature of the two horizontal rows—specifically the top row versus the bottom row—is being emphasized?"
},
{
"ground_truth_answer": "same",
"label": "maintain",
"question": "What is the relationship between the columns spanned by the two strips?"
}
] |
math
|
Move the central horizontal line downward so the top row becomes taller and the bottom row shorter.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "editing",
"question": "What kind of diagram is shown?"
},
{
"ground_truth_answer": "Triangle",
"label": "maintain",
"question": "What primary shape does the diagram depict?"
},
{
"ground_truth_answer": "B, C, F",
"label": "maintain",
"question": "Which points lie on the same black horizontal line?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color is point B?"
},
{
"ground_truth_answer": "Green",
"label": "maintain",
"question": "What color is point C?"
},
{
"ground_truth_answer": "Red",
"label": "maintain",
"question": "What color is point F?"
},
{
"ground_truth_answer": "Orange",
"label": "maintain",
"question": "What color is point A?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which segment connects points A and C?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "Which segment serves as the triangle’s baseline?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "What label appears at the green point?"
}
] |
math
|
Move the rightmost red point F left along the horizontal line so it sits closer to C.
| |||
[
{
"ground_truth_answer": "Cartesian",
"label": "maintain",
"question": "What coordinate system does the plot use?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Are gridlines present on the plot?"
},
{
"ground_truth_answer": "light-gray",
"label": "maintain",
"question": "What color are the gridlines?"
},
{
"ground_truth_answer": "blue",
"label": "maintain",
"question": "What color is the curve?"
},
{
"ground_truth_answer": "y",
"label": "maintain",
"question": "What is the vertical axis label?"
},
{
"ground_truth_answer": "upper-right",
"label": "maintain",
"question": "Where is the legend located?"
},
{
"ground_truth_answer": "parabola",
"label": "maintain",
"question": "What is the general shape of the curve?"
},
{
"ground_truth_answer": "upward",
"label": "maintain",
"question": "Which way does the parabola open?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Does the curve's minimum occur at the vertex?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "What is the x-coordinate of the vertex?"
},
{
"ground_truth_answer": "x = 2",
"label": "editing",
"question": "About which vertical line is the graph symmetric?"
},
{
"ground_truth_answer": "5",
"label": "maintain",
"question": "What visible y-axis tick label equals 5?"
},
{
"ground_truth_answer": "10",
"label": "maintain",
"question": "What visible y-axis tick label equals 10?"
},
{
"ground_truth_answer": "15",
"label": "maintain",
"question": "What visible y-axis tick label equals 15?"
}
] |
math
|
Shift the parabola 2 units to the right so that its vertex moves from x = 0 to x = 2.
| |||
[
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the diagram include labeled vertices?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the diagram include interior segments?"
},
{
"ground_truth_answer": "Lower-left",
"label": "maintain",
"question": "Where is E located?"
},
{
"ground_truth_answer": "Below",
"label": "editing",
"question": "Where is E relative to B?"
},
{
"ground_truth_answer": "Solid black",
"label": "maintain",
"question": "What is the style of the edge connecting C and E?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the style of diagonal BC?"
},
{
"ground_truth_answer": "B to C",
"label": "maintain",
"question": "From which vertex to which does BC run?"
},
{
"ground_truth_answer": "Obliquely upward",
"label": "editing",
"question": "What is the orientation of BC from B to C?"
},
{
"ground_truth_answer": "No",
"label": "editing",
"question": "Is BC horizontal?"
},
{
"ground_truth_answer": "C",
"label": "editing",
"question": "Between the two endpoints of segment BC, which endpoint (B on the left or C on the right) is positioned closer to the top edge of the image?"
},
{
"ground_truth_answer": "At a point strictly between B and C (an interior point of BC).",
"label": "maintain",
"question": "Where does the dashed segment EA cross the segment labeled BC in the diagram: at B, at C, or at a point strictly between B and C?"
},
{
"ground_truth_answer": "No",
"label": "maintain",
"question": "Is the EA–BC intersection point labeled?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which letter is printed adjacent to that corner?"
},
{
"ground_truth_answer": "Beside",
"label": "maintain",
"question": "Where are the labels placed relative to vertices?"
}
] |
math
|
Move vertex C slightly upward so that the base segment from B to C is no longer horizontal.
| |||
[
{
"ground_truth_answer": "Connected segments",
"label": "maintain",
"question": "What else is shown besides labeled points?"
},
{
"ground_truth_answer": "Parallel",
"label": "maintain",
"question": "What is the relationship between the two thick gray horizontal segments?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What is the color of the two horizontal boundary segments?"
},
{
"ground_truth_answer": "D and B",
"label": "maintain",
"question": "Which points are connected by the top thick gray segment?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which point is at the left end of the top thick gray segment?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which point is at the right end of the top thick gray segment?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "Which point is at the left end of the bottom thick gray segment?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which segment forms the right edge?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of segment AB?"
},
{
"ground_truth_answer": "Thin black stroke.",
"label": "maintain",
"question": "In the diagram, consider segment AB—the vertical line at the far right connecting point A (bottom-right) to point B (top-right). Is this segment drawn with the thin black stroke or the thicker gray stroke?"
},
{
"ground_truth_answer": "A and B",
"label": "maintain",
"question": "Which points does segment AB join?"
},
{
"ground_truth_answer": "BC, CA, CD",
"label": "maintain",
"question": "Which segments meet at point C?"
},
{
"ground_truth_answer": "B and C",
"label": "maintain",
"question": "Which points are connected by segment BC?"
},
{
"ground_truth_answer": "Diagonally down-left",
"label": "maintain",
"question": "What is the direction of BC from B to C?"
},
{
"ground_truth_answer": "Thin black line.",
"label": "maintain",
"question": "In the diagram, segment BC (from the center point C to the top-right vertex B) is drawn with which line style: the thin black line or the thick gray line?"
},
{
"ground_truth_answer": "C and A",
"label": "maintain",
"question": "Which points are connected by segment CA?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of segment CA?"
},
{
"ground_truth_answer": "C and D",
"label": "maintain",
"question": "Which points are connected by segment CD?"
},
{
"ground_truth_answer": "Thin black.",
"label": "maintain",
"question": "In the diagram, some segments are thick gray and others are thin black. Which line thickness/style is used for segment CD?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of segment CD?"
},
{
"ground_truth_answer": "Between them",
"label": "maintain",
"question": "Where is point C relative to the two horizontal segments?"
},
{
"ground_truth_answer": "Acute",
"label": "maintain",
"question": "Considering the angle at point C formed by segments CA and CB (∠ACB), is this angle acute (less than 90°) or obtuse (greater than 90°)?"
},
{
"ground_truth_answer": "Right edge AB",
"label": "maintain",
"question": "Toward which edge does the V open?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the vertex labels?"
},
{
"ground_truth_answer": "Segments AD and BC.",
"label": "editing",
"question": "In the diagram, which two drawn segments intersect at point C?"
},
{
"ground_truth_answer": "Upper-left",
"label": "maintain",
"question": "Where is point D located?"
}
] |
math
|
Move point C to the right and slightly down so the lines BC, CA, and CD pivot around B, A, and D respectively.
| |||
[
{
"ground_truth_answer": "Cartesian axes",
"label": "maintain",
"question": "What type of axes are shown?"
},
{
"ground_truth_answer": "V",
"label": "maintain",
"question": "What point does the slanted segment reach?"
},
{
"ground_truth_answer": "On the positive horizontal axis",
"label": "maintain",
"question": "Where is the second black dot located?"
},
{
"ground_truth_answer": "Beneath V",
"label": "maintain",
"question": "Relative to V, where is the second black dot?"
},
{
"ground_truth_answer": "r",
"label": "maintain",
"question": "In the diagram, a vertical line segment runs from the point on the arc labeled 'v' straight down to the black dot on the x-axis. Which single letter is printed next to this vertical segment?"
},
{
"ground_truth_answer": "Dashed",
"label": "maintain",
"question": "What is the line style of the nearby arrow?"
},
{
"ground_truth_answer": "Curved",
"label": "maintain",
"question": "What is the shape of the nearby arrow?"
},
{
"ground_truth_answer": "Sweep (swept angle)",
"label": "maintain",
"question": "In the diagram, what does the short dashed curved arrow next to the rightmost black point on the x-axis (between the horizontal axis and the slanted radius to point V) represent?"
},
{
"ground_truth_answer": "Three",
"label": "maintain",
"question": "Into how many parts is the positive horizontal axis divided?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of the segment from the origin to the foot under V?"
},
{
"ground_truth_answer": "Origin and foot under V",
"label": "editing",
"question": "Between which points does the black segment run?"
},
{
"ground_truth_answer": "Terminal tick",
"label": "maintain",
"question": "What marks the end of the blue segment?"
},
{
"ground_truth_answer": "Circular",
"label": "maintain",
"question": "What type of arc is depicted?"
},
{
"ground_truth_answer": "Thick",
"label": "maintain",
"question": "How is the arc's line weight described?"
},
{
"ground_truth_answer": "Lower right",
"label": "maintain",
"question": "Where is the text with equations located?"
},
{
"ground_truth_answer": "t = r cos θ",
"label": "maintain",
"question": "What is the displayed equation for t?"
}
] |
math
|
Recolor the middle horizontal segment on the x-axis from red to green.
| |||
[
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "In the image, count only the two outer triangular outlines—one in the left cluster and one in the right cluster—ignoring any smaller triangles created by interior intersecting lines. How many such outer triangles are there in total?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the base orientation of the left triangle?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "In the left-hand triangle, where is the apex (topmost vertex) positioned relative to the triangle’s bottom horizontal base edge—above, on, or below it?"
},
{
"ground_truth_answer": "Slightly clockwise",
"label": "editing",
"question": "How is the left triangle's interior line oriented relative to vertical?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "Which way is the top of the left triangle's interior line displaced?"
},
{
"ground_truth_answer": "In the upper-right quadrant of the image.",
"label": "maintain",
"question": "In the larger triangle on the right side of the image, where is its apex (top vertex) located relative to the overall image frame?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Do the oblique lines extend outside the right triangle's edges?"
},
{
"ground_truth_answer": "Just left",
"label": "maintain",
"question": "Where is the X's intersection relative to the vertical line?"
},
{
"ground_truth_answer": "Upper right",
"label": "editing",
"question": "Toward which direction does the rising oblique line head?"
}
] |
math
|
Rotate the single vertical line inside the small left triangle so it leans slightly to the right instead of being perfectly vertical.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "What type of image is shown?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color outlines the circle?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "What diameter is drawn in the circle?"
},
{
"ground_truth_answer": "Top",
"label": "maintain",
"question": "Where on the circle is point A?"
},
{
"ground_truth_answer": "A small solid black dot.",
"label": "maintain",
"question": "In the circle diagram, what symbol marks the point labeled “O” on the vertical diameter?"
},
{
"ground_truth_answer": "On circumference",
"label": "maintain",
"question": "Where does point G lie?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Do diameter AB and chord GD intersect?"
},
{
"ground_truth_answer": "Inside",
"label": "maintain",
"question": "Where do AB and GD cross relative to the circle?"
},
{
"ground_truth_answer": "Above O",
"label": "editing",
"question": "Relative to O, where is the intersection of GD and AB?"
},
{
"ground_truth_answer": "Upper half",
"label": "editing",
"question": "In which half of the circle is the intersection point?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "Which label appears on the diameter’s lower portion?"
},
{
"ground_truth_answer": "O and B",
"label": "maintain",
"question": "Between which points on the diameter is label E located?"
},
{
"ground_truth_answer": "Right-angle symbol",
"label": "maintain",
"question": "What small symbol is drawn near the diameter?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "On which side of the diameter is the right-angle symbol?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the graphics and labels?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Move the horizontal chord CD upward so it crosses the vertical diameter above the center, keeping it horizontal and preserving all other elements.
| |||
[
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many polygons are shown?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are the polygons connected?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color outlines the upper rectangle?"
},
{
"ground_truth_answer": "Red",
"label": "editing",
"question": "What color outlines the lower polygon?"
},
{
"ground_truth_answer": "Mid–top",
"label": "maintain",
"question": "Where on the blue rectangle is point C located?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which label marks the blue rectangle's bottom-left corner?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "Which label marks the blue rectangle's bottom-right corner?"
},
{
"ground_truth_answer": "A–E",
"label": "maintain",
"question": "Which segment forms the blue rectangle's bottom edge?"
},
{
"ground_truth_answer": "On A–E",
"label": "maintain",
"question": "Where is the small black filled point labeled D located?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the small filled point on A–E?"
},
{
"ground_truth_answer": "Filled",
"label": "maintain",
"question": "What is the fill state of the small point on A–E?"
},
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "What text appears inside the blue rectangle?"
},
{
"ground_truth_answer": "A–D",
"label": "maintain",
"question": "In the diagram, the blue polygon has vertices A–B–C–D–E and the red polygon has vertices A–D–F–G–H. Which labeled horizontal segment is the common edge shared by both polygons (the bottom edge of the blue shape that is also the top edge of the red shape)?"
},
{
"ground_truth_answer": "Diagonal",
"label": "maintain",
"question": "What is the orientation of edge D–F in the red polygon?"
},
{
"ground_truth_answer": "Down to lower right",
"label": "maintain",
"question": "In which direction does edge D–F go?"
},
{
"ground_truth_answer": "Red",
"label": "editing",
"question": "What color is edge D–F?"
},
{
"ground_truth_answer": "Lower right",
"label": "maintain",
"question": "Where is point F located on the red polygon?"
},
{
"ground_truth_answer": "G",
"label": "maintain",
"question": "Through which point does the base pass between F and H?"
},
{
"ground_truth_answer": "H",
"label": "maintain",
"question": "On the bottom red horizontal base that passes through point G, which labeled point lies immediately to the left of G?"
},
{
"ground_truth_answer": "Lower left",
"label": "maintain",
"question": "Where is point H located on the red polygon?"
},
{
"ground_truth_answer": "Up",
"label": "maintain",
"question": "In which direction does edge H–A go?"
},
{
"ground_truth_answer": "H to A",
"label": "maintain",
"question": "In the lower red figure, the leftmost vertical red edge runs upward. From which labeled point at the bottom does it go up to which labeled point at the top?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many black angular annotations are present?"
},
{
"ground_truth_answer": "Outside the red shape, immediately left of point A on H–A.",
"label": "maintain",
"question": "In the diagram, relative to the red vertical segment H–A, where is the “85°” label positioned?"
},
{
"ground_truth_answer": "50°",
"label": "maintain",
"question": "Which angle value points toward edge D–F?"
},
{
"ground_truth_answer": "Inside the red polygon",
"label": "editing",
"question": "Where is the 50° annotation located?"
}
] |
math
|
Recolor the lower green polygon outline to red while leaving all other elements unchanged.
| |||
[
{
"ground_truth_answer": "CD",
"label": "maintain",
"question": "What line serves as the baseline?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What is the color of line CD?"
},
{
"ground_truth_answer": "Between C and the intersection",
"label": "maintain",
"question": "Where is O along CD relative to C and the AB–CD intersection?"
},
{
"ground_truth_answer": "CA and AB",
"label": "maintain",
"question": "Which segments compose the polyline C–A–B?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "From which point does segment CA start?"
},
{
"ground_truth_answer": "Rise",
"label": "maintain",
"question": "Does segment CA rise or descend from C to A?"
},
{
"ground_truth_answer": "Down-right",
"label": "maintain",
"question": "What is the direction of segment AB from A?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which segment intersects CD?"
},
{
"ground_truth_answer": "Interior point",
"label": "editing",
"question": "What type of point is the AB–CD intersection?"
},
{
"ground_truth_answer": "A, B, C, D, O",
"label": "maintain",
"question": "Which labels are visible?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which point marks the lower-right end of the descending segment?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "Which point lies on the gray line left of the intersection?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which point is at the extended right end of CD?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which point is at the left end of the gray line?"
}
] |
math
|
Extend the right end of the gray horizontal baseline further to the right, moving label D accordingly.
| |||
[
{
"ground_truth_answer": "Analytic geometry diagram",
"label": "editing",
"question": "What kind of diagram is shown?"
},
{
"ground_truth_answer": "y-axis",
"label": "maintain",
"question": "Which axis is vertical?"
},
{
"ground_truth_answer": "x′-axis",
"label": "maintain",
"question": "In the diagram, the two perpendicular axes intersecting at point O are labeled x′ and y. Which of these axes is drawn horizontally across the page?"
},
{
"ground_truth_answer": "origin O",
"label": "maintain",
"question": "At what point do the axes intersect?"
},
{
"ground_truth_answer": "straight line",
"label": "maintain",
"question": "What type of line is drawn?"
},
{
"ground_truth_answer": "negative",
"label": "editing",
"question": "What is the slope sign of the line?"
},
{
"ground_truth_answer": "right of O",
"label": "editing",
"question": "Where does the line cross the x′-axis relative to O?"
},
{
"ground_truth_answer": "positive",
"label": "editing",
"question": "What is the sign of the line’s x′-intercept?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "What label marks the region near the first quadrant between the slanted line and the axes?"
},
{
"ground_truth_answer": "near first quadrant",
"label": "maintain",
"question": "In which quadrant is region A located?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "What label marks the area in the third quadrant left-below the origin?"
},
{
"ground_truth_answer": "One color (monochrome).",
"label": "maintain",
"question": "Considering only the plotted curves—the diagonal line and the arc—are they rendered in one color or in multiple distinct colors?"
}
] |
math
|
Rotate the straight line so it slopes downward from left to right while keeping the circle and axes unchanged.
| |||
[
{
"ground_truth_answer": "trapezoid ABCD",
"label": "editing",
"question": "What shape is depicted?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which segment forms the bottom base?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "From which point does AD start?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Toward which point does AD go?"
},
{
"ground_truth_answer": "up-right",
"label": "maintain",
"question": "In which direction does AD rise from A?"
},
{
"ground_truth_answer": "DC",
"label": "maintain",
"question": "Which segment forms the top edge?"
},
{
"ground_truth_answer": "short",
"label": "editing",
"question": "For the top horizontal line segment labeled DC in the diagram, which length descriptor applies (choose one): short or long?"
},
{
"ground_truth_answer": "Shorter than AB.",
"label": "editing",
"question": "In the diagram, consider the top horizontal segment DC (from point D to point C). Compared to the bottom segment AB, is DC equal in length, longer, or shorter?"
},
{
"ground_truth_answer": "much shorter",
"label": "editing",
"question": "How does DC's length compare to AB?"
},
{
"ground_truth_answer": "slanted",
"label": "maintain",
"question": "What is the orientation of CB?"
},
{
"ground_truth_answer": "DB",
"label": "maintain",
"question": "Which diagonal connects D and B?"
},
{
"ground_truth_answer": "DB",
"label": "maintain",
"question": "On which segment does point F lie?"
