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[ { "ground_truth_answer": "Geometric Construction", "label": "maintain", "question": "What is the title of the diagram?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "What is the name of the horizontal baseline?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is point E on AB?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "Which point lies between A and O on AB?" }, { "ground_truth_answer": "top-center", "label": "maintain", "question": "Where is point C located?" }, { "ground_truth_answer": "solid", "label": "editing", "question": "In the diagram, what is the line style (solid or dashed) of the segment connecting point C to point O?" }, { "ground_truth_answer": "straight", "label": "maintain", "question": "Is segment CB straight or curved?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Through which point does the arc pass at the right?" }, { "ground_truth_answer": "A and C", "label": "maintain", "question": "Between which points do two nested smooth arcs lie?" }, { "ground_truth_answer": "2", "label": "editing", "question": "Between points A (bottom-left) and C (top center), how many distinct curved arcs (not straight line segments) are drawn with endpoints exactly at A and C?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is there a two-segment polyline A–E–C?" }, { "ground_truth_answer": "oblique upward to C", "label": "maintain", "question": "What is the direction of the second leg from E to C in A–E–C?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is there a two-segment polyline A–H–C?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is there a two-segment polyline A–G–C?" }, { "ground_truth_answer": "10", "label": "maintain", "question": "How many labeled points are present?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is point A labeled?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is point D labeled?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is point E labeled?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is point O labeled?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is point P labeled?" } ]
math
Make the vertical line from C down to O solid instead of dashed.
[ { "ground_truth_answer": "2", "label": "maintain", "question": "How many bars are shown?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of the bars?" }, { "ground_truth_answer": "Diagonal hatching", "label": "maintain", "question": "What pattern do the bars have?" }, { "ground_truth_answer": "8 cm", "label": "editing", "question": "Around what mark does the upper bar end?" }, { "ground_truth_answer": "A gap.", "label": "maintain", "question": "In the chart, what is present between the right end of the top light-gray hatched rectangle and the right border of the plotting area?" }, { "ground_truth_answer": "Directly below", "label": "maintain", "question": "Where is the lower bar relative to the upper bar?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of the subdivision lines?" }, { "ground_truth_answer": "1 cm", "label": "maintain", "question": "At what interval do labels appear along the lower bar?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the bottom axis include a tick labeled 2?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the bottom axis include a tick labeled 6?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the bottom axis include a tick labeled 8?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the bottom axis include a tick labeled 10?" }, { "ground_truth_answer": "Upper gray bar", "label": "maintain", "question": "Which bar ends earlier?" } ]
math
Shorten the upper gray rectangle so it no longer reaches the far right end, making it end earlier than the bottom one.
[ { "ground_truth_answer": "DC", "label": "maintain", "question": "Which side is the top base?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which base is longer?" }, { "ground_truth_answer": "DC", "label": "maintain", "question": "Which base is shorter?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is vertex A?" }, { "ground_truth_answer": "Orange", "label": "maintain", "question": "What color is vertex B?" }, { "ground_truth_answer": "Left end", "label": "maintain", "question": "Where is vertex D located along DC?" }, { "ground_truth_answer": "Right end", "label": "maintain", "question": "Where is vertex C located along DC?" }, { "ground_truth_answer": "Inward", "label": "maintain", "question": "How do sides AD and BC tilt?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What line style is used for the diagonals?" }, { "ground_truth_answer": "Purple", "label": "maintain", "question": "What is the color of point O?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What letter labels the purple point inside the trapezoid?" }, { "ground_truth_answer": "No; O is between the diagonals and not on either one.", "label": "editing", "question": "With respect to the dashed diagonals AC and DB, does the purple point labeled O lie on either diagonal?" }, { "ground_truth_answer": "Slightly above", "label": "editing", "question": "Relative to the diagonals’ intersection, where is point O located?" }, { "ground_truth_answer": "Centered above", "label": "maintain", "question": "Where is the label “O” placed relative to the purple point?" } ]
math
Move the intersection point O slightly upward along the crossing diagonals.
[ { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is point O included?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Is point O' included?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Which point is the rightmost vertex?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which point is the leftmost?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "On the solid line segment that starts at point B and slants down-right, which labeled point is the first one encountered to the right of B?" }, { "ground_truth_answer": "Lower", "label": "maintain", "question": "On which chain between B and C does D lie?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of segment OA?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of segment OA?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What type of segment connects B to O'?" }, { "ground_truth_answer": "Below", "label": "maintain", "question": "Relative to BO, where does dashed BO' run?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the vertex dots?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the vertex dots filled?" } ]
math
Move point O' downward so it lies level with point D, extending all dashed and solid segments incident to O' accordingly.
[ { "ground_truth_answer": "Geometric net diagram", "label": "maintain", "question": "What type of diagram is shown?" }, { "ground_truth_answer": "6", "label": "maintain", "question": "How many squares are in the diagram?" }, { "ground_truth_answer": "Squares", "label": "maintain", "question": "What shape are the regions?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the outlines?" }, { "ground_truth_answer": "Thin", "label": "maintain", "question": "How thick are the outlines?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does each square have a label?" }, { "ground_truth_answer": "Centered", "label": "editing", "question": "Where are the labels positioned?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color are the labels?" }, { "ground_truth_answer": "a, b, c, d, e, f", "label": "maintain", "question": "Which labels appear in the diagram?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of the central strip?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many squares wide is the central horizontal strip?" }, { "ground_truth_answer": "b", "label": "maintain", "question": "What label is the leftmost square of the central strip?" }, { "ground_truth_answer": "e", "label": "maintain", "question": "What label is the rightmost square of the central strip?" }, { "ground_truth_answer": "a", "label": "maintain", "question": "Which square lies directly above c?" }, { "ground_truth_answer": "Bottom", "label": "maintain", "question": "Which side of a is shared with c?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Do a and c share an edge?" }, { "ground_truth_answer": "c", "label": "maintain", "question": "Which square is immediately right of b?" }, { "ground_truth_answer": "e", "label": "maintain", "question": "Which square is immediately right of d?" }, { "ground_truth_answer": "c", "label": "maintain", "question": "Which square is immediately below a?" } ]
math
Move the bottom square labeled “f” from beneath the middle column to directly beneath the leftmost square labeled “b”.
[ { "ground_truth_answer": "Cartesian coordinate system.", "label": "maintain", "question": "What coordinate system is the graph drawn on, as indicated by the perpendicular axes labeled 'x-axis' and 'y-axis'?" }, { "ground_truth_answer": "Plot of the Function and Triangle Area", "label": "maintain", "question": "What is the title of the plot?" }, { "ground_truth_answer": "−2.0 to 2.0", "label": "maintain", "question": "What is the x-axis range?" }, { "ground_truth_answer": "0.5", "label": "maintain", "question": "What is the y-axis tick interval?" }, { "ground_truth_answer": "x-axis", "label": "maintain", "question": "What is the horizontal axis label?" }, { "ground_truth_answer": "y-axis", "label": "maintain", "question": "What is the vertical axis label?" }, { "ground_truth_answer": "upper right", "label": "maintain", "question": "Where is the legend positioned?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is the curve labeled in the legend?" }, { "ground_truth_answer": "y = 0.5x^2", "label": "maintain", "question": "What equation is shown in the legend?" }, { "ground_truth_answer": "above", "label": "maintain", "question": "Relative to the x-axis, where is one parabolic arc?" }, { "ground_truth_answer": "slightly left", "label": "maintain", "question": "Relative to O, where is P located?" }, { "ground_truth_answer": "OP", "label": "maintain", "question": "What is the triangle's base segment?" }, { "ground_truth_answer": "On the x-axis.", "label": "maintain", "question": "Relative to the x-axis, where is the left vertex of the shaded gray triangle labeled P located?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Is the vertical height of the shaded gray triangle—measured perpendicular to its horizontal base on the x-axis from O to the right—shorter than the length of that base?" } ]
math
Raise the bottom vertex of the shaded triangle upward so the triangle becomes shorter (its tip moves closer to the x-axis).