},
{
"ground_truth_answer": "right",
"label": "maintain",
"question": "Relative to the vertical line through the midpoint of segment AB, on which side does point F lie: left or right?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "What point is the intersection of EF and DB?"
},
{
"ground_truth_answer": "A, B, C, D, E, F",
"label": "maintain",
"question": "Which point labels appear?"
},
{
"ground_truth_answer": "near respective vertices",
"label": "maintain",
"question": "Where do labels appear relative to vertices?"
}
] |
math
|
Move vertex C leftward along the top horizontal edge to shorten segment DC while keeping it on the same horizontal line.
| |||
[
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "How many vertices does the figure have?"
},
{
"ground_truth_answer": "Yes.",
"label": "maintain",
"question": "Is a vertex labeled “A” (marked as ∠A) present at the top junction where the segments to B, C, and D meet?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is vertex D present?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are the lines?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which diagonal is drawn?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "Which segment forms the base?"
},
{
"ground_truth_answer": "B and C",
"label": "maintain",
"question": "Which vertices does BC connect?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which vertex is at the lower left?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which vertex is at the lower right?"
},
{
"ground_truth_answer": "up and right",
"label": "maintain",
"question": "What is the direction of BA from B?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is D higher than C?"
},
{
"ground_truth_answer": "right side",
"label": "maintain",
"question": "What side of the figure does CD form?"
},
{
"ground_truth_answer": "Down-left toward C.",
"label": "maintain",
"question": "In the diagram, along segment CD, what is the direction when moving from point D toward point C?"
},
{
"ground_truth_answer": "inside",
"label": "maintain",
"question": "Where does AC lie relative to the figure?"
},
{
"ground_truth_answer": "Downward.",
"label": "maintain",
"question": "In the diagram, focus on line segment AC that starts at point A (the vertex marked ∠A) and ends at point C (the right endpoint of base BC). From A toward C, does this segment go upward or downward?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are text annotations present?"
},
{
"ground_truth_answer": "∠C",
"label": "editing",
"question": "What text appears near vertex C?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many edges are labeled with numerals?"
},
{
"ground_truth_answer": "numerals",
"label": "maintain",
"question": "What kind of labels are used on the edges?"
},
{
"ground_truth_answer": "small",
"label": "maintain",
"question": "In the diagram, what is the font size category of the numerals '1', '2', '3', and '4' placed beside the two inner slanted segments (between B and the interior vertex, and between that vertex and C): small, medium, or large?"
},
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "Which numeral on BA is closer to B?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "Which numeral on BA is closer to A?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are numerals placed on AC?"
},
{
"ground_truth_answer": "upper portion near A",
"label": "maintain",
"question": "Where on AC is numeral 3 located?"
},
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "Which numeral on AC lies near A?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "Which numeral on AC lies below 3 toward C?"
}
] |
math
|
Move vertex D upward to make the top edge slant upward to the right while keeping all other points fixed.
| |||
[
{
"ground_truth_answer": "1 unit",
"label": "maintain",
"question": "According to the axis tick labels, what is the spacing between adjacent grid lines along the x-axis (e.g., between x=0 and x=1)?"
},
{
"ground_truth_answer": "Right triangle",
"label": "maintain",
"question": "What type of triangle is the black triangle?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of segment BC of the black triangle?"
},
{
"ground_truth_answer": "Slanted",
"label": "maintain",
"question": "What is the orientation of segment AC of the black triangle?"
},
{
"ground_truth_answer": "Red right triangle",
"label": "maintain",
"question": "What shape is adjacent to the black triangle?"
},
{
"ground_truth_answer": "(9, 9)",
"label": "maintain",
"question": "On the left side of the image, look at the red triangle with vertices connected by a horizontal edge at y=9 and a vertical edge at x=9. What are the coordinates of the vertex where these two red edges meet (the top-right corner of the red triangle)?"
},
{
"ground_truth_answer": "A'",
"label": "maintain",
"question": "What label is near point (9,5)?"
},
{
"ground_truth_answer": "(5,9)",
"label": "maintain",
"question": "Which coordinate is shared by both triangles?"
},
{
"ground_truth_answer": "Pale yellow",
"label": "maintain",
"question": "What color is the center-bottom trapezoid?"
},
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "On which y-level is the trapezoid’s longer base?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "On which y-level is the trapezoid’s shorter base?"
},
{
"ground_truth_answer": "(10,1)",
"label": "maintain",
"question": "What is an approximate vertex of the yellow trapezoid at the lower left?"
},
{
"ground_truth_answer": "(14,1)",
"label": "maintain",
"question": "What is an approximate vertex of the yellow trapezoid at the lower right?"
},
{
"ground_truth_answer": "(11,4)",
"label": "maintain",
"question": "What is an approximate vertex of the yellow trapezoid at the upper left?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What is the color of the circle?"
},
{
"ground_truth_answer": "Large",
"label": "maintain",
"question": "Choose one: small, medium, or large. What is the relative size of the blue circle centered on the dashed vertical line between the labels m' and r' on the right side of the image?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of the line through the circle’s center?"
},
{
"ground_truth_answer": "m'",
"label": "maintain",
"question": "What annotation appears above the circle on this line?"
},
{
"ground_truth_answer": "n'",
"label": "maintain",
"question": "What annotation appears below the circle on this line?"
},
{
"ground_truth_answer": "2 cm",
"label": "maintain",
"question": "What value is given for r inside the circle?"
},
{
"ground_truth_answer": "Rightward",
"label": "maintain",
"question": "In the blue circle on the right side of the image, the label \"r = 2 cm\" is placed along a short radius line. From the circle’s center, in which direction does this radius line point—toward the right, left, up, or down?"
},
{
"ground_truth_answer": "≈9",
"label": "editing",
"question": "What is the approximate y-level of the blue trapezoid’s top base?"
},
{
"ground_truth_answer": "Green",
"label": "maintain",
"question": "What color is the trapezoid right of the circle?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Do both trapezoids meet the circle?"
},
{
"ground_truth_answer": "(18,9)",
"label": "maintain",
"question": "What is the approximate coordinate of the trapezoids’ shared top point?"
}
] |
math
|
Increase the blue circle’s size so it appears larger while keeping the same center.
| |||
[
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which point is the apex of the triangle?"
},
{
"ground_truth_answer": "Above and to the right",
"label": "editing",
"question": "Where is A positioned?"
},
{
"ground_truth_answer": "AB and AC",
"label": "maintain",
"question": "In the diagram, which two solid line segments of triangle ABC meet at vertex A (the solid sides from A to the other vertices)?"
},
{
"ground_truth_answer": "C and A",
"label": "maintain",
"question": "Between which points does AC run?"
},
{
"ground_truth_answer": "Upward (rises from B to A).",
"label": "maintain",
"question": "In the diagram, consider the solid line segment AB. When moving along AB from point B (at the left end of the horizontal base BC) toward point A (the top vertex), does the segment go upward or downward on the page?"
},
{
"ground_truth_answer": "Upward (rising from C to A).",
"label": "maintain",
"question": "In the diagram, consider line segment AC connecting point C (at the right end of the horizontal base BC) to the apex A. When moving from C to A, does AC slope upward or downward?"
},
{
"ground_truth_answer": "AD",
"label": "editing",
"question": "What is the label of the interior segment from A to the base?"
},
{
"ground_truth_answer": "Dashed",
"label": "maintain",
"question": "What is the style of AD?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of all lines?"
},
{
"ground_truth_answer": "Down-left",
"label": "editing",
"question": "Toward which direction from A does AD run?"
},
{
"ground_truth_answer": "BC",
"label": "editing",
"question": "On which segment lies point D?"
},
{
"ground_truth_answer": "D",
"label": "editing",
"question": "Which point on BC is exactly midway between B and C?"
},
{
"ground_truth_answer": "AD",
"label": "editing",
"question": "Which segment connects the apex to the midpoint of the base?"
},
{
"ground_truth_answer": "Interior",
"label": "editing",
"question": "Is AD interior or exterior to the triangle?"
}
] |
math
|
Move the dashed vertical segment’s foot on the baseline leftward so it lands midway between B and C.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "What type of diagram is shown?"
},
{
"ground_truth_answer": "Right end",
"label": "maintain",
"question": "Where is the label l1 placed on the upper line?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the transversal?"
},
{
"ground_truth_answer": "Upper left to lower right",
"label": "editing",
"question": "In which diagonal direction does the transversal run?"
},
{
"ground_truth_answer": "Downward",
"label": "editing",
"question": "As it goes rightward, does the transversal lean upward or downward?"
},
{
"ground_truth_answer": "l1",
"label": "editing",
"question": "Which line does the transversal cross first?"
},
{
"ground_truth_answer": "l2",
"label": "editing",
"question": "Which line does the transversal cross second?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many intersections occur between the transversal and the parallel lines?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is numeral 1 printed near the angle arc at the top intersection?"
},
{
"ground_truth_answer": "Left side",
"label": "maintain",
"question": "At the bottom intersection, on which side of the transversal is the arc?"
},
{
"ground_truth_answer": "Left of the crossing",
"label": "maintain",
"question": "Where is numeral 2 placed relative to the crossing point?"
},
{
"ground_truth_answer": "Exterior",
"label": "maintain",
"question": "Are angles 1 and 2 exterior or interior to the pair of lines?"
},
{
"ground_truth_answer": "No",
"label": "maintain",
"question": "Do angles 1 and 2 lie on the same side of the transversal?"
},
{
"ground_truth_answer": "Right side",
"label": "maintain",
"question": "On which side of the transversal does angle 1 lie?"
},
{
"ground_truth_answer": "Left side",
"label": "maintain",
"question": "On which side of the transversal does angle 2 lie?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the transversal intersect both parallel lines?"
}
] |
math
|
Rotate the single slanted transversal clockwise so it leans downwards to the right while still crossing both parallel lines.
| |||
[
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "How many vertices does the square have?"
},
{
"ground_truth_answer": "v",
"label": "maintain",
"question": "What label is at the top-left vertex?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the line style of the perimeter edges?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the perimeter edges?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many diagonals are drawn?"
},
{
"ground_truth_answer": "w2",
"label": "maintain",
"question": "Which vertex is connected to v by a diagonal?"
},
{
"ground_truth_answer": "w3",
"label": "maintain",
"question": "Which vertex is connected to w1 by a diagonal?"
},
{
"ground_truth_answer": "Terminals.",
"label": "maintain",
"question": "In the diagram, short dashed line stubs extend outward from the circled vertices labeled v (top-left) and w2 (bottom-right). What do these dashed stubs denote?"
},
{
"ground_truth_answer": "Above and to the right of the vertex.",
"label": "editing",
"question": "Relative to the top-right circled vertex of the square, in which direction from that vertex is the text label \"w1\" placed?"
}
] |
math
|
Move the short dashed segment at the top-right vertex so it points to the left instead of to the right.
| |||
[
{
"ground_truth_answer": "Polygon",
"label": "maintain",
"question": "What is the geometric classification of the entire outer figure outlined by the outermost solid lines—the closed shape that is subdivided into the regions labeled A, B, and C?"
},
{
"ground_truth_answer": "Labeled regions",
"label": "maintain",
"question": "Into what is the polygon partitioned?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What orientation is the segment descending from P?"
},
{
"ground_truth_answer": "The central horizontal segment (the one dividing regions A and C).",
"label": "maintain",
"question": "Following the vertical line starting at point P and moving downward, which segment does it intersect first?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the vertical segment continue below the central horizontal segment?"
},
{
"ground_truth_answer": "Acute",
"label": "maintain",
"question": "At the bottom-right vertex next to the label B—where the slanted bottom edge meets the vertical segment—what type of interior angle is formed (acute, right, obtuse, or reflex)?"
},
{
"ground_truth_answer": "Slanted right edge",
"label": "maintain",
"question": "What does the horizontal segment meet at its right endpoint?"
},
{
"ground_truth_answer": "Top edge",
"label": "editing",
"question": "What does the rightward portion of the horizontal segment form for region C?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "Where is region A relative to the vertical segment?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Where is region A relative to the lower diagonal?"
},
{
"ground_truth_answer": "Triangle",
"label": "maintain",
"question": "In the diagram, look at the sub-region labeled 'B' at the lower-right corner, which is enclosed by the bottom horizontal edge, the right slanted outer edge, and the interior vertical segment descending from point P. What geometric shape is this region?"
},
{
"ground_truth_answer": "Quadrilateral",
"label": "editing",
"question": "What shape is region C?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Where is region C relative to the lower diagonal?"
},
{
"ground_truth_answer": "Large",
"label": "maintain",
"question": "Among the regions outlined by black lines, what is the size category (Small, Medium, or Large) of the leftmost polygon that contains the Greek letter α?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is label P?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is label A?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is label C?"
}
] |
math
|
Shorten the long horizontal line to the right so its endpoint moves left, reducing the length of region C.
| |||
[
{
"ground_truth_answer": "Mathematical Relationships",
"label": "maintain",
"question": "What is the title of this plot?"
},
{
"ground_truth_answer": "−6",
"label": "maintain",
"question": "What is the x-axis minimum value?"
},
{
"ground_truth_answer": "6",
"label": "maintain",
"question": "What is the x-axis maximum value?"
},
{
"ground_truth_answer": "y",
"label": "maintain",
"question": "What is the y-axis label?"
},
{
"ground_truth_answer": "Gray",
"label": "editing",
"question": "In the plot, what color are the dashed reference lines that pass through x = 0 (vertical) and y = 0 (horizontal)?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "At what x-value is a reference line drawn?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "At what y-value is a reference line drawn?"
},
{
"ground_truth_answer": "y = 2 sin(2x − π/3) + 1",
"label": "maintain",
"question": "What is the legend label for the main curve?"
},
{
"ground_truth_answer": "y = 1 + sin(2x) − √3 cos(2x)",
"label": "maintain",
"question": "What equation of a blue form is listed in the legend?"
},
{
"ground_truth_answer": "$",
"label": "maintain",
"question": "What character annotates each marked point on x = 0?"
},
{
"ground_truth_answer": "Black",
"label": "editing",
"question": "What color is the arrow on y = 1?"
},
{
"ground_truth_answer": "1",
"label": "editing",
"question": "On what y-value does the arrow lie?"
},
{
"ground_truth_answer": "Left",
"label": "editing",
"question": "In which direction does the arrow point?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "From what x-value does the arrow extend?"
}
] |
math
|
Rotate the existing black arrow from vertical to horizontal so it points left along y = 1 from the vertical axis to x = -1.
| |||
[
{
"ground_truth_answer": "Graph Representation of Points A, B, C, D, and M",
"label": "maintain",
"question": "What is the title of the diagram?"
},
{
"ground_truth_answer": "With small colored circular dots.",
"label": "maintain",
"question": "In the diagram titled \"Graph Representation of Points A, B, C, D, and M,\" how are the points A, B, C, D, and M visually marked at their locations?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color is point A?"
},
{
"ground_truth_answer": "Red",
"label": "maintain",
"question": "What color is point D?"
},
{
"ground_truth_answer": "Green",
"label": "maintain",
"question": "What color is point C?"
},
{
"ground_truth_answer": "Left vertex",
"label": "maintain",
"question": "Where is point B located on the diamond?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the diamond’s perimeter line segments?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there a black perimeter segment connecting C and D?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there a black perimeter segment connecting D and A?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "How many additional non-perimeter segments are drawn inside the diamond?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is segment A–C?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What orientation is segment A–C?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What orientation is segment B–D?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "From which point does the segment to M originate?"
},
{
"ground_truth_answer": "Leftward",
"label": "maintain",
"question": "In which direction does segment B–M extend from B?"
},
{
"ground_truth_answer": "Purple",
"label": "editing",
"question": "What color is point M?"
},
{
"ground_truth_answer": "B and D",
"label": "maintain",
"question": "With which points is M collinear?"
},
{
"ground_truth_answer": "B–D line",
"label": "maintain",
"question": "Along which line are M, B, and D collinear?"
},
{
"ground_truth_answer": "Uniform—all segments have the same thickness.",
"label": "maintain",
"question": "Do all the line segments in the diagram—including MB, BA, AD, DC, CB, and the two interior diagonals—have the same stroke width, or do any differ?"
}
] |
math
|
Remove the single line segment connecting M to A while leaving all other segments unchanged.
| |||
[
{
"ground_truth_answer": "Diagram of Points A, B, C, D, E, F.",
"label": "maintain",
"question": "What is the title of the diagram?"
},
{
"ground_truth_answer": "large",
"label": "maintain",
"question": "Relative to the other triangles in the figure, is triangle ABC (the outer triangle with vertices A, B, and C) large or small?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of base BC?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which point on BC is at the lower left?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which point on BC is at the lower right?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which side is the left side of triangle ABC?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which side is the right side of triangle ABC?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of segment DE?"
},
{
"ground_truth_answer": "interior",
"label": "editing",
"question": "Where is segment DE located relative to triangle ABC?"
},
{
"ground_truth_answer": "above",
"label": "maintain",
"question": "Where is DE relative to BC?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which point is the left endpoint of DE?"
},
{
"ground_truth_answer": "above",
"label": "editing",
"question": "Where is point F relative to DE?"
},
{
"ground_truth_answer": "inside",
"label": "maintain",
"question": "Where is point F relative to triangle ABC?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "At what point do segments BF and FC meet?"
},
{
"ground_truth_answer": "Upper interior, near vertex A.",
"label": "editing",
"question": "In triangle ABC, the “V” is the polyline formed by segments BF and FC meeting at point F. Relative to the base BC and apex A, is this V positioned in the upper interior near A or in the lower interior near BC?"
},
{
"ground_truth_answer": "DE",
"label": "maintain",
"question": "Which segment does BF intersect?"
},
{
"ground_truth_answer": "between D and E",
"label": "editing",
"question": "Where along DE does FC cross?"
},
{
"ground_truth_answer": "No",
"label": "maintain",
"question": "Does FC meet DE at E?"
},
{
"ground_truth_answer": "filled black dots",
"label": "maintain",
"question": "How are points depicted?"
},
{
"ground_truth_answer": "dots",
"label": "maintain",
"question": "What is the shape of the point markers?"
},
{
"ground_truth_answer": "A, B, C, D, E, F",
"label": "maintain",
"question": "Which points are shown in the diagram?"
}
] |
math
|
Raise point F vertically so it lies above the horizontal segment DE, creating a visible “V” shape where lines BF and FC meet higher inside the triangle.
| |||
[
{
"ground_truth_answer": "Plot of y = x^2",
"label": "maintain",
"question": "What is the plot title?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "What is the x-coordinate of the parabola's vertex?"
},
{
"ground_truth_answer": "y-axis",
"label": "maintain",
"question": "About which axis is the parabola symmetric?"
},
{
"ground_truth_answer": "faint",
"label": "maintain",
"question": "How prominent are the vertical gridlines?"
},
{
"ground_truth_answer": "at x-ticks",
"label": "maintain",
"question": "Where do the vertical gridlines appear?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "What y-value is marked by a horizontal line?"