[ { "ground_truth_answer": "black", "label": "maintain", "question": "What color are the triangle's edges?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which segment is the base of the triangle?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of segment AB?" }, { "ground_truth_answer": "blue", "label": "maintain", "question": "What color is vertex A?" }, { "ground_truth_answer": "lower right", "label": "maintain", "question": "Where is vertex B located?" }, { "ground_truth_answer": "descending", "label": "maintain", "question": "How is segment CB oriented from C to B?" }, { "ground_truth_answer": "purple", "label": "maintain", "question": "What color is point N?" }, { "ground_truth_answer": "N to C", "label": "maintain", "question": "From which point to which point does NC run?" }, { "ground_truth_answer": "The section adjacent to C (upper).", "label": "maintain", "question": "Along the slanted side AC, N splits AC into AN and NC. Which portion of AC is NC: the section adjacent to A (lower) or the section adjacent to C (upper)?" }, { "ground_truth_answer": "inside", "label": "editing", "question": "Where is point D located relative to triangle ABC?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is segment AD?" }, { "ground_truth_answer": "brown", "label": "maintain", "question": "What color is point M?" }, { "ground_truth_answer": "slightly below-left", "label": "maintain", "question": "Where is M relative to D?" }, { "ground_truth_answer": "MD", "label": "maintain", "question": "Which segment links M to D?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "What label appears near point B?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "What label appears near point C?" } ]
math
Replace the short segment connecting N to M with a segment connecting N directly to vertex C.
[ { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the vertices labeled?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "How many interior diagonals are drawn?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color are the vertex markers?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which vertex follows C along the perimeter?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "Which vertex follows D along the perimeter?" }, { "ground_truth_answer": "Near top center", "label": "maintain", "question": "Where is vertex A located approximately?" }, { "ground_truth_answer": "Upper-left", "label": "maintain", "question": "Where is vertex B located approximately?" }, { "ground_truth_answer": "Lower-left", "label": "maintain", "question": "Where is vertex D located approximately?" }, { "ground_truth_answer": "Lower-right", "label": "maintain", "question": "Where is vertex E located approximately?" }, { "ground_truth_answer": "Mid-right", "label": "maintain", "question": "Where is vertex F located approximately?" }, { "ground_truth_answer": "Adjacent to their respective dots.", "label": "maintain", "question": "Relative to the blue vertex dots marking points A, B, C, D, E, and F, where are the letter labels positioned?" }, { "ground_truth_answer": "Above", "label": "maintain", "question": "Where is label A positioned relative to its vertex?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is label C positioned relative to its vertex?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Where is label F positioned relative to its vertex?" }, { "ground_truth_answer": "A and C", "label": "editing", "question": "Which vertices does the interior segment connect?" }, { "ground_truth_answer": "Black", "label": "editing", "question": "What color is the A–C segment?" }, { "ground_truth_answer": "Dashed", "label": "editing", "question": "What style is the A–C segment?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Does the A–C segment meet the boundary at A?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Does the A–C segment meet the boundary at C?" } ]
math
Move the dashed diagonal so it runs from vertex A to vertex C instead of from A to F.
[ { "ground_truth_answer": "Geometric line diagram", "label": "maintain", "question": "What type of diagram is shown?" }, { "ground_truth_answer": "Quadrilateral", "label": "editing", "question": "What polygon is depicted?" }, { "ground_truth_answer": "F–A–D–C", "label": "editing", "question": "What is the vertex order of the quadrilateral?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "FC", "label": "editing", "question": "Which side is the lower side?" }, { "ground_truth_answer": "FD", "label": "maintain", "question": "Which diagonal connects F and D?" }, { "ground_truth_answer": "Interior point", "label": "editing", "question": "Where do AC and FD intersect relative to the figure?" }, { "ground_truth_answer": "Right of E", "label": "editing", "question": "Where is the intersection relative to point E?" }, { "ground_truth_answer": "A", "label": "editing", "question": "E is closer to which endpoint of AC?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the labels?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is point C labeled?" }, { "ground_truth_answer": "Line segments", "label": "maintain", "question": "In the diagram, what geometric primitive is used for all the connections between the labeled points (A, B, C, D, E, F)—line segments, rays, or curves?" }, { "ground_truth_answer": "Oblique", "label": "maintain", "question": "How is AF described in orientation?" } ]
math
Shift the labeled point E upward along the diagonal so that the intersection with FD occurs higher above segment FC.
[ { "ground_truth_answer": "Cartesian axes", "label": "maintain", "question": "What coordinate axes are used?" }, { "ground_truth_answer": "y-axis", "label": "maintain", "question": "Which axis is vertical?" }, { "ground_truth_answer": "y", "label": "maintain", "question": "What label is on the vertical axis?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "Through what point does the y-axis pass?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What label marks the origin?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "What number labels the y-axis tick?" }, { "ground_truth_answer": "x-axis", "label": "maintain", "question": "Which axis is horizontal?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "To what y-value does the left side reach at the top?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of the top base?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "At what y-value is the top base located?" }, { "ground_truth_answer": "To the right of the dashed line, at the right slanted side.", "label": "editing", "question": "Relative to the right dashed vertical line, where does the right end of the trapezoid’s top horizontal edge lie?" }, { "ground_truth_answer": "descending", "label": "editing", "question": "What is the vertical motion of the right side from top to base?" }, { "ground_truth_answer": "Directly under the short vertical tick on the top edge, near the right end.", "label": "editing", "question": "In the trapezoid shown, where is the rightmost dashed vertical segment located relative to the top edge features?" } ]
math
Extend the trapezoid’s flat top to the right, making the right slanted edge start farther right.
[ { "ground_truth_answer": "Geometric Diagram", "label": "maintain", "question": "What is the title of the diagram?" }, { "ground_truth_answer": "Centered above", "label": "maintain", "question": "Where is the title positioned?" }, { "ground_truth_answer": "Lower left", "label": "maintain", "question": "Where is A located?" }, { "ground_truth_answer": "Directly above A", "label": "maintain", "question": "Where is B relative to A?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of side AB?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of side AC?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Which side is the base?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "On which side lies E?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "What color is point P?" }, { "ground_truth_answer": "Interior point", "label": "maintain", "question": "With respect to the line segment BC in the diagram, is the red point P an endpoint or an interior point of that segment?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "On which segment does P lie?" }, { "ground_truth_answer": "C", "label": "editing", "question": "P is closer to which endpoint of BC?" }, { "ground_truth_answer": "Rises", "label": "maintain", "question": "How does FP slope from F to P?" } ]
math
Shift the internal point P closer to vertex C along the existing segment PC, so all connected cevians pivot accordingly.