},
{
"ground_truth_answer": "dashed",
"label": "editing",
"question": "What is the style of the horizontal line at y = 0?"
},
{
"ground_truth_answer": "semi-transparent",
"label": "maintain",
"question": "In the plot of y = x^2, what is the transparency of the light blue shaded region beneath the curve between the dashed vertical lines at x = −1 and x = 1 (choose: opaque, semi-transparent, or fully transparent)?"
},
{
"ground_truth_answer": "y = x^2",
"label": "editing",
"question": "What bounds the highlighted region above?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is the highlighted band symmetric?"
},
{
"ground_truth_answer": "upper-right",
"label": "editing",
"question": "Where is the legend located?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What color is the legend's box?"
},
{
"ground_truth_answer": "y = x^2",
"label": "maintain",
"question": "What label does the legend give the blue curve?"
}
] |
math
|
Narrow the shaded vertical band so it spans only from x = −1 to x = 1.
| |||
[
{
"ground_truth_answer": "Straight",
"label": "maintain",
"question": "Is BC straight or curved?"
},
{
"ground_truth_answer": "Equal",
"label": "maintain",
"question": "What is the relative thickness of sides AB and AC?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "At which point do sides AB and AC meet?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which vertex is at the top of the triangle?"
},
{
"ground_truth_answer": "Centered above BC",
"label": "editing",
"question": "How is vertex A positioned horizontally relative to base BC?"
},
{
"ground_truth_answer": "The perpendicular bisector of BC—the vertical line through the midpoint of BC (passing through A).",
"label": "editing",
"question": "In the shown triangle ABC with base BC drawn horizontally, across which line does reflecting the figure map side AB exactly onto side AC? Describe the line geometrically."
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are all strokes the same thickness?"
}
] |
math
|
Move the top vertex A horizontally to the right so the triangle’s apex is centered above the base.
| |||
[
{
"ground_truth_answer": "Tall",
"label": "maintain",
"question": "What is the height characteristic of the bracket?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many case expressions are there?"
},
{
"ground_truth_answer": "-(1/3)x + 1/6",
"label": "maintain",
"question": "What is the expression on the upper-right line?"
},
{
"ground_truth_answer": ")",
"label": "editing",
"question": "What symbol marks the right endpoint at 1/2 for the upper-right line?"
},
{
"ground_truth_answer": "Open",
"label": "editing",
"question": "Is the upper-right line's domain open or closed on the right?"
},
{
"ground_truth_answer": "(2x^3)/(x + 1)",
"label": "maintain",
"question": "What is the expression on the lower-right line?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Modify the top formula so its right bracket around 1/2 is curved outward as a parenthesis instead of a square bracket.
| |||
[
{
"ground_truth_answer": "-2",
"label": "maintain",
"question": "What number is labeled on the negative y-axis?"
},
{
"ground_truth_answer": "Straight",
"label": "maintain",
"question": "What is the shape of the line?"
},
{
"ground_truth_answer": "Negative",
"label": "editing",
"question": "What is the slope sign of the line?"
},
{
"ground_truth_answer": "Upper-left to lower-right",
"label": "editing",
"question": "From which direction to which does the line run?"
},
{
"ground_truth_answer": "Above",
"label": "editing",
"question": "Where does the line cross the y-axis relative to the origin?"
},
{
"ground_truth_answer": "Positive",
"label": "editing",
"question": "What is the sign of the y-intercept?"
},
{
"ground_truth_answer": "Yes",
"label": "editing",
"question": "Does any part of the line lie in Quadrant II?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does any part of the line lie in Quadrant IV?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the line pass through both axes?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Rotate the single slanted line so it slopes downward from left to right, crossing the x-axis near the left side and the y-axis above the origin.
| |||
[
{
"ground_truth_answer": "P",
"label": "maintain",
"question": "Which point does the horizontal line pass through?"
},
{
"ground_truth_answer": "Rightward",
"label": "maintain",
"question": "In which direction does the base extend from P?"
},
{
"ground_truth_answer": "β",
"label": "maintain",
"question": "Which label marks the right vertex of the base?"
},
{
"ground_truth_answer": "Dashed",
"label": "editing",
"question": "Is the altitude dashed or solid?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "To which point does the altitude rise?"
},
{
"ground_truth_answer": "E and β",
"label": "maintain",
"question": "Between which points is the oblique side drawn?"
},
{
"ground_truth_answer": "Oblique",
"label": "maintain",
"question": "What is the orientation of side Eβ?"
},
{
"ground_truth_answer": "P",
"label": "maintain",
"question": "At which vertex is the right angle of triangle P–E–β?"
},
{
"ground_truth_answer": "Vertical altitude",
"label": "maintain",
"question": "What is perpendicular to the horizontal base at P?"
},
{
"ground_truth_answer": "Up-left",
"label": "maintain",
"question": "Which direction does the α-labeled slanted ray from P go?"
},
{
"ground_truth_answer": "E",
"label": "editing",
"question": "What label is at the apex?"
},
{
"ground_truth_answer": "γ",
"label": "maintain",
"question": "What symbol is written just above the apex E?"
},
{
"ground_truth_answer": "γ",
"label": "maintain",
"question": "Which symbol appears near the base close to P?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are all elements?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Make the vertical altitude segment from the base to the apex dashed instead of solid.
| |||
[
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "What is the center of the circle labeled?"
},
{
"ground_truth_answer": "DO",
"label": "maintain",
"question": "What segment is a vertical radius from D to O?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of DO?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "From which point on the circumference does DO extend?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "Along DO, which point is lower?"
},
{
"ground_truth_answer": "AD and DB",
"label": "maintain",
"question": "In the diagram, focusing on triangle ADB with top vertex D, which two sides of this triangle meet at vertex D (i.e., the sides from D to A and from D to B)?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "What is the base of triangle ADB?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are segments AD and DB?"
},
{
"ground_truth_answer": "DB",
"label": "editing",
"question": "On which segment does point C lie?"
},
{
"ground_truth_answer": "Between D and B",
"label": "editing",
"question": "Where is C located along DB?"
},
{
"ground_truth_answer": "Right of DO",
"label": "editing",
"question": "Where is C relative to line DO?"
},
{
"ground_truth_answer": "B",
"label": "editing",
"question": "Compared to D and B, which is C closer to?"
},
{
"ground_truth_answer": "DB",
"label": "maintain",
"question": "CB is a subsegment of which segment?"
},
{
"ground_truth_answer": "Inscribed",
"label": "maintain",
"question": "What is the relation of triangle ADB to the circle?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the labels A, B, C, D, O?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Move point C from the left interior to the symmetric right interior position while keeping its connections to A and B.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "What type of diagram is shown?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many horizontal directed segments are shown?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of segment CD?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which point labels the left end of the upper segment?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which point labels the left end of the lower segment?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "At which point on segment CD is a right-pointing arrow drawn?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "What direction do the arrows at B and D point?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "Along EF, which endpoint is lower?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "Along EF, which endpoint is higher?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Where is E relative to the upper horizontal segment AB?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "With which segment does the upper intersection occur?"
},
{
"ground_truth_answer": "Gray",
"label": "editing",
"question": "At the upper intersection, what is the color of the angle arc?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "At the upper intersection, where is the angle arc relative to AB?"
},
{
"ground_truth_answer": "Upward",
"label": "maintain",
"question": "At the upper intersection, what is the arc’s convex orientation?"
},
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "Which numeral appears near the upper intersection?"
},
{
"ground_truth_answer": "Below AB.",
"label": "maintain",
"question": "On the top horizontal line labeled AB, at its intersection with the slanted line EF, is the numeral '1' positioned above AB or below AB?"
},
{
"ground_truth_answer": "Gray",
"label": "editing",
"question": "At the lower intersection, what is the color of the arc?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Relative to CD, where is numeral 2 placed?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Relative to CD, where is numeral 3 placed?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "Which label marks the upper end of the slanted line EF?"
},
{
"ground_truth_answer": "EF",
"label": "maintain",
"question": "Which line is referred to as the transversal?"
},
{
"ground_truth_answer": "F to E",
"label": "maintain",
"question": "From which point to which does EF rise?"
}
] |
math
|
Make the upper intersection’s small gray arc bulge upward instead of downward.
| |||
[
{
"ground_truth_answer": "A, B, C, D",
"label": "maintain",
"question": "What are the vertex labels?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Lower-right",
"label": "maintain",
"question": "Where is vertex B located?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "Which side is the steepest?"
},
{
"ground_truth_answer": "CD",
"label": "maintain",
"question": "Which side forms the top segment?"
},
{
"ground_truth_answer": "Down-left",
"label": "editing",
"question": "Along segment CD, when moving from point C to point D, in which direction does the line go: up-right, up-left, down-right, or down-left?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "From which vertex does CD start?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "To which vertex does CD go?"
},
{
"ground_truth_answer": "Downward to the left.",
"label": "maintain",
"question": "In the diagram, considering the segment from point D to point A (DA), in which direction does it slant?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "From which vertex does DA descend?"
},
{
"ground_truth_answer": "Upper-right",
"label": "editing",
"question": "Where is vertex C located?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "Where is vertex D relative to C?"
},
{
"ground_truth_answer": "C",
"label": "editing",
"question": "Which vertex sits highest?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Relative to B, where is C?"
},
{
"ground_truth_answer": "To the right of D.",
"label": "maintain",
"question": "Considering only their horizontal positions in the diagram, is point C to the left of, aligned with, or to the right of point D?"
},
{
"ground_truth_answer": "Notably steeper",
"label": "maintain",
"question": "Compared to the other sides, how steep is BC?"
}
] |
math
|
Move vertex C upward to make the right slanted edge steeper, keeping A, B, and D unchanged.
| |||
[
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color is point A?"
},
{
"ground_truth_answer": "Red",
"label": "maintain",
"question": "What color is point D?"
},
{
"ground_truth_answer": "Orange",
"label": "maintain",
"question": "What color is point B?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is label E?"
},
{
"ground_truth_answer": "AD",
"label": "maintain",
"question": "Which segment forms the base?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of segment DC?"
},
{
"ground_truth_answer": "Slanted",
"label": "maintain",
"question": "What is the orientation of segment AB?"
},
{
"ground_truth_answer": "Solid black",
"label": "maintain",
"question": "What style and color is segment AB?"
},
{
"ground_truth_answer": "Solid black",
"label": "maintain",
"question": "What style and color is segment BD?"
},
{
"ground_truth_answer": "B and C",
"label": "maintain",
"question": "Which points does segment BC connect?"
},
{
"ground_truth_answer": "B and E",
"label": "editing",
"question": "Which points are connected by the dashed segment?"
},
{
"ground_truth_answer": "Dashed",
"label": "editing",
"question": "What style is segment BE?"
},
{
"ground_truth_answer": "Short",
"label": "maintain",
"question": "Which word describes the length of the dashed vertical segment BE (from point B straight down to point E on segment AD): short or long?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "To which point does the dashed segment drop?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "In the diagram, which labeled point is exactly halfway along the bottom horizontal segment from A (left blue point) to D (right red point), i.e., the midpoint of segment AD?"
}
] |
math
|
Move the dashed line so it runs from point B to the midpoint of segment AC.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "Which type of diagram is shown—a geometric diagram, a bar chart, or a flowchart? The image contains a circle with labeled points A, B, C, and O connected by line segments."
},
{
"ground_truth_answer": "Interior",
"label": "maintain",
"question": "Where is point O located relative to the circle?"
},
{
"ground_truth_answer": "Orange",
"label": "editing",
"question": "What color are the labels?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are all curves and segments?"
},
{
"ground_truth_answer": "The major arc BC.",
"label": "maintain",
"question": "Between points B and C on the circle, there are two arcs: the minor arc BC (the shorter arc along the lower part of the circle) and the major arc BC (the longer arc passing around the upper-left side). On which of these two arcs is point A located?"
},
{
"ground_truth_answer": "Near bottom",
"label": "maintain",
"question": "Where vertically is point B located?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the triangle's chords?"
},
{
"ground_truth_answer": "Downward",
"label": "maintain",
"question": "From A to B, how does chord AB slope?"
},
{
"ground_truth_answer": "A and C",
"label": "maintain",
"question": "Which points does chord AC connect?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is radius OC?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "At point C on the lower-right of the circle, two chords meet. Which chord is the one that runs from C to the left-side point labeled A (the upper of the two chords from C)?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does radius OC point directly to C?"
}
] |
math
|
Move vertex C clockwise along the circle to a new position on the lower-right arc, updating the triangle side AC and radii OC and OB–C connections accordingly.
| |||
[
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "At the intersection of the long horizontal line and the short vertical segment inside the circle, marked by the right-angle square.",
"label": "maintain",
"question": "In the diagram, at what exact point is the circle’s center located—identify it using the drawn lines and symbols."
},
{
"ground_truth_answer": "On both the left and right sides.",
"label": "maintain",
"question": "For the black horizontal line that crosses the circle, does it extend past the circle’s boundary on the left, on the right, or on both sides?"
},
{
"ground_truth_answer": "One",
"label": "maintain",
"question": "How many oblique lines are present?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the oblique line?"
},
{
"ground_truth_answer": "Horizontal",
"label": "editing",
"question": "The oblique line’s slope is closer to what than to 45°?"
},
{
"ground_truth_answer": "Lower-right",
"label": "maintain",
"question": "The black slanted line that cuts through the central circle exits the circle on which side: upper-left, upper-right, lower-left, or lower-right?"
},
{
"ground_truth_answer": "Two",
"label": "maintain",
"question": "How many times does the oblique line intersect the circle?"
},
{
"ground_truth_answer": "Four",
"label": "maintain",
"question": "How many numerals are shown?"
},
{
"ground_truth_answer": "Orange",
"label": "maintain",
"question": "What color are the numerals?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "Which numeral is on the upper-left portion of the oblique line?"
},
{
"ground_truth_answer": "Outside",
"label": "maintain",
"question": "Relative to the circle, where is numeral 4?"
}
] |
math
|
Rotate the single diagonal line slightly clockwise so it is closer to horizontal while still passing through the circle’s center.
| |||
[
{
"ground_truth_answer": "y = 0",
"label": "maintain",
"question": "What equation describes the horizontal axis?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the y-axis show a tick labeled −1?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the y-axis show a tick labeled 0?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the y-axis show a tick labeled 3?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the y-axis show a tick labeled 4?"
},
{
"ground_truth_answer": "Light gray",
"label": "maintain",
"question": "What color is the triangle?"
},
{
"ground_truth_answer": "Semi-transparent",
"label": "maintain",
"question": "What opacity property does the triangle have?"
},
{
"ground_truth_answer": "On the x-axis",
"label": "maintain",
"question": "Where is the triangle's base located?"
},
{
"ground_truth_answer": "(2, 0)",
"label": "maintain",
"question": "What are the coordinates of the right base endpoint?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "What is the x-coordinate of the triangle's apex?"
},
{
"ground_truth_answer": "2.8",
"label": "editing",
"question": "What is the approximate y-coordinate of the triangle's apex?"
},
{
"ground_truth_answer": "(−2, 0) to (0, ≈2.8)",
"label": "editing",
"question": "What points does the triangle side from the left base endpoint connect?"
},
{
"ground_truth_answer": "(0, ≈2.8) to (2, 0)",
"label": "editing",
"question": "What points does the triangle side from the apex to the right base endpoint connect?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the diagonal line segments?"
},
{
"ground_truth_answer": "X-shapes",
"label": "editing",
"question": "What shape do these line segments form at their centers?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there an X-shape centered at (−2, 0)?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there an X-shape centered at (0, −2)?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the X-shape at (2, 0) coincide with a triangle base endpoint?"
},
{
"ground_truth_answer": "x",
"label": "maintain",
"question": "What letter labels the horizontal axis?"
},
{
"ground_truth_answer": "Bottom",
"label": "maintain",
"question": "Along which edge does the x-axis label appear?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "Along which edge does the y-axis label appear?"
}
] |
math
|
Move the triangle’s top vertex straight upward to make the triangle taller while keeping its base endpoints fixed.
| |||
[
{
"ground_truth_answer": "ABC",
"label": "maintain",
"question": "What is the triangle labeled?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which endpoint of BC is on the right?"
},
{
"ground_truth_answer": "oblique",
"label": "maintain",
"question": "What is AB's orientation?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is DE's orientation?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "DE is parallel to which side?"
},
{
"ground_truth_answer": "D and E",
"label": "maintain",
"question": "Which points does DE connect?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "On which side does D lie?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "On which side does E lie?"
},
{
"ground_truth_answer": "C",
"label": "editing",
"question": "E is close to which vertex?"
},
{
"ground_truth_answer": "yes",
"label": "editing",
"question": "Does DE span a long horizontal distance across the triangle?"
},
{
"ground_truth_answer": "same",
"label": "maintain",
"question": "What is E's vertical level relative to D?"
},
{
"ground_truth_answer": "gray",
"label": "maintain",
"question": "What is the color of the dashed line?"
},
{
"ground_truth_answer": "D-A-E",
"label": "editing",
"question": "Which path does the dashed line trace?"
},
{
"ground_truth_answer": "yes",
"label": "editing",
"question": "Does the dashed line follow the triangle sides?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Is label C present?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Is label D present?"
}
] |
math
|
Move point E horizontally to the right along the base level, lengthening the inner horizontal segment DE.
| |||
[
{
"ground_truth_answer": "Red",
"label": "maintain",
"question": "What color is the right dashed circle?"
},
{
"ground_truth_answer": "Dashed",
"label": "maintain",
"question": "What is the stroke style of the vertical construction line that lies between the blue dashed circle on the left and the red dashed circle on the right, specifically the portion above the point labeled K?"
},
{
"ground_truth_answer": "Blue circle",
"label": "maintain",
"question": "Which circle touches the vertical dashed line from the opposite side of the red circle?"
},
{
"ground_truth_answer": "P",
"label": "maintain",
"question": "From which point does the horizontal segment to the tangent point originate?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the segment from P to the tangent point?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many additional segments from P connect to points on the vertical line?"
},
{
"ground_truth_answer": "The central vertical dashed line.",
"label": "maintain",
"question": "Which line contains both black square markers (the top and bottom points) positioned between the two dashed circles?"
},
{
"ground_truth_answer": "Small right-angle square",
"label": "maintain",
"question": "What marking appears at the lower point on the vertical line?"
},
{
"ground_truth_answer": "Arrow",
"label": "maintain",
"question": "What symbol appears on the vertical dashed line to indicate direction?"
},
{
"ground_truth_answer": "Expands outward",
"label": "editing",
"question": "What change is depicted for the red circle?"
},
{
"ground_truth_answer": "Entirely left",
"label": "maintain",
"question": "Where is the blue circle located relative to the vertical tangent?"
}
] |
math
|
Enlarge only the right (red, dashed) circle so it expands outward while keeping its center P fixed.
| |||
[
{
"ground_truth_answer": "monochrome",
"label": "maintain",
"question": "What is the diagram style regarding color?"
},
{
"ground_truth_answer": "Upward",
"label": "editing",
"question": "Consider the longest single straight line segment in the image—the diagonal segment located in the upper-right quadrant. From its left endpoint to its right endpoint, does it slope upward or downward?"
},
{
"ground_truth_answer": "upper-right quadrant",
"label": "editing",
"question": "Into which quadrant does the longest straight segment extend?"
},
{
"ground_truth_answer": "x-axis",
"label": "editing",
"question": "Which axis does the upper-left diagonal segment meet?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "How many segments does the lower-right polyline have?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Make the longer diagonal line tilt upward from left to right instead of downward.
| |||
[
{
"ground_truth_answer": "Geometric line diagram",
"label": "maintain",
"question": "Classify the diagram type: The image shows labeled points A, B, C, and D connected only by straight line segments forming triangular shapes. What kind of diagram is this?"
},
{
"ground_truth_answer": "Triangle ABC",
"label": "maintain",
"question": "What figure is depicted?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "Which side is the base of the triangle?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of base BC?"
},
{
"ground_truth_answer": "Bottom",
"label": "maintain",
"question": "Where is base BC positioned?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which endpoint of BC is on the left?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which endpoint of BC is on the right?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which point is the apex of the triangle?"
},
{
"ground_truth_answer": "Down-left",
"label": "maintain",
"question": "How does side AB slope from A?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "On which side does point D lie?"
},
{
"ground_truth_answer": "Upper half near A.",
"label": "editing",
"question": "Along the line segment AC (from A at the top to C at the bottom), in which half is point D located: the upper half near A or the lower half near C?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "To which vertex is D closer on AC?"
},
{
"ground_truth_answer": "BD",
"label": "maintain",
"question": "Which segment connects B to D?"
},
{
"ground_truth_answer": "Up and right",
"label": "maintain",
"question": "In what direction does BD run from B?"
},
{
"ground_truth_answer": "Interior",
"label": "maintain",
"question": "Through what region of the triangle does BD pass?"
},
{
"ground_truth_answer": "At an unlabeled interior point on AC (between A and C).",
"label": "editing",
"question": "In the diagram, segment BD intersects side AC. At which point on AC does this intersection occur: at A, at C, at D, or at an unlabeled interior point of AC?"
},
{
"ground_truth_answer": "CD",
"label": "maintain",
"question": "Which segment runs along the right edge from C to D?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "In the figure, consider the segment labeled CD that starts at point C (the bottom-right vertex). To which labeled point does this segment connect?"
},
{
"ground_truth_answer": "Upward",
"label": "maintain",
"question": "From point C, in which vertical direction does segment CD extend: upward or downward?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Shift the labeled point D higher along the right side of the triangle so the segments from B and C to D become longer.
| |||
[
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which vertex is at the left base?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which vertex is at the top apex?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of base AB?"
},
{
"ground_truth_answer": "Bottom",
"label": "maintain",
"question": "Where is base AB located in the figure?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is segment AB?"
},
{
"ground_truth_answer": "Segment",
"label": "maintain",
"question": "What type of geometric object is AB?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is segment AC?"
},
{
"ground_truth_answer": "Segment",
"label": "maintain",
"question": "What type of geometric object is BC?"
},
{
"ground_truth_answer": "Slanted",
"label": "maintain",
"question": "What is the orientation of BC?"
},
{
"ground_truth_answer": "Segment",
"label": "maintain",
"question": "What type of geometric object is CD?"
},
{
"ground_truth_answer": "Solid",
"label": "editing",
"question": "In the triangle diagram, what is the line style (solid or dashed) of the vertical segment CD from vertex C to point D on base AB?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is segment CD?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "From which point does CD drop?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "To which segment does CD drop?"
},
{
"ground_truth_answer": "Triangle ABC",
"label": "maintain",
"question": "What polygon is partitioned by CD?"
},
{
"ground_truth_answer": "Two",
"label": "maintain",
"question": "Into how many triangles does CD partition triangle ABC?"
},
{
"ground_truth_answer": "They are adjacent; they share side CD.",
"label": "maintain",
"question": "In the diagram, segment CD is drawn from vertex C to point D on base AB, creating triangles ACD and BCD. What is the positional relationship of these two triangles with respect to CD?"
},
{
"ground_truth_answer": "BCD",
"label": "maintain",
"question": "Which triangle formed by CD includes vertex B?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Make the altitude from C to D a solid line instead of dashed.
| |||
[
{
"ground_truth_answer": "Square",
"label": "maintain",
"question": "What is the frame shape?"
},
{
"ground_truth_answer": "7",
"label": "maintain",
"question": "How many nodes appear?"
},
{
"ground_truth_answer": "Straight",
"label": "maintain",
"question": "What type of edges connect nodes?"
},
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "Which node sits near the center?"
},
{
"ground_truth_answer": "Junction",
"label": "editing",
"question": "What is node 3's role?"
},
{
"ground_truth_answer": "3–2–1",
"label": "maintain",
"question": "What is the vertical branch sequence from the junction?"
},
{
"ground_truth_answer": "Left-descending",
"label": "maintain",
"question": "Which direction does the 3–5–4 branch go?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "Which node is the leftmost leaf?"
},
{
"ground_truth_answer": "3-6-7",
"label": "maintain",
"question": "Starting at the central junction circle labeled 3, follow the branch that slopes down-right; list the labels of the circled nodes you encounter in order along this branch, including the circled endpoint at the bottom-right corner of the square border."
},
{
"ground_truth_answer": "Right-descending",
"label": "maintain",
"question": "Which direction does the 3–6–7 branch go?"
},
{
"ground_truth_answer": "Down-right",
"label": "maintain",
"question": "Where is node 6 relative to node 3?"
},
{
"ground_truth_answer": "Further down-right",
"label": "maintain",
"question": "Where is node 7 relative to node 6?"
},
{
"ground_truth_answer": "Well below and to the right",
"label": "maintain",
"question": "How is node 7 positioned relative to node 6?"
},
{
"ground_truth_answer": "No",
"label": "editing",
"question": "Is node 7 inside the frame?"
},
{
"ground_truth_answer": "1–6",
"label": "editing",
"question": "Which nodes are inside the frame?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Move the circle labeled 7 further down and to the right along its branch so the edge from 6 to 7 becomes longer.
| |||
[
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Lower left",
"label": "maintain",
"question": "Where is point A located?"
},
{
"ground_truth_answer": "Lower right",
"label": "maintain",
"question": "Where is point B located?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which side forms the base?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of AB?"
},
{
"ground_truth_answer": "A and D",
"label": "maintain",
"question": "Which vertices does AD connect?"
},
{
"ground_truth_answer": "Upper right",
"label": "maintain",
"question": "Where is point C located?"
},
{
"ground_truth_answer": "C",
"label": "editing",
"question": "Which vertex is the highest point?"
},
{
"ground_truth_answer": "DC",
"label": "maintain",
"question": "What is the top side of the quadrilateral?"
},
{
"ground_truth_answer": "Upward to the right",
"label": "editing",
"question": "In which direction does DC tilt?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "On DC, which endpoint is slightly higher?"
},
{
"ground_truth_answer": "Small positive",
"label": "editing",
"question": "What is DC's slope relative to AB?"
},
{
"ground_truth_answer": "Directly beside their respective vertices.",
"label": "maintain",
"question": "In the quadrilateral shown, where are the labels A, B, C, and D positioned relative to the shape: directly beside the corner points (vertices) or elsewhere (e.g., along edges or inside)?"
}
] |
math
|
Move the vertex labeled C slightly upward to make the top edge tilt upward to the right.
| |||
[
{
"ground_truth_answer": "Plot from TiKZ Code",
"label": "maintain",
"question": "What is the title of this plot?"
},
{
"ground_truth_answer": "−4 to 6",
"label": "maintain",
"question": "Approximately what range do y-axis gridlines cover?"
},
{
"ground_truth_answer": "faint gray dashed",
"label": "maintain",
"question": "What style describes the line coinciding with x=0?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which point marks the start of the first segment?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Toward which point does the first segment go?"
},
{
"ground_truth_answer": "(−1, 4)",
"label": "maintain",
"question": "Approximately where is the peak located?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Toward which point does the third segment go?"
},
{
"ground_truth_answer": "down-right",
"label": "maintain",
"question": "What is the general direction from the peak to C?"
},
{
"ground_truth_answer": "(3, 3)",
"label": "editing",
"question": "Approximately where is C located?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "From which point does the fourth segment start?"
},
{
"ground_truth_answer": "down-left",
"label": "maintain",
"question": "What is the general direction from C to the origin?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which label is near (−3, 2)?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which label is beside (−2, 2)?"
},
{
"ground_truth_answer": "just below",
"label": "maintain",
"question": "Where is label D positioned relative to (−3, 0)?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which vertex is the rightmost?"
},
{
"ground_truth_answer": "3",
"label": "editing",
"question": "Approximately what x-value does C have?"
},
{
"ground_truth_answer": "right",
"label": "maintain",
"question": "On which side of the y-axis is C located?"
},
{
"ground_truth_answer": "upper-right",
"label": "maintain",
"question": "Where is the legend located?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are the legend's line samples?"
},
{
"ground_truth_answer": "l1",
"label": "editing",
"question": "What is the label of the bottom legend sample?"
}
] |
math
|
Move point C horizontally to the right so that the final vertex of the blue polyline shifts rightward without changing its vertical position.
| |||
[
{
"ground_truth_answer": "Cartesian line plot",
"label": "maintain",
"question": "What type of plot is shown?"
},
{
"ground_truth_answer": "−2 to 3",
"label": "maintain",
"question": "What is the x-axis tick label range?"
},
{
"ground_truth_answer": "x",
"label": "maintain",
"question": "What is the x-axis label?"
},
{
"ground_truth_answer": "y",
"label": "maintain",
"question": "What is the y-axis label?"
},
{
"ground_truth_answer": "top",
"label": "maintain",
"question": "Where is the y-axis label positioned?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What is the color of the curve?"
},
{
"ground_truth_answer": "smooth",
"label": "maintain",
"question": "Is the curve smooth or jagged?"
},
{
"ground_truth_answer": "small open circle",
"label": "maintain",
"question": "What symbol marks the origin?"
},
{
"ground_truth_answer": "o",
"label": "maintain",
"question": "What label accompanies the origin's marker?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "At what x-value is the origin marker located?"
},
{
"ground_truth_answer": "triangle",
"label": "maintain",
"question": "What shape is the region below the x-axis?"
},
{
"ground_truth_answer": "below",
"label": "maintain",
"question": "Where is the triangular region located relative to the x-axis?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color is the triangle's border?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Does the triangular region have hatching?"
},
{
"ground_truth_answer": "diagonal",
"label": "maintain",
"question": "What type of hatching does the triangle have?"
},
{
"ground_truth_answer": "lower-left to upper-right",
"label": "maintain",
"question": "In which direction do the hatching lines slant?"
},
{
"ground_truth_answer": "vertical",
"label": "maintain",
"question": "What is the orientation of the triangle's right edge?"
},
{
"ground_truth_answer": "0 to about −1.5",
"label": "maintain",
"question": "Between which y-values does the right edge extend?"
},
{
"ground_truth_answer": "straight",
"label": "editing",
"question": "Is the triangle's left edge straight or curved?"
},
{
"ground_truth_answer": "origin",
"label": "maintain",
"question": "From which point does the left edge start?"
},
{
"ground_truth_answer": "between x = 0 and x = 1",
"label": "maintain",
"question": "To which segment of the curve is the hatched triangle adjacent?"
}
] |
math
|
Fill the hatched triangular region under the x-axis with a light gray interior while keeping the hatch and border.
| |||
[
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color is the diagram drawn in?"
},
{
"ground_truth_answer": "Lower left",
"label": "maintain",
"question": "Where is vertex A located?"
},
{
"ground_truth_answer": "Acute (sharp)",
"label": "maintain",
"question": "At the bottom-left corner labeled 'A', classify the interior angle where the two blue edges meet: acute (sharp), right, obtuse, or reflex."
},
{
"ground_truth_answer": "Upward-right",
"label": "editing",
"question": "In what direction do the segments from A extend?"
},
{
"ground_truth_answer": "D",
"label": "editing",
"question": "To which point does the outer boundary from A lead?"
},
{
"ground_truth_answer": "Slightly to the right of center.",
"label": "maintain",
"question": "Relative to the center of the image canvas (the midpoint of the frame), where is the point labeled 'B' located horizontally?"
},
{
"ground_truth_answer": "Upper-left corner",
"label": "maintain",
"question": "Among the four corners of the image (upper-left, upper-right, lower-left, lower-right), which corner is closest to any label 'D' shown in the diagram?"
},
{
"ground_truth_answer": "Down-right",
"label": "maintain",
"question": "In what direction does the segment from D to the elbow run?"
},
{
"ground_truth_answer": "Down-right",
"label": "maintain",
"question": "In what direction does the edge from the elbow to the rightmost tip run?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "What label appears near both right edges converging at the rightmost tip?"
},
{
"ground_truth_answer": "Inside",
"label": "maintain",
"question": "Where is the inner wedge positioned relative to the outer one?"
},
{
"ground_truth_answer": "Right-leaning slanted",
"label": "editing",
"question": "What is the orientation of the left side from A to D?"
},
{
"ground_truth_answer": "On the long left boundary segment A–D.",
"label": "maintain",
"question": "In the figure, the letter label 'A' is printed on one of the outer boundary segments. On which outer boundary segment (identified by its endpoints) is the label 'A' placed?"
},
{
"ground_truth_answer": "The short upper edge connecting the upper-left vertex to the small top junction where multiple lines meet.",
"label": "editing",
"question": "In the diagram, considering the two instances of the letter 'D', which edge is marked by the leftmost 'D'?"
},
{
"ground_truth_answer": "The short slanted edge connecting the upper-left vertex to that top junction.",
"label": "maintain",
"question": "In the top region of the figure, two short slanted edges are labeled D. Besides the short slanted edge on the upper-right next to the small top junction, which other edge is labeled D?"
}
] |
math
|
Rotate the point D clockwise so it is no longer vertically above A, shifting the left vertical edge into a slanted edge.
| |||
[
{
"ground_truth_answer": "geometric diagram",
"label": "editing",
"question": "What type of diagram is shown?"
},
{
"ground_truth_answer": "A, B, C",
"label": "maintain",
"question": "What are the vertex letters of the triangle?"
},
{
"ground_truth_answer": "blue",
"label": "maintain",
"question": "What color is the triangle?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which side serves as the base?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of base AC?"
},
{
"ground_truth_answer": "A to C",
"label": "maintain",
"question": "From which point to which point does side AC run?"
},
{
"ground_truth_answer": "lower left",
"label": "maintain",
"question": "Where is point A located?"
},
{
"ground_truth_answer": "lower right",
"label": "editing",
"question": "Where is point C located?"
},
{
"ground_truth_answer": "CB",
"label": "maintain",
"question": "Which side is a vertical leg?"
},
{
"ground_truth_answer": "upper right",
"label": "maintain",
"question": "Relative to the entire image frame, which corner region contains the labeled point B? Choose one: upper left, upper right, lower left, or lower right."
},
{
"ground_truth_answer": "on the sides",
"label": "maintain",
"question": "Where are the highlighted points located relative to the triangle?"
},
{
"ground_truth_answer": "square",
"label": "maintain",
"question": "What shape are the markers around the dots?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which side contains point D?"
},
{
"ground_truth_answer": "left",
"label": "editing",
"question": "Where is label E placed relative to its dot?"
},
{
"ground_truth_answer": "A: outside, just left of A; B: outside, just right of B; C: outside, just right of C.",
"label": "maintain",
"question": "In the triangle ABC shown, where is each vertex label positioned relative to its vertex—specify inside/outside the triangle and the side (left/right) for A, B, and C."
}
] |
math
|
Move the labeled red point E (and its red square) from the slanted side to the vertical side at the midpoint between B and C.
| |||
[
{
"ground_truth_answer": "Geometric Configuration",
"label": "maintain",
"question": "According to the centered title text above the drawing, what type of diagram is this?"
},
{
"ground_truth_answer": "Geometric Configuration",
"label": "maintain",
"question": "What is the title of the diagram?"
},
{
"ground_truth_answer": "Left",
"label": "editing",
"question": "Where is the square-like region located?"
},
{
"ground_truth_answer": "Top-right",
"label": "maintain",
"question": "Where is vertex C located?"
},
{
"ground_truth_answer": "DC",
"label": "maintain",
"question": "Which edge is top horizontal?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the line style of edge DC?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is edge DC drawn?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the line style of edge CB?"
},
{
"ground_truth_answer": "BA",
"label": "maintain",
"question": "Which edge is bottom horizontal?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the line style of edge BA?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is diagonal AC drawn?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is diagonal DB drawn?"
},
{
"ground_truth_answer": "Diagonals",
"label": "maintain",
"question": "What type of lines are AC and DB?"
},
{
"ground_truth_answer": "M",
"label": "maintain",
"question": "Which label appears inside the figure?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "Where is G relative to CB?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is segment BG drawn?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is segment CG drawn?"
},
{
"ground_truth_answer": "Solid straight",
"label": "maintain",
"question": "In the diagram, what is the line style of segment CG connecting point C (the square’s top-right corner) to point G on the right: solid straight, dashed, or curved?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is segment DG drawn?"
},
{
"ground_truth_answer": "BG",
"label": "maintain",
"question": "Which segment is point E near?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Near",
"label": "maintain",
"question": "Where is F relative to the page margin?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is label F isolated?"
}
] |
math
|
Make the line from E to G solid instead of dashed.
| |||
[
{
"ground_truth_answer": "Translated TiKZ Plot",
"label": "maintain",
"question": "What is the title of this plot?"
},
{
"ground_truth_answer": "dashed",
"label": "maintain",
"question": "What is the grid line style?"
},
{
"ground_truth_answer": "x",
"label": "maintain",
"question": "What is the label of the horizontal axis?"
},
{
"ground_truth_answer": "-1",
"label": "maintain",
"question": "What is the x-axis minimum value?"
},
{
"ground_truth_answer": "8",
"label": "maintain",
"question": "What is the x-axis maximum value?"
},
{
"ground_truth_answer": "5",
"label": "maintain",
"question": "What is the y-axis maximum value?"
},
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "What is the x-coordinate of the central vertex of the polyline?"
},
{
"ground_truth_answer": "1",
"label": "editing",
"question": "What is the y-coordinate of the central vertex of the polyline?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "What label is at the right endpoint of the polyline?"
},
{
"ground_truth_answer": "7",
"label": "maintain",
"question": "What is the x-coordinate of the right endpoint of the polyline?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "What is the y-coordinate of the right endpoint of the polyline?"
},
{
"ground_truth_answer": "down",
"label": "maintain",
"question": "From the left endpoint to the vertex, does the polyline go up or down?"