[ { "ground_truth_answer": "A, B, C, D, E, F", "label": "maintain", "question": "What are the labels of the points?" }, { "ground_truth_answer": "green", "label": "maintain", "question": "What color is point A?" }, { "ground_truth_answer": "blue", "label": "maintain", "question": "What color is point C?" }, { "ground_truth_answer": "red", "label": "maintain", "question": "What color is point D?" }, { "ground_truth_answer": "brown", "label": "maintain", "question": "What color is point F?" }, { "ground_truth_answer": "top-left", "label": "maintain", "question": "Considering the whole image divided into four regions (top-left, top-right, bottom-left, bottom-right), in which region of the image is the labeled point A located?" }, { "ground_truth_answer": "The left endpoint.", "label": "maintain", "question": "In the figure, point C lies on the bottom horizontal line segment CD. At which endpoint of CD is point C located?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "What segment connects A and B?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of segment AB?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is segment AB?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "What segment connects B and C?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "Which point is the apex of triangle ABC?" }, { "ground_truth_answer": "CD", "label": "maintain", "question": "What segment connects C and D?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "To which point does segment CD extend from C?" }, { "ground_truth_answer": "base segment", "label": "maintain", "question": "How is segment CD described relative to its role?" }, { "ground_truth_answer": "right", "label": "maintain", "question": "Where is point D relative to point C?" }, { "ground_truth_answer": "downward to the right", "label": "maintain", "question": "What is the slope direction of segment ED?" }, { "ground_truth_answer": "EF", "label": "maintain", "question": "What segment connects E and F?" }, { "ground_truth_answer": "steeply up-right", "label": "editing", "question": "What is the slope direction of segment EF?" }, { "ground_truth_answer": "Adjacent (immediately next to it).", "label": "maintain", "question": "At the brown point in the upper-right (point F), how is the text label 'F' positioned relative to the dot—overlapping it, adjacent (immediately next to it), or far away?" } ]
math
Move point F vertically upward so that EF becomes a steeper rising segment instead of horizontal.
[ { "ground_truth_answer": "Polygon", "label": "maintain", "question": "What main figure is depicted?" }, { "ground_truth_answer": "A, B, C, D, E, F", "label": "maintain", "question": "What labels are used for vertices?" }, { "ground_truth_answer": "BF", "label": "maintain", "question": "What is the base segment?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "Which point lies between E and F on the base?" }, { "ground_truth_answer": "F", "label": "maintain", "question": "Which point is rightmost on the base?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "From which point does a right-leaning side rise to A?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is A above the base BF?" }, { "ground_truth_answer": "Slightly upward right", "label": "editing", "question": "What is the slope direction of AD?" }, { "ground_truth_answer": "Diagonal", "label": "maintain", "question": "In the polygon whose vertices, in clockwise order, are A, B, C, F, and D (with C on the base BF), what type of segment is DC within this polygon: a side or a diagonal?" }, { "ground_truth_answer": "Long", "label": "maintain", "question": "In the diagram, considering the oblique segment from D to C, relative to the short base segment CE (from C to E), is DC described as long or short?" }, { "ground_truth_answer": "Outer boundary (perimeter) segment.", "label": "maintain", "question": "In the diagram, is segment DF (from the top vertex D to the rightmost base point F) part of the figure’s outer boundary/perimeter or an interior segment?" }, { "ground_truth_answer": "Right side", "label": "maintain", "question": "On which side is triangular wedge DCF located?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "What segment connects A to C?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are B, E, C, F collinear?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the base pass through E and C between B and F?" } ]
math
Move vertex D upward to make the top edge AD higher and the slanted diagonals from D longer.
[ { "ground_truth_answer": "light-blue", "label": "editing", "question": "What is the bar fill color?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there an x-axis tick at 2?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a y-axis tick at 40?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a y-axis tick at 60?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a y-axis tick at 80?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a y-axis tick at 120?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a dashed gridline at y=80?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a dashed gridline at y=100?" }, { "ground_truth_answer": "Frequency", "label": "maintain", "question": "What text does the legend display?" }, { "ground_truth_answer": "light-blue", "label": "editing", "question": "What color is the legend swatch?" }, { "ground_truth_answer": "about 40", "label": "maintain", "question": "What is the approximate height of the 4th bar from the left?" }, { "ground_truth_answer": "about 80", "label": "maintain", "question": "What is the approximate height of the 5th bar from the left?" }, { "ground_truth_answer": "about 5", "label": "maintain", "question": "What is the approximate height of the 9th bar from the left?" }, { "ground_truth_answer": "about 1.5", "label": "maintain", "question": "Near what x-value is the tallest bar?" }, { "ground_truth_answer": "about 100", "label": "maintain", "question": "What is the approximate height of the tallest bar?" }, { "ground_truth_answer": "about 80", "label": "maintain", "question": "What is the approximate height of the bar near x ≈ 1.0?" }, { "ground_truth_answer": "about 60", "label": "maintain", "question": "What is the approximate height of the bar near x ≈ 2.0?" }, { "ground_truth_answer": "1–5", "label": "maintain", "question": "On the 'Difference of All Units' histogram, what is the approximate frequency (y-axis height) of the light-blue bar centered around x ≈ 3.2?" } ]
math
Recolor the bars from gray to light blue while keeping all heights and positions unchanged.
[ { "ground_truth_answer": "Line plot", "label": "maintain", "question": "What is the plot type?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is the line?" }, { "ground_truth_answer": "Straight", "label": "maintain", "question": "Is the line straight or curved?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of the x-axis?" }, { "ground_truth_answer": "x", "label": "maintain", "question": "What is the x-axis label?" }, { "ground_truth_answer": "Upper-left", "label": "maintain", "question": "Where is the y-axis label positioned?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What orientation is the guide at x = 0?" }, { "ground_truth_answer": "0", "label": "maintain", "question": "What label is placed near the intersection for the x = 0 guide?" }, { "ground_truth_answer": "Near the intersection", "label": "maintain", "question": "Where is the '0' label for the x = 0 guide placed?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What orientation is the guide at y = 0?" }, { "ground_truth_answer": "Near the intersection", "label": "maintain", "question": "Where is the '0' label for the y = 0 guide placed?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What orientation is the guide at x = 2?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "What is the top tick label on the y-axis?" }, { "ground_truth_answer": "It is a reference guide marking x = 2.", "label": "maintain", "question": "In the graph, what is the purpose of the faint vertical gray line located at the x-coordinate 2?" }, { "ground_truth_answer": "It denotes a reference tick value on the y-axis (the scale value 4).", "label": "maintain", "question": "On the left y-axis, the topmost tick is labeled '4'. What is the purpose of this label on the axis?" }, { "ground_truth_answer": "Upper-right boundary", "label": "maintain", "question": "Where within the plot is the point (2,4) located?" }, { "ground_truth_answer": "Steeper", "label": "editing", "question": "Compared to a 45° line, how is the line's steepness?" } ]
math
Modify the single blue line so its slope increases, making it steeper while still passing through the origin.
[ { "ground_truth_answer": "Geometric line diagram", "label": "maintain", "question": "Classify the image by type: it consists only of magenta straight line segments forming shapes and a vertical line, labeled B, D, K, I, and R on a white background. What type of image is this?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a vertical magenta line?" }, { "ground_truth_answer": "Right", "label": "editing", "question": "Where is the vertical line located?" }, { "ground_truth_answer": "K", "label": "maintain", "question": "Which label is slightly below I on the vertical line?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which label is at mid-height on the vertical line?" }, { "ground_truth_answer": "R", "label": "maintain", "question": "Which label is near the bottom of the vertical line?" }, { "ground_truth_answer": "Rhombus", "label": "editing", "question": "What shape is attached at D?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is the rhombus tilted?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which label marks the rhombus’s left vertex?" }, { "ground_truth_answer": "On the same vertical line", "label": "maintain", "question": "Where does the rhombus’s lower-right vertex lie relative to the vertical line through D?" }, { "ground_truth_answer": "Upper-left side", "label": "maintain", "question": "In the diagram, a short magenta ray starts to the left of the vertical IR line near point K and points up-right, intersecting the magenta rhombus. Which side of the rhombus’s boundary does this ray cross (specifically, the side between the top vertex and the left vertex B)?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Considering only the magenta figure (ignore the black letter labels), are all magenta strokes straight line segments with no curves?" }, { "ground_truth_answer": "Magenta", "label": "editing", "question": "What color are all elements?" }, { "ground_truth_answer": "B, D, K, I, R", "label": "maintain", "question": "Which labels appear in the diagram?" }, { "ground_truth_answer": "Adjacent to each vertex.", "label": "maintain", "question": "For the letter labels B, I, K, D, and R in the image, how are they positioned relative to their corresponding magenta vertices: adjacent to each vertex or consistently to the right of each vertex?" } ]
math
Move the short slanted ray that starts at D so it slants up-left instead of up-right.
[ { "ground_truth_answer": "Partitioned phase-region diagram", "label": "maintain", "question": "What type of diagram is shown?" }, { "ground_truth_answer": "White", "label": "editing", "question": "In the plot, what is the color of the thin vertical boundary line that separates the blue region on the left from the red region on the right (around τ ≈ 500)?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Relative to the τ=500 tick, where is the boundary positioned?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "On which side is the μ-axis?" }, { "ground_truth_answer": "S2", "label": "maintain", "question": "What is the second label from the bottom on the μ-axis?" }, { "ground_truth_answer": "T2", "label": "maintain", "question": "What is the fourth label from the bottom on the μ-axis?" }, { "ground_truth_answer": "Fs", "label": "maintain", "question": "On the left vertical axis labeled μ, what label is at the highest horizontal tick mark inside the plotting area (the line just below the top border)?" }, { "ground_truth_answer": "Dashed horizontal line.", "label": "maintain", "question": "What is the line style of the horizontal guide line at the y-axis tick labeled \"T1\"?" }, { "ground_truth_answer": "Solid black horizontal line", "label": "maintain", "question": "What marks Fs near the top?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "In the legend, what color represents Ft?" }, { "ground_truth_answer": "Cyan", "label": "maintain", "question": "In the legend, what color represents Fs?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "In the legend, what color represents S2?" }, { "ground_truth_answer": "−7.77", "label": "maintain", "question": "What numeric annotation appears at the bottom-right along the right edge outside the plot area?" }, { "ground_truth_answer": "Outside along the right edge", "label": "maintain", "question": "Where do the numeric annotations appear relative to the plot area?" } ]
math
Move the vertical boundary between the blue and red shaded regions leftward so it occurs earlier along the τ-axis.
[ { "ground_truth_answer": "Cartesian coordinate system", "label": "maintain", "question": "In the figure titled 'Quadrilateral ABCD,' the points A, B, C, and D are plotted on perpendicular X and Y axes with gridlines. What coordinate system is this plot drawn on?" }, { "ground_truth_answer": "Quadrilateral ABCD", "label": "maintain", "question": "What is the title of the plot?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are grid lines visible?" }, { "ground_truth_answer": "X-axis", "label": "maintain", "question": "Which axis is horizontal?" }, { "ground_truth_answer": "-1", "label": "maintain", "question": "What is the x-axis minimum value?" }, { "ground_truth_answer": "-1.0", "label": "maintain", "question": "What is the y-axis minimum value?" }, { "ground_truth_answer": "3.0", "label": "maintain", "question": "What is the y-axis maximum value?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis include tick label -1?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis include tick label 0?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis include tick label 1?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis include tick label 2?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis include tick label 3?" }, { "ground_truth_answer": "0.5", "label": "maintain", "question": "What is the y-axis tick interval?" }, { "ground_truth_answer": "-1.0", "label": "maintain", "question": "What is the minimum y-axis tick label shown?" }, { "ground_truth_answer": "Quadrilateral", "label": "editing", "question": "What geometric figure is formed by A, B, C, D?" }, { "ground_truth_answer": "(2, 0)", "label": "maintain", "question": "What are the coordinates of vertex B?" }, { "ground_truth_answer": "(3, 3)", "label": "editing", "question": "What are the coordinates of vertex C?" }, { "ground_truth_answer": "(1, 2)", "label": "maintain", "question": "What are the coordinates of vertex D?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which vertex follows A in the connection order?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which vertex follows C in the connection order?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of segment AB?" }, { "ground_truth_answer": "0", "label": "maintain", "question": "Along which y-value does segment AB lie?" }, { "ground_truth_answer": "0 to 2", "label": "maintain", "question": "Over what x-range does segment AB extend?" }, { "ground_truth_answer": "(2, 0) to (3, 3)", "label": "editing", "question": "On the coordinate graph titled \"Quadrilateral ABCD,\" what are the coordinates of the endpoints of segment BC? Provide them in order from B to C as \"(x1, y1) to (x2, y2).\"" }, { "ground_truth_answer": "Down-left", "label": "editing", "question": "For the line segment connecting points C and D, when traversing from C (the top-right vertex) to D (the upper-left vertex), in which direction does the segment go?" }, { "ground_truth_answer": "Ascends", "label": "maintain", "question": "For the line segment connecting point A at (0,0) to point D at (1,2), as you move from A to D (increasing x), does the segment ascend or descend?" }, { "ground_truth_answer": "DC", "label": "maintain", "question": "Which side is the upper side of the quadrilateral?" }, { "ground_truth_answer": "No", "label": "editing", "question": "Is side DC level?" }, { "ground_truth_answer": "C", "label": "editing", "question": "Toward which vertex does the top edge slant upward?" } ]
math
Move the labeled point C vertically upward so the top edge is no longer level with D, making the upper side slant upward to the right.
[ { "ground_truth_answer": "Geometric network diagram", "label": "maintain", "question": "What type of diagram is depicted, showing three labeled nodes A, B, and C inside circles, with straight lines connecting each pair to form a triangle?" }, { "ground_truth_answer": "Lower-left", "label": "maintain", "question": "Where is node B relative to the diagram center?" }, { "ground_truth_answer": "Largest.", "label": "editing", "question": "Relative to the other two circles, what is the size of the circle labeled C—smallest, largest, or the same size—when comparing their diameters?" }, { "ground_truth_answer": "C", "label": "editing", "question": "Which circle has the largest radius?" }, { "ground_truth_answer": "Upper-right", "label": "editing", "question": "Where is A's outside label located relative to its circle?" }, { "ground_truth_answer": "Larger", "label": "editing", "question": "How does C's circle size compare to A's and B's?" } ]
math
Enlarge the circle around node C while leaving A and B unchanged.
[ { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of the bases?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "How many legs does the trapezoid have?" }, { "ground_truth_answer": "Slanted", "label": "maintain", "question": "What is the orientation of the legs?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "What color are the markers?" }, { "ground_truth_answer": "Circular", "label": "maintain", "question": "What shape are the markers?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "How many additional markers beyond the vertices are present?" }, { "ground_truth_answer": "5", "label": "maintain", "question": "What is the total number of red markers?" }, { "ground_truth_answer": "Top base", "label": "maintain", "question": "Which base is shorter?" }, { "ground_truth_answer": "2", "label": "editing", "question": "What number labels the top base?" }, { "ground_truth_answer": "Centered above the bottom base’s midpoint.", "label": "maintain", "question": "Relative to the long blue base labeled 7 at the bottom, how is the short blue top base labeled 2 positioned horizontally?" }, { "ground_truth_answer": "5", "label": "maintain", "question": "What number labels the left slanted leg?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is the 5 label placed relative to the left slanted leg?" }, { "ground_truth_answer": "From base 7 (bottom) to base 2 (top).", "label": "editing", "question": "In the trapezoid, the top base is labeled 2 and the bottom base is labeled 7. The two slanted legs get closer together as they rise. State the direction of this convergence as 'from [base] to [base].'" } ]
math
Replace the numeral labeling the top base from “1” to “2”.
[ { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color are the point labels?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the line style of the black segments outlining the figure that connects the labeled points (A1, B, C, D, E, F): solid, dashed, or dotted?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which point at the right is connected to A1 by a straight line?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "Which point at the upper left is connected to A1 by a straight line?" }, { "ground_truth_answer": "Right-hand side", "label": "maintain", "question": "Where is triangle A1–D–F located?" }, { "ground_truth_answer": "90°", "label": "editing", "question": "What is the measure of ∠A1DF?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is the right-angle square at D?" }, { "ground_truth_answer": "Small", "label": "maintain", "question": "At the vertex labeled D on the right side of the figure, a blue square marks a right angle. Is this square drawn small or large?" }, { "ground_truth_answer": "A1, E, F", "label": "maintain", "question": "Which three labeled points are the vertices of the triangular region immediately to the left of the segment A1–F (the region bounded by A1–E, E–F, and F–A1)?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are E, C, and B collinear?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there an additional slanted segment from the left vertical to F?" }, { "ground_truth_answer": "Slanted", "label": "maintain", "question": "In the figure, consider the interior line segment that starts on the left vertical edge between the labels E and C and ends at point F. What is the orientation of this segment?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is label A1?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is label B?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is label C?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is label F?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the geometric edges?" } ]
math
Move the dashed line so it connects point E to point C rather than to point D.
[ { "ground_truth_answer": "C", "label": "maintain", "question": "Which vertex is the apex?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "On which segment does point D lie?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Which side of the triangle is the left side?" }, { "ground_truth_answer": "CB", "label": "maintain", "question": "Which side of the triangle is the right side?" }, { "ground_truth_answer": "P", "label": "maintain", "question": "At what point does DP meet AC?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "On which side does point P lie?" }, { "ground_truth_answer": "DE", "label": "maintain", "question": "Which segment from D meets side CB?" }, { "ground_truth_answer": "Up-right", "label": "maintain", "question": "In which direction does DE rise from D?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "At what point does DE meet CB?" }, { "ground_truth_answer": "More steeply up-right", "label": "editing", "question": "Relative to DE, how does the F segment's direction compare?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Where is A′ located relative to E?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are all diagram elements?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is the label A present?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is the label C present?" } ]
math
Rotate the shorter segment from D toward the right side so it points more upward along the triangle’s right edge.
[ { "ground_truth_answer": "Black on white", "label": "maintain", "question": "What is the color scheme?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "How many vertical segments are shown?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Which vertical segment is shorter?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Which vertical segment is taller?" }, { "ground_truth_answer": "8 cm", "label": "maintain", "question": "What label appears at mid-height on the right vertical segment?" }, { "ground_truth_answer": "Small", "label": "maintain", "question": "Between the options 'small' and 'large', which best describes the size of the arrowheads at the tops of the two central vertical lines in the diagram?" }, { "ground_truth_answer": "12 cm", "label": "editing", "question": "What is the top label text?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the lower dimension line overlap?" }, { "ground_truth_answer": "20 cm", "label": "maintain", "question": "What is the bottom label text?" }, { "ground_truth_answer": "12 cm", "label": "editing", "question": "What horizontal span is indicated at the top?" }, { "ground_truth_answer": "20 cm", "label": "maintain", "question": "What horizontal span is indicated at the bottom?" }, { "ground_truth_answer": "Bottom", "label": "maintain", "question": "Which horizontal span is larger, top or bottom?" }, { "ground_truth_answer": "6 cm", "label": "maintain", "question": "What is the left vertical extent?" } ]
math
Replace the top-edge measurement text “10 cm” with “12 cm”.
[ { "ground_truth_answer": "Square lattice", "label": "maintain", "question": "What does the plot show?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color is the axes box?" }, { "ground_truth_answer": "Centered below", "label": "maintain", "question": "Where is the x-axis label positioned?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is the y-axis label positioned?" }, { "ground_truth_answer": "5", "label": "maintain", "question": "What is the maximum x-axis tick label?" }, { "ground_truth_answer": "−1", "label": "maintain", "question": "What is the minimum y-axis tick label?" }, { "ground_truth_answer": "5", "label": "maintain", "question": "What is the maximum y-axis tick label?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color is the grid?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "What is the grid spacing along x?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "What is the grid spacing along y?" }, { "ground_truth_answer": "0", "label": "maintain", "question": "What is the x-coordinate of the grid’s lower-left corner?" }, { "ground_truth_answer": "0", "label": "maintain", "question": "What is the y-coordinate of the grid’s lower-left corner?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a vertical grid line at x=0?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a vertical grid line at x=1?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a vertical grid line at x=2?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a vertical grid line at x=3?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a vertical grid line at x=4?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a right outer border?" }, { "ground_truth_answer": "1 unit", "label": "maintain", "question": "How far beyond x=5 is the right outer border positioned?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a horizontal grid line at y=1?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a horizontal grid line at y=3?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a horizontal grid line at y=4?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Does the outer frame extend beyond the tick range on the top?" } ]
math
Expand the grid so that it contains one additional row and one additional column, enlarging the outer frame accordingly.
[ { "ground_truth_answer": "2", "label": "maintain", "question": "Considering only the triangles formed by the outer boundary lines (the triangle PAB above segment AB and the triangle ABC below AB) and ignoring all interior lines and the circle, how many triangles does the outline consist of?" }, { "ground_truth_answer": "PAB", "label": "maintain", "question": "Which triangle lies above AB?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is point A along AB?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Where is point B along AB?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is PA an outer edge of the figure?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is BC an outer edge of the figure?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "How is segment ε drawn?" }, { "ground_truth_answer": "H", "label": "maintain", "question": "Which point lies above O₁ on ε?" }, { "ground_truth_answer": "Smaller than AB.", "label": "maintain", "question": "In the diagram, compare the radius of the circle centered at O1 to the length of segment AB (the horizontal segment between points A and B): is the radius larger than, equal to, or smaller than AB?" }, { "ground_truth_answer": "O₁", "label": "editing", "question": "Where is the circle centered?" }, { "ground_truth_answer": "Above", "label": "editing", "question": "Where is the circle located relative to C?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Does θ lie on PC?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Does θ lie on the circle?" }, { "ground_truth_answer": "Circumference", "label": "maintain", "question": "On which part of the circle does θ lie?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is label P visible?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is label A visible?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is label C visible?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is label ε visible?" } ]
math
Shrink the circle centered at O so it becomes smaller while remaining concentric.