},
{
"ground_truth_answer": "up",
"label": "maintain",
"question": "From the vertex to the right endpoint, does the polyline go up or down?"
},
{
"ground_truth_answer": "-2/3",
"label": "editing",
"question": "What is the slope of the left segment of the polyline?"
},
{
"ground_truth_answer": "3/4",
"label": "editing",
"question": "What is the slope of the right segment of the polyline?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "Along what x-value does the vertical arrow run?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "What is the starting y of the vertical arrow at x=0?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "What is the ending y of the vertical arrow at x=0?"
},
{
"ground_truth_answer": "upward",
"label": "maintain",
"question": "What is the direction of the vertical arrow at x=0?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "Along what y-value does the horizontal arrow lie?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "What is the starting x of the horizontal arrow at y=4?"
},
{
"ground_truth_answer": "7",
"label": "maintain",
"question": "What is the ending x of the horizontal arrow at y=4?"
},
{
"ground_truth_answer": "7",
"label": "maintain",
"question": "Along what x-value does the dashed segment stand?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "What is the ending y of the dashed segment at x=7?"
},
{
"ground_truth_answer": "Downward.",
"label": "maintain",
"question": "For the short diagonal arrow located near x=1.2, y=2.3 on the left side of the plot, what is the vertical direction of its arrowhead—upward or downward?"
},
{
"ground_truth_answer": "Downward",
"label": "maintain",
"question": "In the plot, consider the small diagonal arrow located on the left side with its midpoint near the coordinate (1.2, 1.2). Along the vertical axis, does this arrowhead point upward or downward?"
},
{
"ground_truth_answer": "Right leg (the segment from (3,1) to (7,4)).",
"label": "maintain",
"question": "In the V-shaped polyline—whose left leg runs from (0,3) to (3,1) and right leg runs from (3,1) to (7,4)—a small arrow appears near the point (6, 3.6). On which leg of the V is this arrow located?"
},
{
"ground_truth_answer": "1 unit",
"label": "editing",
"question": "How far above the x-axis is the central vertex?"
}
] |
math
|
Move the bottom point of the V upward by one unit so the central vertex sits at y = 1 instead of on the x-axis.
| |||
[
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "How many panels does the diagram have?"
},
{
"ground_truth_answer": "graph diagram",
"label": "maintain",
"question": "What type of diagram is it?"
},
{
"ground_truth_answer": "H",
"label": "maintain",
"question": "What is the label of the left panel?"
},
{
"ground_truth_answer": "6",
"label": "maintain",
"question": "How many vertices are depicted in the left panel?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are the vertices in the left panel?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are edges in the left panel?"
},
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "In the leftmost panel labeled H, how many distinct vertices are located at the single lowest point where the outer edges meet (the bottom apex)?"
},
{
"ground_truth_answer": "bottom",
"label": "editing",
"question": "Where is the apex vertex located in the left panel?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many outer upper vertices are in the left panel?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "In the leftmost panel (H), consider the two outer slanted edges that form the V-shaped boundary. Excluding the single bottom vertex where these edges meet, how many distinct vertices lie on these two edges (i.e., at their endpoints)?"
},
{
"ground_truth_answer": "Top third.",
"label": "maintain",
"question": "In the leftmost diagram labeled “H,” focus on the two vertices that form the ends of the short horizontal edge near the top center. Considering the vertical span from the highest outer points down to the bottom apex, do these two vertices lie in the top third, middle third, or bottom third of that height?"
},
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "In the left panel labeled \"H\", inside the outer triangle, how many interior vertices lie below the horizontal interior edge and above the bottom vertex?"
},
{
"ground_truth_answer": "The intermediate right-side vertex between the apex and the top-right corner.",
"label": "maintain",
"question": "In the middle diagram labeled 'H − v', along the red right-side outer boundary, which single vertex is directly connected by a red edge to the bottommost vertex (the apex)?"
},
{
"ground_truth_answer": "upper-right vertex",
"label": "editing",
"question": "On the right outer boundary, what does the right side vertex connect to above?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of the bar connecting the side vertices?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "In the leftmost diagram labeled 'H', is there a direct edge between the central interior vertex (the one inside the small inner triangle) and the left endpoint of the horizontal segment in the middle of the graph?"
},
{
"ground_truth_answer": "central vertex and bottom apex",
"label": "maintain",
"question": "Which vertices are connected by the edge descending from the central vertex?"
},
{
"ground_truth_answer": "vertical/slanted",
"label": "editing",
"question": "What is the orientation of the edge from the central vertex to the bottom apex?"
},
{
"ground_truth_answer": "right",
"label": "editing",
"question": "Which side contains the highlighted outer chain in the middle panel?"
},
{
"ground_truth_answer": "upper-right vertex",
"label": "editing",
"question": "To which vertex does the highlighted chain go?"
},
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "How many vertices are in the path in the right panel?"
},
{
"ground_truth_answer": "path",
"label": "maintain",
"question": "What type of graph structure appears in the right panel?"
},
{
"ground_truth_answer": "bottom vertex",
"label": "maintain",
"question": "Which vertex is connected to both left and right vertices in the right panel?"
},
{
"ground_truth_answer": "slanted",
"label": "maintain",
"question": "What is the orientation of the edge from the bottom vertex to the right vertex in the right panel?"
},
{
"ground_truth_answer": "longer",
"label": "maintain",
"question": "What is the relative length of the edge from the bottom vertex to the right vertex in the right panel?"
},
{
"ground_truth_answer": "Dots.",
"label": "maintain",
"question": "In the leftmost diagram labeled 'H', what shape are the small markers used to denote each vertex (the endpoints of the edges)?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Change the red-highlighted slanted edge in the middle graph to the long outer slanted edge on its right side.
| |||
[
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the diagram include line segments?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color is the circle centered at E?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "What is the center of the blue circle?"
},
{
"ground_truth_answer": "Yes",
"label": "editing",
"question": "Is the blue circle (centered near the point labeled E) drawn with a larger radius than the green circle at the bottom-left of the image?"
},
{
"ground_truth_answer": "Upper-left arc",
"label": "editing",
"question": "Where on the red circle does point P lie?"
},
{
"ground_truth_answer": "Green",
"label": "maintain",
"question": "What color is the small circular arc?"
},
{
"ground_truth_answer": "Lower-left",
"label": "maintain",
"question": "Which portion of the red circle does the green arc intersect?"
},
{
"ground_truth_answer": "N",
"label": "maintain",
"question": "The green arc passes near which other point?"
},
{
"ground_truth_answer": "Black filled",
"label": "maintain",
"question": "What style marks points F, D, C, M, B, and N?"
},
{
"ground_truth_answer": "Top",
"label": "maintain",
"question": "Where is point F located?"
},
{
"ground_truth_answer": "Far right",
"label": "maintain",
"question": "Where is point D located?"
},
{
"ground_truth_answer": "Just left",
"label": "maintain",
"question": "Where is point M relative to E?"
},
{
"ground_truth_answer": "Slightly below",
"label": "maintain",
"question": "Where is point B relative to E?"
},
{
"ground_truth_answer": "Blue and green",
"label": "editing",
"question": "Near the overlap of which colors is point N?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Do the rays cross the blue circle?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "On which side of the red circle do the rays meet it?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of the tall segment from F?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "Considering the vertical black line segment drawn from point F down to point B, which labeled point does this segment pass through between F and B?"
},
{
"ground_truth_answer": "C and F",
"label": "maintain",
"question": "Which points does the slanted segment connect?"
},
{
"ground_truth_answer": "P",
"label": "maintain",
"question": "Which point does the slanted segment pass near?"
},
{
"ground_truth_answer": "Centered above",
"label": "maintain",
"question": "Where is the title positioned relative to the figure?"
},
{
"ground_truth_answer": "Red",
"label": "maintain",
"question": "What color is Γ2?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the points?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the lines?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the text?"
}
] |
math
|
Enlarge the small blue circle centered at the origin so it doubles in size while keeping its center fixed.
| |||
[
{
"ground_truth_answer": "Lower-right",
"label": "maintain",
"question": "Where is vertex B located?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of side AB?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of side DC?"
},
{
"ground_truth_answer": "Oblique",
"label": "maintain",
"question": "What is the orientation of side BC?"
},
{
"ground_truth_answer": "DC",
"label": "maintain",
"question": "Which side is the top edge?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "On which side does point E lie?"
},
{
"ground_truth_answer": "A and D",
"label": "maintain",
"question": "Between which vertices is H?"
},
{
"ground_truth_answer": "B and C",
"label": "maintain",
"question": "Between which vertices is F?"
},
{
"ground_truth_answer": "DF",
"label": "maintain",
"question": "Which segment connects D and F?"
},
{
"ground_truth_answer": "HF",
"label": "maintain",
"question": "Which segment connects H and F?"
},
{
"ground_truth_answer": "Interior",
"label": "maintain",
"question": "In which region are segments DF and HF located?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "At what point on BC does DF meet?"
},
{
"ground_truth_answer": "H",
"label": "editing",
"question": "Which point on HF is lower?"
},
{
"ground_truth_answer": "F",
"label": "editing",
"question": "Which point on HF is higher?"
},
{
"ground_truth_answer": "DF",
"label": "maintain",
"question": "In the diagram, segment HF (from H on AD to F on BC) ends at point F. At F, which labeled interior segment does HF meet?"
},
{
"ground_truth_answer": "Near right interior",
"label": "editing",
"question": "Where is this intersection located relative to the figure?"
},
{
"ground_truth_answer": "bbb",
"label": "maintain",
"question": "Which text appears below the middle of AB near E?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "\"bbb\" is near which point?"
},
{
"ground_truth_answer": "vdots",
"label": "maintain",
"question": "Which text appears below the right portion near B?"
},
{
"ground_truth_answer": "Outside",
"label": "maintain",
"question": "Is \"bbb\" inside or outside the figure?"
}
] |
math
|
Tilt the interior segment connecting H to F upward so that it rises from H to F instead of being horizontal.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "What type of diagram is depicted, showing the outlines of a red parallelogram, a green triangle, and a yellow trapezoid?"
},
{
"ground_truth_answer": "Red parallelogram",
"label": "maintain",
"question": "Which shape is at the left?"
},
{
"ground_truth_answer": "Green triangle",
"label": "maintain",
"question": "Which shape is in the center?"
},
{
"ground_truth_answer": "Yellow trapezoid",
"label": "maintain",
"question": "Which shape is at the right?"
},
{
"ground_truth_answer": "Nearly horizontal",
"label": "maintain",
"question": "What is the orientation of the red parallelogram’s longer edges?"
},
{
"ground_truth_answer": "Lower-left",
"label": "editing",
"question": "In which quadrant does the red parallelogram sit?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of the green triangle’s base?"
},
{
"ground_truth_answer": "Less than the base length.",
"label": "maintain",
"question": "For the green triangle in the center, is the vertical distance from its base to its apex less than, equal to, or greater than the length of its base?"
},
{
"ground_truth_answer": "Low and squat",
"label": "maintain",
"question": "Which description best fits the proportions of the central green-outlined triangle (base length compared to height): tall and narrow, or low and squat?"
},
{
"ground_truth_answer": "Tall",
"label": "maintain",
"question": "For the yellow trapezoid on the right side of the image, which descriptor best fits its proportions—tall or short?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "Which side of the yellow trapezoid is vertical?"
},
{
"ground_truth_answer": "Top",
"label": "maintain",
"question": "Which edge of the yellow trapezoid is shorter, top or base?"
},
{
"ground_truth_answer": "Outlined",
"label": "maintain",
"question": "Are the shapes filled or outlined?"
}
] |
math
|
Lower the top vertex of the green triangle so the peak is closer to the base, making the triangle shorter in height.
| |||
[
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the lines?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point A labeled?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point B labeled?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point C labeled?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point E labeled?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point F labeled?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point G labeled?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point O labeled?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are solid segments present?"
},
{
"ground_truth_answer": "Lower left",
"label": "maintain",
"question": "Where is segment E–F located?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which point is connected to O by a solid segment besides E?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "In the diagram, what is the line style of the segment connecting points O and A: solid or dashed?"
},
{
"ground_truth_answer": "E–O–A",
"label": "maintain",
"question": "What polyline is formed by E, O, and A?"
},
{
"ground_truth_answer": "Ascending",
"label": "maintain",
"question": "In the diagram, look at the polyline formed by segments EO and OA (E–O–A). As you move from point E to point A via O, does the path rise (ascending) or fall (descending)?"
},
{
"ground_truth_answer": "Solid.",
"label": "editing",
"question": "In the diagram, what line style is used for the straight segment connecting points A and C (solid or dashed)?"
},
{
"ground_truth_answer": "Up-right",
"label": "editing",
"question": "In the diagram, consider the straight line segment connecting A to C. When moving from point A toward point C along segment A–C, which diagonal direction does it go: up-left, up-right, down-left, or down-right?"
},
{
"ground_truth_answer": "A–B–C",
"label": "maintain",
"question": "Which triangle is formed by points A, B, and C?"
},
{
"ground_truth_answer": "G",
"label": "maintain",
"question": "What label marks the interior of triangle A–B–C?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "Relative to point B, is point D horizontally to the left or to the right?"
},
{
"ground_truth_answer": "1",
"label": "editing",
"question": "How many dashed segments are present?"
}
] |
math
|
Redirect the single dashed segment so it runs from point O to point B rather than to point C.
| |||
[
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color are the axes?"
},
{
"ground_truth_answer": "Dotted",
"label": "maintain",
"question": "What line style are the axes?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "At what point do the axes cross?"
},
{
"ground_truth_answer": "Five",
"label": "maintain",
"question": "How many rays emanate from O?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the rays?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What line style are the rays?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "From which point do the rays emanate?"
},
{
"ground_truth_answer": "Second",
"label": "maintain",
"question": "Into which quadrant does OA extend?"
},
{
"ground_truth_answer": "Third",
"label": "maintain",
"question": "Into which quadrant does OC extend?"
},
{
"ground_truth_answer": "Upper-right",
"label": "maintain",
"question": "In directional terms, where does OD point?"
},
{
"ground_truth_answer": "Two",
"label": "maintain",
"question": "How many straight lines formed by opposite rays are shown?"
},
{
"ground_truth_answer": "First",
"label": "editing",
"question": "Into which quadrant does OE extend?"
},
{
"ground_truth_answer": "Upward to the right",
"label": "editing",
"question": "In directional terms, how does OE slant?"
},
{
"ground_truth_answer": "Above",
"label": "editing",
"question": "Relative to the horizontal dotted axis, where is OE?"
},
{
"ground_truth_answer": "Shallower",
"label": "maintain",
"question": "Compared to OD, how steep is OE?"
},
{
"ground_truth_answer": "Rises gently",
"label": "editing",
"question": "As OE moves rightward, how does its height change?"
},
{
"ground_truth_answer": "Near the far ends of their rays.",
"label": "maintain",
"question": "For the five black rays that start at point O and are labeled A, B, C, D, and E, are the text labels placed near point O or near the far (drawn) ends of their respective rays?"
},
{
"ground_truth_answer": "Intersection of dotted axes",
"label": "maintain",
"question": "Where is label O placed?"
}
] |
math
|
Move the endpoint of ray OE upward so that the horizontal ray becomes a slanted ray rising to the right while still starting at O.
| |||
[
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "What segment forms the base?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of base BC?"
},
{
"ground_truth_answer": "В",
"label": "maintain",
"question": "Which endpoint of BC is at the lower left?"
},
{
"ground_truth_answer": "Top-right quadrant.",
"label": "maintain",
"question": "If the image is divided into four quadrants by its horizontal and vertical midlines, in which quadrant is the point labeled 'A' located?"
},
{
"ground_truth_answer": "Д",
"label": "editing",
"question": "Which point lies about midway up on the right side CA?"
},
{
"ground_truth_answer": "Б",
"label": "editing",
"question": "In the diagram, what label is at the left endpoint of the horizontal line segment inside the large triangle (the endpoint lying on the left slanted side)?"
},
{
"ground_truth_answer": "Above the base",
"label": "maintain",
"question": "Where is point Б relative to the base?"
},
{
"ground_truth_answer": "Left of Д",
"label": "maintain",
"question": "Where is point Б relative to Д?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of the segment connecting Б to Д?"
},
{
"ground_truth_answer": "Two",
"label": "maintain",
"question": "How many distinct points labeled Б appear?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of the short segment with endpoints P and Q?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are all construction lines?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color are all point labels?"
}
] |
math
|
Make the previously dashed E–D line solid.
| |||
[
{
"ground_truth_answer": "Rectangle",
"label": "maintain",
"question": "What is the shape of the outer frame?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the frame contain interior line segments?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are coordinate labels present?"
},
{
"ground_truth_answer": "(0,0)",
"label": "maintain",
"question": "What label marks the bottom-left corner?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of the interior segment at x=3?"
},
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "At what x-coordinate is the vertical interior segment located?"
},
{
"ground_truth_answer": "(3,3)",
"label": "maintain",
"question": "What are the coordinates of the upper endpoint of the vertical segment at x=3?"
},
{
"ground_truth_answer": "(3,3)",
"label": "maintain",
"question": "Which labeled point lies on a slanted segment near the top?"
},
{
"ground_truth_answer": "Top-right corner",
"label": "maintain",
"question": "To which corner does that slanted segment lead?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many diagonals connect to point (3,1)?"
},
{
"ground_truth_answer": "(0,0)",
"label": "maintain",
"question": "In the diagram, the point labeled (3,3) is connected by two line segments. From which labeled point does the positively sloped (up-right) diagonal segment to (3,3) originate?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the diagonal from (0,0) to (3,3) rise?"
},
{
"ground_truth_answer": "More shallowly",
"label": "maintain",
"question": "How does the diagonal from (0,0) to (3,1) rise relative to the other?"
},
{
"ground_truth_answer": "(4,0)",
"label": "editing",
"question": "At what coordinates on the bottom edge (y = 0) does the slanted line segment that starts at the lower endpoint (3,1) of the vertical line intersect the rectangle?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the line color?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "(3,3)",
"label": "maintain",
"question": "At which coordinate do the vertical interior segment and the slanted upper segment meet?"
}
] |
math
|
Move the top end of the vertical interior segment slightly upward so it meets the slanted top edge at a higher point.
| |||
[
{
"ground_truth_answer": "Large",
"label": "maintain",
"question": "In the image, compared to the thickness of the two vertical pink lines connecting them, are the two pink circles large or small?"
},
{
"ground_truth_answer": "Near bottom center",
"label": "maintain",
"question": "Where is the lower circle located?"
},
{
"ground_truth_answer": "Right-angle \"L\"",
"label": "maintain",
"question": "What shape of line appears inside each circle?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the \"L\" lines inside the circles?"
},
{
"ground_truth_answer": "Left circumference",
"label": "maintain",
"question": "In the top circle, from where does the horizontal segment start?"
},
{
"ground_truth_answer": "Toward the circle’s center.",
"label": "maintain",
"question": "In the top pink circle, the black L-shaped line has a horizontal leg that starts at the circle’s left edge and extends inward. Toward what point does this horizontal segment extend?"