[ { "ground_truth_answer": "Vector diagram", "label": "maintain", "question": "What type of diagram is shown?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the line style of these arrows?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are these arrows?" }, { "ground_truth_answer": "Steeper", "label": "maintain", "question": "How does the shorter arrow's inclination compare to the longer arrow?" }, { "ground_truth_answer": "Longer arrow and x-axis", "label": "maintain", "question": "Between which elements is angle θ defined?" }, { "ground_truth_answer": "Near origin", "label": "maintain", "question": "Where is the θ annotation placed?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "What label marks the tip of the longer arrow?" }, { "ground_truth_answer": "Two", "label": "maintain", "question": "How many dashed lines pass through A?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Through which point does this horizontal dashed line pass?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Through which point does this vertical dashed line pass?" }, { "ground_truth_answer": "ã", "label": "editing", "question": "What annotation is on the vertical dashed line through A?" }, { "ground_truth_answer": "Decreases", "label": "maintain", "question": "How does A's x-coordinate change when moving left along the horizontal dashed line?" } ]
math
Move point A leftward along the horizontal dashed line to reduce its x-coordinate while keeping its height unchanged.
[ { "ground_truth_answer": "Rectangle", "label": "maintain", "question": "What is the main shape depicted?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the rectangle's orientation?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What is the color of the drawing lines?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "Shorter", "label": "maintain", "question": "What is the relative length of the second slanted segment compared to the CA diagonal?" }, { "ground_truth_answer": "Inside", "label": "editing", "question": "Where is the starting point of the second slanted segment located relative to the rectangle?" } ]
math
Raise the left end of the lower slanted line slightly upward so it intersects the rectangle’s interior higher above the bottom edge.
[ { "ground_truth_answer": "Say Immigrants in the U.S. Are Making Crime, the Economy Worse, but Food, Music and the Arts Ar,", "label": "maintain", "question": "What is the title of the chart?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many x-axis categories are shown?" }, { "ground_truth_answer": "Social and moral values", "label": "maintain", "question": "What is the second x-axis category?" }, { "ground_truth_answer": "Food, music, and the arts", "label": "maintain", "question": "What is the fourth x-axis category?" }, { "ground_truth_answer": "% saying immigrants in the United States are making things …", "label": "editing", "question": "What does the y-axis label say?" }, { "ground_truth_answer": "100", "label": "maintain", "question": "What is the y-axis maximum value?" }, { "ground_truth_answer": "3", "label": "maintain", "question": "How many segments does each bar have?" }, { "ground_truth_answer": "Worse", "label": "maintain", "question": "What label is the bottom segment?" }, { "ground_truth_answer": "Blue", "label": "editing", "question": "What color is the middle segment?" }, { "ground_truth_answer": "Better", "label": "maintain", "question": "What label is the middle segment?" }, { "ground_truth_answer": "Orange", "label": "maintain", "question": "What color is the top segment?" }, { "ground_truth_answer": "Yellow", "label": "maintain", "question": "What color is directly below the \"Better\" band?" }, { "ground_truth_answer": "Orange", "label": "maintain", "question": "What color is directly above the \"Better\" band?" }, { "ground_truth_answer": "~50%", "label": "maintain", "question": "Approximately what share of the Crime bar is Worse (yellow)?" }, { "ground_truth_answer": "~28-30%", "label": "maintain", "question": "Approximately what share of the Crime bar is Better (blue)?" }, { "ground_truth_answer": "~20%", "label": "maintain", "question": "Approximately what share of the Crime bar is Not much effect (orange)?" }, { "ground_truth_answer": "~50%", "label": "maintain", "question": "Approximately what share of the Social and moral values bar is Worse (yellow)?" }, { "ground_truth_answer": "~30-32%", "label": "maintain", "question": "Approximately what share of the Social and moral values bar is Not much effect (orange)?" }, { "ground_truth_answer": "~30-32%", "label": "maintain", "question": "Approximately what share of the Science and technology bar is Better (blue)?" }, { "ground_truth_answer": "~56-58%", "label": "maintain", "question": "Approximately what share of the Science and technology bar is Not much effect (orange)?" }, { "ground_truth_answer": "~11-12%", "label": "maintain", "question": "Approximately what share of the Food, music, and the arts bar is Worse (yellow)?" }, { "ground_truth_answer": "~48-50%", "label": "maintain", "question": "Approximately what share of the Food, music, and the arts bar is Better (blue)?" }, { "ground_truth_answer": "~38-40%", "label": "maintain", "question": "Approximately what share of the Food, music, and the arts bar is Not much effect (orange)?" } ]
math
Recolor the middle stacked segment in each bar from brown to blue.
[ { "ground_truth_answer": "G", "label": "maintain", "question": "At what point do AC and BD intersect?" }, { "ground_truth_answer": "center", "label": "maintain", "question": "Where is G located in the square?" }, { "ground_truth_answer": "bold", "label": "editing", "question": "How is label G styled?" }, { "ground_truth_answer": "G", "label": "maintain", "question": "Where do the triangular regions meet?" }, { "ground_truth_answer": "different gray intensities", "label": "maintain", "question": "How are the triangular regions shaded?" }, { "ground_truth_answer": "upper left", "label": "maintain", "question": "Where is vertex D located?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which edge is the bottom edge?" } ]
math
Make the central point label “G” appear bold to emphasize the square’s center.
[ { "ground_truth_answer": "Geometric diagram", "label": "maintain", "question": "The image shows labeled points A, B, C, and D connected by straight line segments, including a dashed segment from D to B. Which category best describes this image: a geometric diagram, a photograph, or a map?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many vertices does the polygon have?" }, { "ground_truth_answer": "Quadrilateral", "label": "maintain", "question": "What type of polygon is depicted?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the lines?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many segments form the outer boundary?" }, { "ground_truth_answer": "D–A", "label": "maintain", "question": "Considering only the solid outer edges of the polygon, if you traverse the boundary in order A → B → C → D, which segment connects D back to the start to close the shape?" }, { "ground_truth_answer": "Down-left", "label": "editing", "question": "What is the slope direction of segment D–A?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "What is the label of the lower-left vertex?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "Are the outer boundary segments solid or dashed?" }, { "ground_truth_answer": "B", "label": "editing", "question": "To which vertex does the interior diagonal go?" }, { "ground_truth_answer": "Down-right", "label": "editing", "question": "What is the slant direction of the interior diagonal?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "Into how many triangles does the diagonal partition the quadrilateral?" }, { "ground_truth_answer": "BCD", "label": "editing", "question": "What are the vertices of the other triangle formed by the diagonal?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the labels?" } ]
math
Replace the current dashed diagonal so it runs between points B and D instead of A and D.
[ { "ground_truth_answer": "Cartesian coordinate diagram", "label": "editing", "question": "What type of diagram is shown?" }, { "ground_truth_answer": "y-axis", "label": "maintain", "question": "Which axis is vertical?" }, { "ground_truth_answer": "light gray", "label": "maintain", "question": "What color is the x-axis?" }, { "ground_truth_answer": "light gray", "label": "maintain", "question": "What color is the y-axis?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Do the axes have arrowheads?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What label marks the axes' intersection?" }, { "ground_truth_answer": "straight", "label": "maintain", "question": "Is the line straight or curved?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What is the line color?" }, { "ground_truth_answer": "downward", "label": "editing", "question": "From left to right, does the line go upward or downward?" }, { "ground_truth_answer": "negative", "label": "editing", "question": "What is the sign of the line's slope?" }, { "ground_truth_answer": "quadrant IV", "label": "editing", "question": "In which quadrant is the line in the lower-right region?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the line cross the x-axis?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the line cross the y-axis?" }, { "ground_truth_answer": "right end of the horizontal axis", "label": "maintain", "question": "Where is the x label positioned?" }, { "ground_truth_answer": "top of the vertical axis", "label": "maintain", "question": "Where is the y label positioned?" } ]
math
Flip the single black line so it slopes downward from left to right while still intersecting both axes.
[ { "ground_truth_answer": "yes", "label": "maintain", "question": "Is the plot annotated?" }, { "ground_truth_answer": "square", "label": "maintain", "question": "What shape is the frame?" }, { "ground_truth_answer": "y", "label": "maintain", "question": "What label is on the vertical axis?" }, { "ground_truth_answer": "up", "label": "maintain", "question": "In which direction does the y-axis point?" }, { "ground_truth_answer": "upper right", "label": "maintain", "question": "Where is the legend located?" }, { "ground_truth_answer": "y = −x", "label": "maintain", "question": "Which equation in the legend is shown in red?" }, { "ground_truth_answer": "small open circle", "label": "maintain", "question": "How is the parabola’s vertex marked?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What label is at the parabola’s vertex?" }, { "ground_truth_answer": "low", "label": "maintain", "question": "Where is the vertex vertically within the frame?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which point on the parabola is higher on the right branch?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which labeled point on the blue curve y = x^2 lies exactly on the gray horizontal dashed line near the top of the plot?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What orientation is the dashed guide that passes through D?" }, { "ground_truth_answer": "P", "label": "maintain", "question": "At which point do the vertical and horizontal dashed guides cross?" }, { "ground_truth_answer": "steep", "label": "maintain", "question": "Qualitatively, is the slope of the red line labeled “y = −x” depicted as steep or shallow?" }, { "ground_truth_answer": "Top edge, near the left corner.", "label": "editing", "question": "Which border of the plot frame does the red line labeled 'y = −x' intersect at its upper end?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "What label marks the region right of the parabola?" } ]
math
Steepen the red line so it tilts more downward from left to right while keeping the blue parabola unchanged.
[ { "ground_truth_answer": "Pentagon", "label": "maintain", "question": "Which label appears in the upper-left quadrant?" }, { "ground_truth_answer": "above", "label": "maintain", "question": "Where is the \"Pentagon\" label relative to its shape?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many sides does the diamond under \"Pentagon\" have?" }, { "ground_truth_answer": "Rectangle", "label": "editing", "question": "Which label is centered above an upright rectangular outline?" }, { "ground_truth_answer": "upper third", "label": "editing", "question": "Divide the image height into three equal horizontal bands: top, middle, and bottom. Looking at the black-outlined shape labeled \"Rectangle,\" in which band does the center of this rectangle lie?" }, { "ground_truth_answer": "clear white gap", "label": "maintain", "question": "What separates the diamond and rectangle laterally?" }, { "ground_truth_answer": "Square", "label": "maintain", "question": "Which label captions the lower-right square?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color are the shapes' outlines?" } ]
math
Enlarge the rectangle so it becomes visibly bigger while keeping its center in the same place.
[ { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of BC?" }, { "ground_truth_answer": "apex", "label": "maintain", "question": "What is A's role in the triangle?" }, { "ground_truth_answer": "solid", "label": "maintain", "question": "What is the line style of side AB?" }, { "ground_truth_answer": "slanted", "label": "maintain", "question": "What is the orientation type of AB?" }, { "ground_truth_answer": "down-right", "label": "maintain", "question": "From A toward C, in which direction does AC go?" }, { "ground_truth_answer": "B and C", "label": "maintain", "question": "Between which points does D lie on BC?" }, { "ground_truth_answer": "AC", "label": "editing", "question": "On which side does point E lie?" }, { "ground_truth_answer": "ADE", "label": "maintain", "question": "What triangle is formed by the dashed black segments?" }, { "ground_truth_answer": "A and D", "label": "maintain", "question": "Which points does AD connect?" }, { "ground_truth_answer": "dashed black", "label": "maintain", "question": "What is the line style and color of DE?" }, { "ground_truth_answer": "D and E", "label": "maintain", "question": "Which points does DE connect?" }, { "ground_truth_answer": "A and E", "label": "maintain", "question": "Which points does AE connect?" }, { "ground_truth_answer": "downward", "label": "maintain", "question": "In the shown triangle ABC with horizontal base BC, point E lies on the right slanted side AC. As you move from point A to point E along segment AE, is the vertical direction of motion upward or downward relative to the page?" } ]
math
Move point E along the right slanted side from A toward C so the dashed segment AE lies on that side.
[ { "ground_truth_answer": "Class a", "label": "maintain", "question": "What class is indicated by a black circle in the legend?" }, { "ground_truth_answer": "Class c", "label": "editing", "question": "What class is indicated by a red triangle in the legend?" }, { "ground_truth_answer": "0.0", "label": "maintain", "question": "What is the x-axis minimum?" }, { "ground_truth_answer": "1.0", "label": "maintain", "question": "What is the x-axis maximum?" }, { "ground_truth_answer": "0.0", "label": "maintain", "question": "What is the y-axis minimum?" }, { "ground_truth_answer": "9", "label": "maintain", "question": "How many black circular markers are plotted?" }, { "ground_truth_answer": "0.5", "label": "maintain", "question": "What is the approximate y of the black circle at x ≈ 0.1?" }, { "ground_truth_answer": "0.6", "label": "maintain", "question": "What is the approximate y of the black circle at x ≈ 0.2?" }, { "ground_truth_answer": "0.4", "label": "maintain", "question": "What is the approximate y of the black circle at x ≈ 0.3?" }, { "ground_truth_answer": "0.7", "label": "maintain", "question": "What is the approximate y of the black circle at x ≈ 0.4?" }, { "ground_truth_answer": "0.8", "label": "maintain", "question": "What is the approximate y of the black circle at x ≈ 0.7?" }, { "ground_truth_answer": "0.1", "label": "maintain", "question": "What is the approximate y of the black circle at x ≈ 0.8?" }, { "ground_truth_answer": "0.9", "label": "maintain", "question": "What is the approximate y of the black circle at x ≈ 0.9?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Do several black circles have an 'a' annotation near them?" }, { "ground_truth_answer": "1", "label": "editing", "question": "How many red triangle markers are plotted?" }, { "ground_truth_answer": "(0.5, 0.5)", "label": "editing", "question": "What are the approximate coordinates of the red triangle?" }, { "ground_truth_answer": "Yes.", "label": "maintain", "question": "Do the plotted data points extend across the x-axis from x=0.1 to x=0.9 (i.e., include points at both x=0.1 and x=0.9)?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Across all plotted markers (black circles and the red triangle), do the points include both extremes of their observed y-values—that is, at y=0.1 (lowest plotted) and at y=0.9 (highest plotted)?" } ]
math
Replace the single green star point with a red triangle at the same location.