},
{
"ground_truth_answer": "Near center",
"label": "maintain",
"question": "In the bottom circle, from where does the vertical segment rise?"
},
{
"ground_truth_answer": "Rising",
"label": "maintain",
"question": "In the bottom circle, what is the direction of the vertical segment?"
},
{
"ground_truth_answer": "Horizontal segment",
"label": "maintain",
"question": "In the bottom circle, what does the vertical segment meet?"
},
{
"ground_truth_answer": "Right circumference",
"label": "maintain",
"question": "In the bottom circle, to where does the horizontal segment extend?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many vertical pink lines run between the circles?"
},
{
"ground_truth_answer": "Solid",
"label": "editing",
"question": "What is the line style (solid, dashed, or dotted) of the two vertical pink lines connecting the top and bottom pink circles?"
},
{
"ground_truth_answer": "Solid continuous (unbroken).",
"label": "editing",
"question": "For the two vertical pink side lines that run between the top and bottom pink circles, are they drawn as solid unbroken lines or as dashed/segmented lines?"
},
{
"ground_truth_answer": "Left and right extremities",
"label": "maintain",
"question": "To what parts of the circles are the vertical pink lines tangent?"
},
{
"ground_truth_answer": "Vase Drawing",
"label": "maintain",
"question": "What text appears above the upper circle?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of the text above the upper circle?"
}
] |
math
|
Make the two pink vertical dotted side lines solid continuous lines.
| |||
[
{
"ground_truth_answer": "Black-and-white",
"label": "maintain",
"question": "What is the color scheme of the diagram?"
},
{
"ground_truth_answer": "3D block",
"label": "editing",
"question": "What object does the diagram depict?"
},
{
"ground_truth_answer": "Rectangular",
"label": "maintain",
"question": "What kind of prisms compose the block?"
},
{
"ground_truth_answer": "Yes; they are joined along that shared vertical rectangular face.",
"label": "maintain",
"question": "In the image, do the two rectangular prisms—the left prism with front face labeled 1 and the right prism with front face labeled 4—share a common face along the central vertical boundary between them?"
},
{
"ground_truth_answer": "Rectangles",
"label": "maintain",
"question": "What shapes does the front face split into?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "What label is on the right front rectangle?"
},
{
"ground_truth_answer": "Parallelogram",
"label": "maintain",
"question": "What shape is the left top face?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "What label is on the left top face?"
},
{
"ground_truth_answer": "Parallelogram",
"label": "maintain",
"question": "What shape is the right top face?"
},
{
"ground_truth_answer": "3",
"label": "maintain",
"question": "What label is on the right top face?"
},
{
"ground_truth_answer": "Face 4",
"label": "maintain",
"question": "Which front face lies below top face 3?"
},
{
"ground_truth_answer": "Ridge",
"label": "editing",
"question": "What feature connects the two top faces?"
},
{
"ground_truth_answer": "Short",
"label": "maintain",
"question": "Which best describes the length of the diagonal ridge line segment that separates the two top faces labeled 2 and 3—short or long?"
},
{
"ground_truth_answer": "Oblique",
"label": "maintain",
"question": "What is the orientation of the ridge connecting the top faces?"
},
{
"ground_truth_answer": "5",
"label": "maintain",
"question": "What label is on the right side face?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of the far-right edge of face 5?"
},
{
"ground_truth_answer": "Downward from right to left",
"label": "maintain",
"question": "How does the top edge of face 5 slope?"
},
{
"ground_truth_answer": "Downward from right to left",
"label": "maintain",
"question": "How does the bottom edge of face 5 slope?"
},
{
"ground_truth_answer": "To the right",
"label": "maintain",
"question": "In which direction does the right side project beyond the front?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the edges?"
},
{
"ground_truth_answer": "All visible edges.",
"label": "maintain",
"question": "Which edges of the shape with faces labeled 1–5 are drawn using the thin black line style—only some edges or all visible edges?"
},
{
"ground_truth_answer": "1–5",
"label": "maintain",
"question": "Which numerals appear on the faces?"
},
{
"ground_truth_answer": "Centered",
"label": "maintain",
"question": "Where are the numerals positioned on their faces?"
},
{
"ground_truth_answer": "Their respective faces",
"label": "maintain",
"question": "On what are the numerals 1–5 placed?"
}
] |
math
|
Extend the right slanted face horizontally to the right, making the block appear deeper.
| |||
[
{
"ground_truth_answer": "Triangle ABC",
"label": "maintain",
"question": "What is the main geometric figure?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which point is the apex?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which point is at the lower-right?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "Which side is the base?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which side forms the left side?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which side forms the right side?"
},
{
"ground_truth_answer": "AD",
"label": "maintain",
"question": "Which segment runs from A to D on BC?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "On which side does point D lie?"
},
{
"ground_truth_answer": "ABD",
"label": "maintain",
"question": "In the diagram, segment AD divides triangle ABC into two large subtriangles: ABD and ADC. Which of these two subtriangles is on the left side of segment AD?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "On which side does point E lie?"
},
{
"ground_truth_answer": "Solid",
"label": "editing",
"question": "In the diagram, what is the line style (solid or dashed) of the segment from vertex A to point D on the base BC?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "In the diagram, what line style is used to draw the segment connecting point E to point D (solid, dashed, or dotted)?"
},
{
"ground_truth_answer": "BED",
"label": "maintain",
"question": "After adding ED, which subtriangle of ABD is leftmost?"
},
{
"ground_truth_answer": "AED",
"label": "maintain",
"question": "After adding ED, which subtriangle of ABD is upper-left?"
},
{
"ground_truth_answer": "Adjacent to the vertices.",
"label": "maintain",
"question": "In the diagram, relative to their corresponding vertices, where are the labels A, B, C, D, and E placed?"
},
{
"ground_truth_answer": "5",
"label": "maintain",
"question": "How many labeled points are present?"
}
] |
math
|
Make the previously dashed vertical segment from the apex to the base a solid straight line.
| |||
[
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "What is the base of triangle ABC?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which point is at the right end of BC?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "Which vertex serves as the apex?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Where is A located relative to BC?"
},
{
"ground_truth_answer": "Altitude",
"label": "maintain",
"question": "What type of segment is AF?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What is the color of AF?"
},
{
"ground_truth_answer": "Dotted",
"label": "maintain",
"question": "What is the style of AF?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of AF?"
},
{
"ground_truth_answer": "Downward",
"label": "maintain",
"question": "In which direction does AF extend from A?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "To which point does AF drop?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "To which side does AF drop?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "In the diagram, what is the line style of segment AD (from vertex A to point D on base BC): solid or dashed?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "On which side does E lie?"
},
{
"ground_truth_answer": "Lower-right portion",
"label": "editing",
"question": "Where along AC is E located?"
},
{
"ground_truth_answer": "Oblique",
"label": "maintain",
"question": "What is DE's general orientation?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "In the diagram, what is the line style of segment AB (the left edge from point A to point B): solid or dashed?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the color of side AC?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the style of side BC?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "What label marks point A?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "What label marks point C?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "What label marks point D?"
},
{
"ground_truth_answer": "E",
"label": "maintain",
"question": "What label marks point E?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "What label marks point F?"
}
] |
math
|
Move the endpoint E on side AC slightly downward and to the right along AC, shortening the internal segment DE.
| |||
[
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are auxiliary segments present?"
},
{
"ground_truth_answer": "Center-left",
"label": "editing",
"question": "Relative to the overall image frame (not compared to other shapes), where is the smaller circle—the fully drawn circle on the left—located?"
},
{
"ground_truth_answer": "On the left side of the small circle’s circumference.",
"label": "maintain",
"question": "On the smaller circle, besides points A and B, there is one additional black point marked on its circumference (near the O1 label). On which side of the smaller circle’s boundary is this point located?"
},
{
"ground_truth_answer": "O1",
"label": "editing",
"question": "Which label is next to the small circle's left flank boundary point?"
},
{
"ground_truth_answer": "O2",
"label": "editing",
"question": "Which label is next to the small circle's right flank boundary point?"
},
{
"ground_truth_answer": "Downward-right",
"label": "editing",
"question": "What is the orientation of the third segment from the junction?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does a horizontal line pass through the junction?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "In which direction does this horizontal line extend past the small circle?"
},
{
"ground_truth_answer": "F",
"label": "maintain",
"question": "Which letter annotates the horizontal direction on the right side?"
},
{
"ground_truth_answer": "Yes",
"label": "editing",
"question": "Does the larger arc intersect the small circle in the lower-right quadrant?"
},
{
"ground_truth_answer": "Right-hand circle",
"label": "maintain",
"question": "Which circle has the larger radius?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the diagram elements?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What color is the background?"
}
] |
math
|
Enlarge only the right circle so it extends farther outward while keeping the left circle unchanged.
| |||
[
{
"ground_truth_answer": "diagram",
"label": "maintain",
"question": "Classify the overall image type. Choose one: diagram, photograph, or painting."
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is the diagram annotated?"
},
{
"ground_truth_answer": "Wireframe.",
"label": "maintain",
"question": "In the image, the 3D box is depicted only by its edges, with hidden edges shown as dashed lines and no faces shaded. What is this rendering style called?"
},
{
"ground_truth_answer": "cube",
"label": "maintain",
"question": "What shape is depicted?"
},
{
"ground_truth_answer": "right",
"label": "maintain",
"question": "In which direction does the top face project?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of the front top edge?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color is the front top horizontal edge?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of the two end markers that bound the '2x' dimension line drawn above the near (front) top horizontal edge of the box?"
},
{
"ground_truth_answer": "above",
"label": "maintain",
"question": "Where are the markers placed relative to the front top horizontal edge?"
},
{
"ground_truth_answer": "2x",
"label": "maintain",
"question": "What label is on the arrow between the markers above the front top horizontal edge?"
},
{
"ground_truth_answer": "Above.",
"label": "maintain",
"question": "In the diagram, consider the front edge of the raised top face. Relative to the cube’s front-left vertical edge (the upright line at the left front corner), is the left endpoint of that front top edge above, below, or level with it?"
},
{
"ground_truth_answer": "overhang",
"label": "editing",
"question": "What does the rightward shift of the right endpoint create?"
},
{
"ground_truth_answer": "slanted edge",
"label": "maintain",
"question": "How does the new right tip connect back to the top?"
},
{
"ground_truth_answer": "vertical",
"label": "maintain",
"question": "What is the orientation of the projection from the new right tip?"
},
{
"ground_truth_answer": "dashed",
"label": "editing",
"question": "What is the style of the projection from the new right tip?"
},
{
"ground_truth_answer": "third",
"label": "maintain",
"question": "Among the three double-headed '2x' arrows around the top face, ordered from right to left, what ordinal position is the arrow that is parallel to the left slanted top edge?"
},
{
"ground_truth_answer": "The left slanted top edge.",
"label": "maintain",
"question": "On the top face, there are three dimension arrows labeled 2x: a diagonal one at the left, a horizontal one across the middle, and a vertical one at the right. With which edge is the diagonal left arrow aligned?"
},
{
"ground_truth_answer": "depth",
"label": "maintain",
"question": "In the 3D box diagram, the short arrow that runs parallel to the left slanted edge of the top face indicates which dimension of the box?"
},
{
"ground_truth_answer": "dashed",
"label": "maintain",
"question": "How are hidden edges drawn?"
},
{
"ground_truth_answer": "Rear-left vertical edge.",
"label": "maintain",
"question": "In the central cube, viewed from the front, which rear vertical edge is drawn with a dashed line to indicate it is hidden?"
},
{
"ground_truth_answer": "back-bottom",
"label": "maintain",
"question": "Which hidden bottom edge is dashed?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are all elements?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
}
] |
math
|
Extend the top face to the right so the top horizontal edge is longer, shifting only its right endpoint rightward.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "What type of diagram is shown?"
},
{
"ground_truth_answer": "Cartesian axes",
"label": "maintain",
"question": "What coordinate system is used?"
},
{
"ground_truth_answer": "x-axis",
"label": "maintain",
"question": "What is the horizontal axis called?"
},
{
"ground_truth_answer": "Rightward",
"label": "maintain",
"question": "Which direction does the x-axis arrow point?"
},
{
"ground_truth_answer": "Upward",
"label": "maintain",
"question": "Which direction does the y-axis arrow point?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "What label marks the origin?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Where does the right vertical line intersect the x-axis?"
},
{
"ground_truth_answer": "At x-axis intersection",
"label": "maintain",
"question": "Where is B located on the right vertical line?"
},
{
"ground_truth_answer": "Q",
"label": "editing",
"question": "Which label is midway on the right vertical line?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which label is below Q on the right vertical line?"
},
{
"ground_truth_answer": "The right vertical line that intersects the x-axis at B.",
"label": "maintain",
"question": "In the figure, there are two vertical lines: the y-axis through O and a second vertical line to the right that intersects the x-axis at point B. On which of these lines is point A located?"
},
{
"ground_truth_answer": "The right vertical line labeled A.",
"label": "maintain",
"question": "Among the two vertical lines shown—the left y-axis (x=0) and the right vertical line labeled A—which vertical line contains point B (the point marked on the x-axis to the right of the origin)?"
},
{
"ground_truth_answer": "Negative",
"label": "maintain",
"question": "What is the slope sign of the line crossing the y-axis at C?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Where does the negatively sloped line meet the right vertical line?"
},
{
"ground_truth_answer": "Positive",
"label": "maintain",
"question": "What is the slope sign of the line that cuts the right vertical line at Q?"
},
{
"ground_truth_answer": "Q",
"label": "editing",
"question": "Where does the positively sloped line cut the right vertical line?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the lines?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "On the right vertical line, where is Q relative to D?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "At what point does the right vertical line intersect the x-axis?"
}
] |
math
|
Move the right vertical line leftward so that points A, B, and D lie on the shifted line.
| |||
[
{
"ground_truth_answer": "3D",
"label": "maintain",
"question": "What dimensionality does the figure have?"
},
{
"ground_truth_answer": "pyramidal figure",
"label": "maintain",
"question": "What overall shape is depicted?"
},
{
"ground_truth_answer": "blue",
"label": "maintain",
"question": "What is the color of label A?"
},
{
"ground_truth_answer": "near bottom center",
"label": "editing",
"question": "Where is B located?"
},
{
"ground_truth_answer": "orange",
"label": "editing",
"question": "What is the color of label C?"
},
{
"ground_truth_answer": "lower right",
"label": "maintain",
"question": "Where is C located?"
},
{
"ground_truth_answer": "D",
"label": "editing",
"question": "What label is the additional point between A and C?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color is segment PA?"
},
{
"ground_truth_answer": "thin",
"label": "editing",
"question": "What thickness is segment PA?"
},
{
"ground_truth_answer": "solid",
"label": "maintain",
"question": "What line style is segment PB?"
},
{
"ground_truth_answer": "thin",
"label": "editing",
"question": "What thickness is segment PC?"
},
{
"ground_truth_answer": "horizontal along the bottom",
"label": "maintain",
"question": "What orientation is segment BC?"
},
{
"ground_truth_answer": "dashed",
"label": "maintain",
"question": "What line style is segment AD?"
},
{
"ground_truth_answer": "PD",
"label": "maintain",
"question": "Which connector is visually emphasized?"
},
{
"ground_truth_answer": "thinner",
"label": "editing",
"question": "How do the other solid connectors compare in thickness to PD?"
},
{
"ground_truth_answer": "base edge",
"label": "maintain",
"question": "What does segment BC indicate?"
}
] |
math
|
Make the segment connecting P to D appear as a solid black line instead of a dashed one.
| |||
[
{
"ground_truth_answer": "y",
"label": "maintain",
"question": "What is the y-axis label?"
},
{
"ground_truth_answer": "[-1.5, 1.5]",
"label": "maintain",
"question": "What is the x-range?"
},
{
"ground_truth_answer": "vertical",
"label": "maintain",
"question": "What is the orientation of the symmetry line?"
},
{
"ground_truth_answer": "0",
"label": "maintain",
"question": "Approximate x-coordinate of the parabola's maximum?"
},
{
"ground_truth_answer": "0.5",
"label": "maintain",
"question": "Approximate y-coordinate of the parabola's maximum?"
},
{
"ground_truth_answer": "0",
"label": "editing",
"question": "What is the y-value of the blue chord?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is the horizontal blue chord centered?"
},
{
"ground_truth_answer": "Line y=0",
"label": "maintain",
"question": "What is the legend label for the blue chord?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are the intersection points symmetric?"
},
{
"ground_truth_answer": "1.0",
"label": "maintain",
"question": "Approximate positive x-value of the intersections?"
},
{
"ground_truth_answer": "-1.0",
"label": "maintain",
"question": "Approximate negative x-value of the intersections?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "How many red circular markers are shown?"
},
{
"ground_truth_answer": "circular",
"label": "maintain",
"question": "What shape are the marker symbols?"
},
{
"ground_truth_answer": "x=0",
"label": "editing",
"question": "On which line do the markers lie?"
},
{
"ground_truth_answer": "(0, 0)",
"label": "maintain",
"question": "What are the coordinates of point O?"
},
{
"ground_truth_answer": "(0, 0)",
"label": "editing",
"question": "What are the coordinates of the chord's midpoint?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "What is the label of the marker at (0, 1.0)?"
},
{
"ground_truth_answer": "(0, 1.0)",
"label": "maintain",
"question": "What are the coordinates of point C?"
},
{
"ground_truth_answer": "upper-right",
"label": "maintain",
"question": "Where is the legend positioned?"
},
{
"ground_truth_answer": "Parabola",
"label": "maintain",
"question": "What is the legend label for the orange curve?"
}
] |
math
|
Raise the horizontal blue chord and its red endpoints upward so it lies higher on the parabola, keeping it centered and horizontal.
| |||
[
{
"ground_truth_answer": "An annotated Cartesian (X–Y) plot.",
"label": "maintain",
"question": "Identify the overall plot type shown: an X–Y grid with axes, a blue curve labeled 'f(x)=0.5x^2', and labeled points/segments (O, A, B, C, D). What kind of plot is this?"
},
{
"ground_truth_answer": "−0.5",
"label": "maintain",
"question": "Approximately what is the minimum x-value shown?"
},
{
"ground_truth_answer": "4.0",
"label": "maintain",
"question": "Approximately what is the maximum x-value shown?"
},
{
"ground_truth_answer": "3.0",
"label": "maintain",
"question": "Approximately what is the maximum y-value shown?"
},
{
"ground_truth_answer": "Plot of the function and triangle OABC",
"label": "maintain",
"question": "What is the title of this plot?"
},
{
"ground_truth_answer": "OABC",
"label": "maintain",
"question": "What triangle name appears in the title?"
},
{
"ground_truth_answer": "Up",
"label": "maintain",
"question": "Does the curve open up or down?"
},
{
"ground_truth_answer": "1.1",
"label": "maintain",
"question": "Around what y-value does the curve have x ≈ 1.5?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the polyline?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are the polyline’s points labeled?"
},
{
"ground_truth_answer": "(2.1, 1.5)",
"label": "maintain",
"question": "Approximately what are the coordinates of point A?"
},
{
"ground_truth_answer": "Above-right",
"label": "maintain",
"question": "Where is A relative to O?"
},
{
"ground_truth_answer": "(3.0, 1.0)",
"label": "editing",
"question": "Approximately what are the coordinates of point B?"
},
{
"ground_truth_answer": "B and C",
"label": "maintain",
"question": "Which points are connected by segment BC?"
},
{
"ground_truth_answer": "CO",
"label": "maintain",
"question": "Which segment closes the path?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is point D interior?"
},
{
"ground_truth_answer": "Down",
"label": "maintain",
"question": "From D, in which direction does DC extend to C?"
},
{
"ground_truth_answer": "y = 0",
"label": "maintain",
"question": "Along what line does the dashed horizontal line extend?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "From which point does the dashed horizontal line extend rightward?"
}
] |
math
|
Raise point B vertically so that it sits higher on the right, moving the connected edges to meet the new height.
| |||
[
{
"ground_truth_answer": "quadrilateral",
"label": "maintain",
"question": "What polygon is depicted?"
},
{
"ground_truth_answer": "blue",
"label": "maintain",
"question": "What color are the line segments?"
},
{
"ground_truth_answer": "blue",
"label": "maintain",
"question": "What color are the vertex markers?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which vertex is at the lower-left?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which vertex is at the lower-right?"
},
{
"ground_truth_answer": "B and C",
"label": "maintain",
"question": "Which vertices form the base segment?"
},
{
"ground_truth_answer": "B and A",
"label": "maintain",
"question": "Which vertices form the left edge?"
},
{
"ground_truth_answer": "ascends moderately to the right",
"label": "maintain",
"question": "How does edge BA slope?"
},
{
"ground_truth_answer": "ascends gently to the right",
"label": "editing",
"question": "How does edge AD slope?"
},
{
"ground_truth_answer": "C and D",
"label": "maintain",
"question": "Which vertices form the right edge?"
},
{
"ground_truth_answer": "ascends steeply to the right",
"label": "maintain",
"question": "How does edge CD slope?"
},
{
"ground_truth_answer": "CD",
"label": "editing",
"question": "In the quadrilateral with vertices A, B, C, and D, consider BA as the left edge and CD as the right edge. Comparing their vertical heights (difference in y-coordinates), which edge has the greater height?"
},
{
"ground_truth_answer": "D",
"label": "editing",
"question": "Which vertex is highest?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "Which vertex is rightmost?"
},
{
"ground_truth_answer": "above",
"label": "maintain",
"question": "Where is D relative to C vertically?"
},
{
"ground_truth_answer": "just above",
"label": "maintain",
"question": "Where is label \"A\" relative to point A?"
},
{
"ground_truth_answer": "Directly below the dot.",
"label": "maintain",
"question": "In the diagram, at the lower-right vertex (point C), where is the black text label \"C\" positioned relative to the blue dot for point C?"
},
{
"ground_truth_answer": "C and D",
"label": "editing",
"question": "Between which vertices is vertical separation pronounced?"
}
] |
math
|
Move point D upward to make the right slanted edge taller while keeping its x-position the same.
| |||
[
{
"ground_truth_answer": "Geometric diagram",
"label": "maintain",
"question": "What type of image is this?"
},
{
"ground_truth_answer": "Semicircle",
"label": "maintain",
"question": "What is the primary shape shown?"
},
{
"ground_truth_answer": "Filled",
"label": "maintain",
"question": "Is the semicircle filled or unfilled?"
},
{
"ground_truth_answer": "Gray",
"label": "editing",
"question": "What is the outline color of the semicircle?"
},
{
"ground_truth_answer": "Near the center (inside).",
"label": "maintain",
"question": "In the gray semicircle, where is the text label \"h_i,0\" with superscript \"(l)\" positioned: at the center, on the curved edge, on the flat base, or outside the shape?"
},
{
"ground_truth_answer": "Diameter",
"label": "maintain",
"question": "What is the straight bottom edge of the semicircle?"
},
{
"ground_truth_answer": "Thick",
"label": "maintain",
"question": "Is the black horizontal line segment centered along the flat base (diameter) of the gray semicircle drawn thin or thick?"
},
{
"ground_truth_answer": "Centered",
"label": "maintain",
"question": "How is the segment along the diameter positioned horizontally?"
},
{
"ground_truth_answer": "Left and right",
"label": "maintain",
"question": "On which sides of the base do the gaps appear?"
}
] |
math
|
Shorten the black horizontal base line so it spans only the middle half of the semicircle.
| |||
[
{
"ground_truth_answer": "Warning icons",
"label": "editing",
"question": "What type of icons are shown?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Square",
"label": "maintain",
"question": "What shape does each icon include?"
},
{
"ground_truth_answer": "Small",
"label": "editing",
"question": "What is the size descriptor of each square?"
},
{
"ground_truth_answer": "Yellow",
"label": "maintain",
"question": "What color is the square in the upper icon?"
},
{
"ground_truth_answer": "Red-square icon",
"label": "editing",
"question": "Which icon is positioned directly below the yellow-square icon?"
},
{
"ground_truth_answer": "Clear vertical spacing",
"label": "maintain",
"question": "Between the top yellow 'FALLING ROCK' square and the lower red 'FALLING ROCK' square, what is the orientation of the gap separating them?"
}
] |
math
|
Recolor the lower square symbol from yellow to red.
| |||
[
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "What is the baseline labeled?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of AB?"
},
{
"ground_truth_answer": "A–E–B",
"label": "maintain",
"question": "What is the order of points along the baseline from left to right?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of BM?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "Which solid segment connects B to C?"
},
{
"ground_truth_answer": "BMC",
"label": "maintain",
"question": "Which triangle is formed by BM, BC, and MC?"
},
{
"ground_truth_answer": "M",
"label": "maintain",
"question": "At which point is the straight line A1–M–C broken?"
},
{
"ground_truth_answer": "E–B",
"label": "maintain",
"question": "After reaching E, which baseline segment continues to the right?"
},
{
"ground_truth_answer": "A1–D",
"label": "maintain",
"question": "On which segment does point N lie in the interior?"
},
{
"ground_truth_answer": "Two",
"label": "maintain",
"question": "How many dashed connectors lead to C?"
},
{
"ground_truth_answer": "N–C",
"label": "maintain",
"question": "Which dashed segment connects N to C?"
},
{
"ground_truth_answer": "D–C",
"label": "maintain",
"question": "Which dashed segment connects D to C?"
},
{
"ground_truth_answer": "BM",
"label": "maintain",
"question": "Which vertical segment does D–C intersect?"
},
{
"ground_truth_answer": "O–M",
"label": "maintain",
"question": "Which segment connects O to M?"
},
{
"ground_truth_answer": "Lower left",
"label": "maintain",
"question": "Where is O relative to M?"
},
{
"ground_truth_answer": "Upper right",
"label": "maintain",
"question": "Where is M relative to O?"
},
{
"ground_truth_answer": "Dots",
"label": "editing",
"question": "What shape represents the points?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the points?"
},
{
"ground_truth_answer": "N–C and D–C",
"label": "maintain",
"question": "Which segments are the exceptions to solid black?"
}
] |
math
|
Raise point M vertically upward to lengthen the segment from B to M.
| |||
[
{
"ground_truth_answer": "congruent",
"label": "maintain",
"question": "What size relationship do the two circles have?"
},
{
"ground_truth_answer": "vesica piscis",
"label": "editing",
"question": "What alternative name is given for the lens?"
},
{
"ground_truth_answer": "blue",
"label": "maintain",
"question": "What color are the labels?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "How many intersection points do the circles have?"
},
{
"ground_truth_answer": "Straight line segments.",
"label": "maintain",
"question": "In the diagram, are the four connections AO, AM, BO, and BM drawn as straight line segments or as curved arcs?"
},
{
"ground_truth_answer": "AO",
"label": "maintain",
"question": "What segment is drawn between A and O?"
},
{
"ground_truth_answer": "symmetric kite",
"label": "maintain",
"question": "What shape do segments AO, AM, BO, and BM form?"
},
{
"ground_truth_answer": "circular",
"label": "maintain",
"question": "What type of arcs connect A to B inside the lens?"
},
{
"ground_truth_answer": "N",
"label": "maintain",
"question": "Which label appears below segment OM near the left side?"
},
{
"ground_truth_answer": "just below",
"label": "maintain",
"question": "Where is label N relative to segment OM?"
},
{
"ground_truth_answer": "Closer to O (left side).",
"label": "maintain",
"question": "Relative to the dashed horizontal segment OM, is the blue label 'N' closer to the left endpoint O or the right endpoint M?"
},
{
"ground_truth_answer": "no",
"label": "maintain",
"question": "Does label N have a marked point?"
}
] |
math
|
Make the horizontal line connecting A and B solid instead of dashed.
| |||
[
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is the diagram annotated?"
},
{
"ground_truth_answer": "x",
"label": "maintain",
"question": "Which label appears centered on the bottom edge?"
},
{
"ground_truth_answer": "y",
"label": "maintain",
"question": "Which label appears along the left edge?"
},
{
"ground_truth_answer": "Bottom border",
"label": "editing",
"question": "Which border do the parabola's arms meet?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "How many points does the parabola meet the bottom border?"
},
{
"ground_truth_answer": "Slightly right of mid-width near the x label",
"label": "editing",
"question": "Where is the right intersection with the bottom border?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the markers?"
},
{
"ground_truth_answer": "A, B, C, E, F, M, O",
"label": "maintain",
"question": "Which letters label the markers?"
},
{
"ground_truth_answer": "y",
"label": "maintain",
"question": "Near which label is point A?"
},
{
"ground_truth_answer": "Left of the vertex",
"label": "maintain",
"question": "Where is point O relative to the vertex?"
},
{
"ground_truth_answer": "Outside the arch on the left side, slightly above the curve.",
"label": "maintain",
"question": "Relative to the blue parabolic arc at the bottom, is point O inside the arch, on the arc, or outside it, and on which side (left or right) of the arc is it located?"
},
{
"ground_truth_answer": "Outside; slightly above the blue curve.",
"label": "editing",
"question": "Define the 'arch' as the region below the blue parabolic curve and between its two x-intercepts. Is point C inside this region or outside it, and relative to the curve is it above or below?"
},
{
"ground_truth_answer": "Right of the vertex",
"label": "maintain",
"question": "Where is point E relative to the vertex?"
},
{
"ground_truth_answer": "Above",
"label": "maintain",
"question": "Is the dot labeled F positioned above or below the dot labeled M along the y-axis?"
},
{
"ground_truth_answer": "Near the upper central region",
"label": "maintain",
"question": "Where is point F regionally?"
},
{
"ground_truth_answer": "Lower-right quadrant",
"label": "maintain",
"question": "Divide the square plotting area into four equal regions using a vertical line through the center and a horizontal line through the center. In which of these quadrants is point B located?"
}
] |
math
|
Invert the blue parabola so it opens downward while keeping all points and labels fixed.
| |||
[
{
"ground_truth_answer": "1",
"label": "maintain",
"question": "How many horizontal lines of text are below the title?"
},
{
"ground_truth_answer": "tan A",
"label": "maintain",
"question": "What appears leftmost on the line?"
},
{
"ground_truth_answer": "CD",
"label": "maintain",
"question": "Which label appears after tan A?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "What is the direction of the arrow associated with CD?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "What is the direction of the arrow associated with DA?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "What is the rightmost visible value?"
}
] |
math
|
Replace the rightmost numeral “3” with “2”.
| |||
[
{
"ground_truth_answer": "ABC",
"label": "maintain",
"question": "What is the name of the triangle?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which side is the base of the triangle?"
},
{
"ground_truth_answer": "above",
"label": "maintain",
"question": "Where is vertex C relative to AB?"
},
{
"ground_truth_answer": "The segment starting at A.",
"label": "editing",
"question": "Between the two interior black line segments that originate at vertices A and B and extend into the triangle’s interior, which segment is longer?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "From which vertex does a segment descend to the base?"
},
{
"ground_truth_answer": "Downward toward side AB.",
"label": "maintain",
"question": "In the diagram of triangle ABC, there is an interior segment connecting vertex C to the labeled point Q on the base AB (segment CQ). From C, in what direction does segment CQ go?"
},
{
"ground_truth_answer": "blue",
"label": "maintain",
"question": "What is the color of the left circle?"
},
{
"ground_truth_answer": "Solid",
"label": "maintain",
"question": "What is the outline (stroke) style of the blue circle on the left—solid or dashed?"
},
{
"ground_truth_answer": "yes",
"label": "maintain",
"question": "Does the blue circle overlap the triangle?"
},
{
"ground_truth_answer": "left of Q",
"label": "maintain",
"question": "Where does the blue circle’s circumference intersect AB relative to Q?"
},
{
"ground_truth_answer": "The long slanted A–B segment that passes through P and Q.",
"label": "maintain",
"question": "In the triangle diagram, which interior black line segment does the blue circle intersect: the long slanted segment from vertex A to vertex B that passes through points P and Q, the short segment from P toward C, or the short segment from C to Q?"
},
{
"ground_truth_answer": "filled black point",
"label": "maintain",
"question": "What is point O’s appearance?"
},
{
"ground_truth_answer": "red",
"label": "maintain",
"question": "What color is the dashed circle centered at the interior point labeled Q?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are the triangle edges?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which label marks the right base vertex?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which label marks the apex?"
}
] |
math
|
Enlarge the dashed red circle centered at Q so it becomes larger while keeping its center fixed.
| |||
[
{
"ground_truth_answer": "Circular arcs.",
"label": "maintain",
"question": "Excluding the two complete circles at the bottom, what type of curve are the two long curved segments that pass through the gray points labeled 'a' (right) and 'b' (left)?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the diagram include labeled points?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "How many equal black circles are at the bottom?"
},
{
"ground_truth_answer": "Bottom",
"label": "editing",
"question": "Where are the two equal black circles located?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the two bottom circles?"
},
{
"ground_truth_answer": "Yes",
"label": "editing",
"question": "Are the two bottom circles equal in size?"
},
{
"ground_truth_answer": "Side-by-side (left–right).",
"label": "maintain",
"question": "For the two circles at the bottom of the image, are they arranged side-by-side (left–right) or stacked (one above the other)?"
},
{
"ground_truth_answer": "Lens",
"label": "editing",
"question": "What shape is formed by their overlap?"
},
{
"ground_truth_answer": "Top",
"label": "maintain",
"question": "Which intersection of the bottom circles carries label c?"
},
{
"ground_truth_answer": "c",
"label": "maintain",
"question": "What label marks the point at the top intersection of the bottom circles?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color is the point at the top intersection of the bottom circles?"
},
{
"ground_truth_answer": "2",
"label": "editing",
"question": "How many smaller circles lie inside the bottom circles?"
},
{
"ground_truth_answer": "Gray",
"label": "editing",
"question": "What color is the center point of the left inner circle?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Does the left inner circle pass through the lower intersection of the bottom circles?"
},
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "In the bottom pair of overlapping circles (the inner pair), is the rightmost circle on the left side or the right side of the pair?"
},
{
"ground_truth_answer": "e",
"label": "maintain",
"question": "What label marks the center of the right inner circle?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color is the center point of the right inner circle?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "In the diagram, the two overlapping circles at the bottom intersect at two points. For the upper intersection point of these two bottom circles, is that point on the circumference of the right-hand bottom circle?"
},
{
"ground_truth_answer": "Yes",
"label": "editing",
"question": "Does the right inner circle pass through the lower intersection of the bottom circles?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the additional descending arcs?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color is the point near the mid-arc of the left descending arc?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color is the point near the mid-arc of the right descending arc?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are all curves in the diagram?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Lowercase",
"label": "maintain",
"question": "What case are the labels?"
},
{
"ground_truth_answer": "a–e",
"label": "maintain",
"question": "Which letters are used as labels?"
},
{
"ground_truth_answer": "Adjacent",
"label": "editing",
"question": "Where are labels placed relative to their point markers?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color are the point markers?"
},
{
"ground_truth_answer": "5",
"label": "maintain",
"question": "How many labeled points are shown?"
}
] |
math
|
Enlarge the small left-middle circle so it expands outward while keeping its center fixed.
| |||
[
{
"ground_truth_answer": "Geometric",
"label": "editing",
"question": "What type of diagram is shown?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are the rectangles labeled?"
},
{
"ground_truth_answer": "Main Rectangle",
"label": "maintain",
"question": "What is the label of the large rectangle?"
},
{
"ground_truth_answer": "Side Rectangle",
"label": "maintain",
"question": "What is the label of the smaller rectangle?"
},
{
"ground_truth_answer": "Left",
"label": "maintain",
"question": "Where is the main rectangle located?"
},
{
"ground_truth_answer": "The Main Rectangle is larger than the Side Rectangle.",
"label": "maintain",
"question": "Between the left shape labeled 'Main Rectangle' and the right shape labeled 'Side Rectangle', which has the larger area?"
},
{
"ground_truth_answer": "Smaller",
"label": "maintain",
"question": "What is the relative size of the side rectangle?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What is the outline color of the side rectangle?"
},
{
"ground_truth_answer": "Dashed",
"label": "maintain",
"question": "What is the style of the guidelines inside the main rectangle?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of the guidelines inside the main rectangle?"
},
{
"ground_truth_answer": "Evenly",
"label": "maintain",
"question": "How are the guidelines spaced inside the main rectangle?"
},
{
"ground_truth_answer": "Across the main rectangle interior",
"label": "maintain",
"question": "Where do the dashed guidelines run?"
},
{
"ground_truth_answer": "Outside",
"label": "maintain",
"question": "Is the side rectangle inside or outside the main rectangle?"
},
{
"ground_truth_answer": "Uppermost dashed guideline height",
"label": "editing",
"question": "What does the side rectangle’s bottom align with?"
},
{
"ground_truth_answer": "Centered above the large rectangle",
"label": "maintain",
"question": "Where is the \"Main Rectangle\" label positioned?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are all diagram elements?"
}
] |
math
|
Move the small right-hand rectangle upward so it attaches to the upper-right side of the main rectangle instead of the lower-right side.
| |||
[
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What is the triangle fill color?"
},
{
"ground_truth_answer": "Top-left corner",
"label": "maintain",
"question": "Which grid corner is a vertex of the triangle?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Are edges drawn connecting the three vertices?"
},
{
"ground_truth_answer": "Top-left corner and upper interior vertex",
"label": "editing",
"question": "Which two vertices are connected by the shallowly descending segment?"
},
{
"ground_truth_answer": "Descends",
"label": "editing",
"question": "Does the segment from the upper interior vertex to the bottom vertex ascend or descend?"
},
{
"ground_truth_answer": "Left half",
"label": "maintain",
"question": "Which half of the grid does the triangle primarily occupy?"
}
] |
math
|
Move the triangle’s right vertex one grid square left along the same horizontal line.
| |||
[
{
"ground_truth_answer": "Thin rectangular frames",
"label": "maintain",
"question": "What surrounds the diagrams?"
},
{
"ground_truth_answer": "Rectangular",
"label": "maintain",
"question": "What shape are the frames?"
},
{
"ground_truth_answer": "Light gray",
"label": "maintain",
"question": "What color are the guide lines?"
},
{
"ground_truth_answer": "Slightly left of center",
"label": "maintain",
"question": "Where is the vertical dashed guide located relative to center?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "What label is beneath the right panel?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of the base in panel A?"
},
{
"ground_truth_answer": "Downward",
"label": "maintain",
"question": "What is the hypotenuse’s slope direction in panel A?"
},
{
"ground_truth_answer": "Above.",
"label": "maintain",
"question": "In panel A, is the top vertex (apex) of the black triangle located above or below the central horizontal dotted reference line?"
},
{
"ground_truth_answer": "Horizontal tick",
"label": "editing",
"question": "What feature appears at the apex’s height in panel A?"
},
{
"ground_truth_answer": "Short",
"label": "editing",
"question": "In panel A (the leftmost panel), at the same vertical level as the triangle’s top vertex (apex), there is a horizontal dotted tick mark to the right of the triangle. Is this tick mark short or long?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color is the tick at the apex’s height in panel A?"
},
{
"ground_truth_answer": "On the midline",
"label": "maintain",
"question": "Where does the triangle in panel B rest?"
},
{
"ground_truth_answer": "Vertical",
"label": "maintain",
"question": "What is the orientation of the right leg in panel B?"
},
{
"ground_truth_answer": "Bold (thick solid)",
"label": "maintain",
"question": "In the center image labeled B, what is the line weight/style of the triangle’s right edge (the vertical segment on the triangle’s right side)?"
},
{
"ground_truth_answer": "Shorter.",
"label": "editing",
"question": "In the center panel labeled B, is the triangle’s horizontal base shorter or longer than its vertical side (height)?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "In panel B (the center image labeled “B”), what color is the short horizontal dotted line that marks the height of the triangle’s top vertex?"
},
{
"ground_truth_answer": "Semicircular arc",
"label": "maintain",
"question": "What arc appears in panel C?"
},
{
"ground_truth_answer": "Bold",
"label": "editing",
"question": "How is the arc in panel C styled?"
},
{
"ground_truth_answer": "On the left outer border of the panel, above the horizontal dotted midline.",
"label": "maintain",
"question": "In the rightmost panel labeled C, where is the leftmost endpoint of the thick arc located relative to the frame and guide lines?"
},
{
"ground_truth_answer": "Right triangle",
"label": "maintain",
"question": "In the rightmost panel labeled C, inside the semicircular arc at the top left, what type of triangle is drawn?"
},
{
"ground_truth_answer": "Small",
"label": "editing",
"question": "In the rightmost panel labeled C, what size category does the triangle correspond to—small, medium, or large?"
},
{
"ground_truth_answer": "Horizontal dotted line",
"label": "maintain",
"question": "In panel C (the rightmost panel), which dotted guide line does the semicircular arc’s rightmost endpoint coincide with: the horizontal or the vertical?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "In panel C, a short horizontal dotted guideline sits at the same height as the arc’s rightmost endpoint, to the right of the slanted segment. What color is that dotted guideline?"
},
{
"ground_truth_answer": "Dotted",
"label": "maintain",
"question": "In panel C, what is the line style of the short horizontal tick mark positioned at the same height as the arc’s rightmost point?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What orientation is the tick aligning with the arc’s rightmost end in panel C?"
}
] |
math
|
Increase the height of the small right triangle in the middle panel by moving its top-right vertex upward along the vertical edge.
| |||
[
{
"ground_truth_answer": "Quadrilateral",
"label": "maintain",
"question": "What shape is depicted?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "Which vertex is at the upper right?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which side is the top edge?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "Which side is the right edge?"
},
{
"ground_truth_answer": "CD",
"label": "maintain",
"question": "Which side is the lower edge?"
},
{
"ground_truth_answer": "Slanted",
"label": "maintain",
"question": "What is the orientation of DA?"
},
{
"ground_truth_answer": "From D up to A",
"label": "maintain",
"question": "In what direction does DA slant?"
},
{
"ground_truth_answer": "AC",
"label": "maintain",
"question": "Which diagonal connects A and C?"
},
{
"ground_truth_answer": "BD",
"label": "maintain",
"question": "Which diagonal connects B and D?"
},
{
"ground_truth_answer": "Descending rightward",
"label": "maintain",
"question": "In which direction does AC run?"
},
{
"ground_truth_answer": "Descending leftward",
"label": "editing",
"question": "In which direction does BD run?"
},
{
"ground_truth_answer": "Once",
"label": "maintain",
"question": "How many times do the diagonals intersect?"
}
] |
math
|
Convert the dashed diagonal from A to C into a solid line.
| |||
[
{
"ground_truth_answer": "Cartesian coordinate plot",
"label": "editing",
"question": "What type of plot is shown?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "What symbol labels the origin?"
},
{
"ground_truth_answer": "Thin",
"label": "maintain",
"question": "In the diagram, for the red dashed square with corners at (1,2), (3,2), (3,4), and (1,4), is its outline drawn with a thin or a thick line?"
},
{
"ground_truth_answer": "(2,3)",
"label": "maintain",
"question": "Where is the square centered?"
},
{
"ground_truth_answer": "(1,2)",
"label": "maintain",
"question": "What are the coordinates of the square's lower-left vertex?"
},
{
"ground_truth_answer": "(3,2)",
"label": "maintain",
"question": "What are the coordinates of the square's lower-right vertex?"
},
{
"ground_truth_answer": "(3,4)",
"label": "maintain",
"question": "What are the coordinates of the square's upper-right vertex?"
},
{
"ground_truth_answer": "(1,4)",
"label": "maintain",
"question": "What are the coordinates of the square's upper-left vertex?"
},
{
"ground_truth_answer": "black",
"label": "maintain",
"question": "What color are the diagonals?"
},
{
"ground_truth_answer": "(2,3)",
"label": "maintain",
"question": "At what point do the diagonals intersect?"
},
{
"ground_truth_answer": "M",
"label": "maintain",
"question": "What label marks the diagonals' intersection?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "What label is on the lower-left diagonal segment?"
},
{
"ground_truth_answer": "right",
"label": "maintain",
"question": "On which side of the square is label D placed?"
},
{
"ground_truth_answer": "≈3–4",
"label": "maintain",
"question": "Near what y-range does label D appear?"
},
{
"ground_truth_answer": "right",
"label": "maintain",
"question": "On which side of the square is label C placed?"
},
{
"ground_truth_answer": "≈2–3",
"label": "maintain",
"question": "Near what y-range does label C appear?"
}
] |
math
|
Recolor the square’s border from black to red while leaving the diagonals and labels unchanged.
| |||
[
{
"ground_truth_answer": "left",
"label": "maintain",
"question": "Where is point A located?"
},
{
"ground_truth_answer": "Above the center.",
"label": "maintain",
"question": "In the diagram, relative to the center of the image frame, is point B positioned above or below the center?"
},
{
"ground_truth_answer": "down-right",
"label": "maintain",
"question": "In which direction does side BC slant?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "On which segment does point E lie?"
},
{
"ground_truth_answer": "between B and C",
"label": "maintain",
"question": "Where is E relative to B and C?"
},
{
"ground_truth_answer": "Solid, straight.",
"label": "editing",
"question": "In the diagram, how is segment DE drawn—solid or dashed, and straight or curved?"
},
{
"ground_truth_answer": "within",
"label": "maintain",
"question": "Where does DE run relative to triangle ABC?"
},
{
"ground_truth_answer": "no",
"label": "maintain",
"question": "Does DE meet AC anywhere besides D?"
},
{
"ground_truth_answer": "no",
"label": "maintain",
"question": "Does DE meet BC anywhere besides E?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "What label is near point A?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which letter labels the lower-right vertex where the segments from A and B meet (the common endpoint of lines AC and BC)?"
},
{
"ground_truth_answer": "2",
"label": "maintain",
"question": "Into how many regions does DE partition triangle ABC?"
},
{
"ground_truth_answer": "Left (near A).",
"label": "maintain",
"question": "In the shown triangle ABC (A on the left, C on the right), where is the quadrilateral ABED—formed by points A, B, E, and D—located relative to the triangle: on the left side near A or on the right side near C?"
},
{
"ground_truth_answer": "CDE",
"label": "maintain",
"question": "What is the right region formed by DE inside ABC?"
},
{
"ground_truth_answer": "triangle",
"label": "maintain",
"question": "What shape is CDE?"
}
] |
math
|
Convert the dotted DE segment into a solid straight line.
| |||
[
{
"ground_truth_answer": "triangle ABC",
"label": "maintain",
"question": "What geometric figure is shown?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "What is the base of the triangle?"
},
{
"ground_truth_answer": "bottom",
"label": "maintain",
"question": "Where is base BC located?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of base BC?"
},
{
"ground_truth_answer": "Solid black line segment.",
"label": "maintain",
"question": "What is the line style and color of segment AB, the left edge connecting vertex A (top) to vertex B (bottom-left)?"
},
{
"ground_truth_answer": "approximately equal",
"label": "maintain",
"question": "How do the heights of D and E compare?"
},
{
"ground_truth_answer": "horizontal",
"label": "maintain",
"question": "What is the orientation of segment DE?"
},
{
"ground_truth_answer": "solid",
"label": "maintain",
"question": "What is the drawing style of segment DE?"
},
{
"ground_truth_answer": "near center",
"label": "editing",
"question": "Where on DE is F located?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is G an interior point?"
},
{
"ground_truth_answer": "left",
"label": "maintain",
"question": "Where is G relative to F horizontally?"
},
{
"ground_truth_answer": "GF",
"label": "maintain",
"question": "Which segment connects G and F?"
},
{
"ground_truth_answer": "solid",
"label": "maintain",
"question": "What is the drawing style of segment GF?"
},
{
"ground_truth_answer": "short",
"label": "editing",
"question": "In the triangle diagram, DE is the horizontal segment inside the triangle. Point F is the labeled point on DE, and point G is the small interior point up-left of F that is connected to F by a solid black segment. Using the options {short, medium, long}, how would you describe the length of segment GF as drawn?"
},
{
"ground_truth_answer": "Filled black circles (solid dots).",
"label": "maintain",
"question": "In the diagram, how are the labeled points A, B, C, D, E, F, G, and H visually marked (e.g., open circles, filled circles, squares)?"
},
{
"ground_truth_answer": "8",
"label": "maintain",
"question": "How many labeled points are shown?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there a point labeled C?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there a point labeled D?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there a point labeled F?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there a point labeled G?"
}
] |
math
|
Redirect the dashed segment from H so that it ends at point D instead of point E.
| |||
[
{
"ground_truth_answer": "square",
"label": "maintain",
"question": "What shape is the panel?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "What is the background color?"
},
{
"ground_truth_answer": "Inset with white margins on all sides.",
"label": "maintain",
"question": "Relative to the white background, does the red gradient rectangle touch the edges or is it inset with a margin on all sides?"
},
{
"ground_truth_answer": "left border",
"label": "maintain",
"question": "Where does the gradient start?"
},
{
"ground_truth_answer": "dark red",
"label": "editing",
"question": "What is the color at the left border?"
},
{
"ground_truth_answer": "white",
"label": "maintain",
"question": "Toward what does the right-border color approach?"
}
] |
math
|
Change the gradient’s color palette so the left-to-right transition goes from dark red to light red.
| |||
[
{
"ground_truth_answer": "Right",
"label": "maintain",
"question": "Which direction does the x-axis arrow point?"
},
{
"ground_truth_answer": "O",
"label": "maintain",
"question": "At what point do the axes intersect?"
},
{
"ground_truth_answer": "Center",
"label": "editing",
"question": "Where is O located within the grid?"
},
{
"ground_truth_answer": "Dashed square grid",
"label": "editing",
"question": "What kind of grid surrounds the axes?"
},
{
"ground_truth_answer": "Yes",
"label": "maintain",
"question": "Is there a border around the grid?"
},
{
"ground_truth_answer": "Dashed",
"label": "maintain",
"question": "What is the border style?"
},
{
"ground_truth_answer": "Two",
"label": "maintain",
"question": "In the lower-left (third) quadrant, the three solid segments form one triangular outline whose three vertices are marked with the labels “A” and “A_i” at the upper-left vertex, “B_i” at the lower-left vertex, and “C” and “C_i” at the right vertex. Counting both labeled triangles that share this same outline (△ABC and △A_iB_iC_i), how many triangles are indicated there?"
},
{
"ground_truth_answer": "Superimposed",
"label": "editing",
"question": "How are the two triangles positioned relative to each other?"
},
{
"ground_truth_answer": "The triangle’s vertex labels.",
"label": "maintain",
"question": "In the triangle shown in the lower-left quadrant, some text overlaps at the same vertex positions (for example, 'A' with 'A_i' and 'C' with 'C_i'), causing duplication. What type of labels are duplicated by this overlap?"
},
{
"ground_truth_answer": "Lower-left",
"label": "editing",
"question": "In which quadrant do the overlapping triangles lie?"
},
{
"ground_truth_answer": "Left",
"label": "editing",
"question": "Relative to the y-axis, where does the overlapping pair lie?"
},
{
"ground_truth_answer": "Thin solid",
"label": "maintain",
"question": "What is the line style of the triangle sides?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "What segment connects A to B?"
},
{
"ground_truth_answer": "BC",
"label": "maintain",
"question": "What segment connects B to C?"
},
{
"ground_truth_answer": "Up-right",
"label": "editing",
"question": "From B/B1 to C/C1, how does segment BC slope?"
},
{
"ground_truth_answer": "Down-right",
"label": "editing",
"question": "From A/A1 to C/C1, how does segment CA slope?"
}
] |
math
|
Move the right-hand triangle to the left side so it overlaps the left triangle, preserving its shape and orientation.
| |||
[
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color are the nodes?"
},
{
"ground_truth_answer": "A",
"label": "maintain",
"question": "What black label is on the lower-left node?"
},
{
"ground_truth_answer": "Upper right",
"label": "maintain",
"question": "Where is node D located?"
},
{
"ground_truth_answer": "Slightly above",
"label": "maintain",
"question": "Where is the italic D relative to node D?"
},
{
"ground_truth_answer": "D",
"label": "maintain",
"question": "What black label is on the upper-right node?"
},
{
"ground_truth_answer": "Directly below",
"label": "maintain",
"question": "Where is node C relative to node D?"
},
{
"ground_truth_answer": "Approximately midway",
"label": "editing",
"question": "How high is C relative to B and D?"
},
{
"ground_truth_answer": "C",
"label": "maintain",
"question": "Which italic letter is near node C?"
},
{
"ground_truth_answer": "Horizontal",
"label": "maintain",
"question": "What is the orientation of edge A–B?"
},
{
"ground_truth_answer": "Steeper rising diagonal",
"label": "editing",
"question": "What is the orientation of edge A–D?"
},
{
"ground_truth_answer": "No",
"label": "maintain",
"question": "Are arrows present?"
}
] |
math
|
Move the C node vertically upward so that it sits midway between B and D, keeping its math label beneath it.
| |||
[
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color is the rectangle's outline?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "What segment divides the rectangle?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color is point A's marker?"
},
{
"ground_truth_answer": "Bottom-right corner",
"label": "editing",
"question": "Where is point B located?"
},
{
"ground_truth_answer": "B",
"label": "maintain",
"question": "What is point B's label?"
},
{
"ground_truth_answer": "Down-right",
"label": "maintain",
"question": "From A to B, in what direction does segment AB run?"
},
{
"ground_truth_answer": "AB",
"label": "maintain",
"question": "Which internal segment bounds the triangular region?"
},
{
"ground_truth_answer": "Top-right corner to B",
"label": "maintain",
"question": "Which right-edge segment bounds the triangular region?"
},
{
"ground_truth_answer": "White",
"label": "maintain",
"question": "What color is the region left of AB?"
},
{
"ground_truth_answer": "Black",
"label": "maintain",
"question": "What color are the borders?"
},
{
"ground_truth_answer": "Gray",
"label": "maintain",
"question": "What color is the shaded fill?"
},
{
"ground_truth_answer": "Blue",
"label": "maintain",
"question": "What color are the point markers?"
}
] |
math
|
Move point B vertically down along the rectangle’s right edge to the bottom-right corner, making the shaded triangle larger.
| |||
[
{
"ground_truth_answer": "Square",
"label": "maintain",
"question": "What is the shape of the left prism’s front face?"
},
{
"ground_truth_answer": "2.5",
"label": "maintain",
"question": "What label is on the left prism’s bottom front edge?"
},
{
"ground_truth_answer": "2.5",
"label": "maintain",
"question": "What label is on the left prism’s receding bottom edge on the right side?"
},
{
"ground_truth_answer": "6",
"label": "editing",
"question": "What label is on the right prism’s bottom front edge?"
},
{
"ground_truth_answer": "4",
"label": "maintain",
"question": "What label is on the right prism’s short receding bottom edge on the right side?"
},
{
"ground_truth_answer": "2.5",
"label": "maintain",
"question": "What label is on the right prism’s right vertical edge?"
}
] |
math
|
Update the numeric label beneath the right prism’s front bottom edge to read 6 instead of 5.
| |||
[
{
"ground_truth_answer": "Plot of the function y = 0.5x³ − 0.5x²",
"label": "maintain",
"question": "What is the title of this plot?"
},
{
"ground_truth_answer": "y = 0.5x³ − 0.5x²",
"label": "maintain",
"question": "What function does the curve represent?"
},
{
"ground_truth_answer": "x",
"label": "maintain",
"question": "What is the label of the horizontal axis?"
},
{
"ground_truth_answer": "y",
"label": "maintain",
"question": "What is the label of the vertical axis?"
},
{
"ground_truth_answer": "vertical",
"label": "maintain",
"question": "What is the orientation of the y-axis?"
},
{
"ground_truth_answer": "1.5",
"label": "maintain",
"question": "What is the maximum tick value shown on the axes?"
},
{
"ground_truth_answer": "light-gray",
"label": "maintain",
"question": "What color are the gridlines?"
},
{
"ground_truth_answer": "≈ 0.67",
"label": "maintain",
"question": "Near what x-value is the local minimum?"
},
{
"ground_truth_answer": "green",
"label": "editing",
"question": "What color line is shown in the legend?"
},
{
"ground_truth_answer": "y = 0.5x³ − 0.5x²",
"label": "maintain",
"question": "What text label appears in the legend?"
}
] |
math
|
Recolor the single blue function curve to green while keeping all other elements unchanged.
|
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