[ { "ground_truth_answer": "Geometric diagram", "label": "maintain", "question": "What type of image is described?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are there multiple labeled segments and points?" }, { "ground_truth_answer": "Upper right", "label": "editing", "question": "Where is the horizontal line located?" }, { "ground_truth_answer": "F", "label": "maintain", "question": "From which point does a short slanted segment go up-right to D?" }, { "ground_truth_answer": "Quadrilateral", "label": "maintain", "question": "What shape do points D, B, E, F form?" }, { "ground_truth_answer": "D–B–E–F", "label": "maintain", "question": "In what vertex order is that quadrilateral described?" }, { "ground_truth_answer": "Near label H", "label": "maintain", "question": "Where does this polyline start?" }, { "ground_truth_answer": "−8", "label": "editing", "question": "What text does the slanted leg pass?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "After N, what is the orientation of the polyline segment?" }, { "ground_truth_answer": "(−6, −4)", "label": "maintain", "question": "What annotation is shown at point N?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "Which label sits near the center of the page?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "What numeral appears centered near the top?" } ]
math
Move point C vertically up so the slanted segment from B to C rises instead of descends.
[ { "ground_truth_answer": "x-axis", "label": "maintain", "question": "On which axis does label M appear?" }, { "ground_truth_answer": "Just left", "label": "maintain", "question": "Where is M relative to A on the x-axis?" }, { "ground_truth_answer": "y-axis", "label": "maintain", "question": "From which axis does the horizontal segment begin?" }, { "ground_truth_answer": "x-axis", "label": "editing", "question": "From where does the vertical segment rise?" }, { "ground_truth_answer": "The top horizontal segment at y = N.", "label": "editing", "question": "In the diagram, which specific feature contains point P: the top horizontal segment at the height labeled N or the slanted line that crosses both axes?" }, { "ground_truth_answer": "Steep", "label": "editing", "question": "For the single diagonal line that runs from the upper-left to the lower-right across the x–y axes, is its inclination best described as 'steep' or 'shallow'?" } ]
math
Make the slanted line steeper so it drops more quickly from left to right while keeping its y-intercept fixed.
[ { "ground_truth_answer": "AD and BC", "label": "maintain", "question": "Which sides are the bases of trapezoid ABCD?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of base AD?" }, { "ground_truth_answer": "A to D", "label": "maintain", "question": "From which point to which does AD run?" }, { "ground_truth_answer": "upper-right", "label": "maintain", "question": "Where is point D located?" }, { "ground_truth_answer": "Up-left", "label": "maintain", "question": "In quadrilateral ABCD, focus on side CD (the right edge). When moving from point C at the bottom-right corner to point D near the top edge, in which direction does the segment slant?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "In the diagram, consider segment EF—the solid line at the far left connecting point E (at the left end of the dashed segment EA) straight down to point F on the bottom base BC. What is the orientation of segment EF?" }, { "ground_truth_answer": "Perpendicular to BC.", "label": "maintain", "question": "In the diagram, segment EF is the vertical segment from point E down to point F where it meets the bottom edge BC. What is the geometric relationship of EF to line BC?" }, { "ground_truth_answer": "E and A", "label": "maintain", "question": "Which points does segment EA connect?" }, { "ground_truth_answer": "B and F", "label": "maintain", "question": "Which points does segment BF connect?" }, { "ground_truth_answer": "solid", "label": "editing", "question": "What is the line style of EF?" }, { "ground_truth_answer": "F", "label": "maintain", "question": "Near which point does the glyph appear?" } ]
math
Convert the vertical dashed line from E down to G into a solid line.
[ { "ground_truth_answer": "thick", "label": "maintain", "question": "What is the line weight of the triangle's sides?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which side is the triangle's base?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Which side is the right slanted side?" }, { "ground_truth_answer": "1", "label": "editing", "question": "In triangle ABC shown, excluding the vertices A, B, and C, how many marked black points lie on the sides AB, BC, or AC?" }, { "ground_truth_answer": "As a small filled black dot.", "label": "maintain", "question": "How is the point located on the triangle’s side AC (labeled Q) visually marked?" }, { "ground_truth_answer": "No side; P is inside the triangle.", "label": "editing", "question": "In triangle ABC (AB is the left slanted side, BC the horizontal base, AC the right slanted side), on which side—AB, BC, or AC—does point P lie?" }, { "ground_truth_answer": "A and C", "label": "maintain", "question": "Between which vertices does Q lie?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" } ]
math
Move point P upward along side AB so it sits closer to A (at one-quarter of the segment from B to A).
[ { "ground_truth_answer": "2D Cartesian line plot", "label": "maintain", "question": "What type of plot is shown?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "How many decreasing curves are shown?" }, { "ground_truth_answer": "y = m/x", "label": "maintain", "question": "Which curve is blue?" }, { "ground_truth_answer": "y = k/x", "label": "editing", "question": "Which curve is orange?" }, { "ground_truth_answer": "(1, 1)", "label": "maintain", "question": "Near what point do the two curves intersect?" }, { "ground_truth_answer": "3.5", "label": "maintain", "question": "What is the approximate x-axis maximum?" }, { "ground_truth_answer": "1.5", "label": "maintain", "question": "What is the x-value of the gray dashed vertical line?" }, { "ground_truth_answer": "(2.0, 1.0)", "label": "maintain", "question": "What are the approximate coordinates of point A?" }, { "ground_truth_answer": "filled", "label": "editing", "question": "Is point A filled or open?" }, { "ground_truth_answer": "(1.5, 2.0)", "label": "maintain", "question": "What are the coordinates of point B?" }, { "ground_truth_answer": "filled", "label": "maintain", "question": "Is point B filled or open?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is the point at (1.5, 1.0)?" }, { "ground_truth_answer": "open circle", "label": "editing", "question": "What marker shape is used for the point labeled 'O' at the lower-left of the plot near x=0, y=0?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What is the label of the open circle near the origin?" }, { "ground_truth_answer": "below", "label": "maintain", "question": "At x = 1.5, are both curves above or below y = 1.5?" }, { "ground_truth_answer": "right", "label": "maintain", "question": "Relative to x = 1.5, is point A left or right?" } ]
math
Lower the dashed horizontal reference line so it passes through y = 1.5 instead of y = 2.
[ { "ground_truth_answer": "title", "label": "maintain", "question": "What is the chart title?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is the title centered horizontally?" }, { "ground_truth_answer": "axis label", "label": "maintain", "question": "What is the x-axis label?" }, { "ground_truth_answer": "100", "label": "maintain", "question": "What is the maximum x-axis value?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis have a tick at 20?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis have a tick at 40?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the x-axis have a tick at 80?" }, { "ground_truth_answer": "yaxis label", "label": "maintain", "question": "What is the y-axis label?" }, { "ground_truth_answer": "72", "label": "maintain", "question": "What is the maximum y-axis value?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the y-axis have a tick at 62?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the y-axis have a tick at 64?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Does the y-axis have a tick at 66?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the y-axis have a tick at 72?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is Seafoam listed in the legend?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is Steel Blue listed in the legend?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is Firebrick listed in the legend?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is Light Green listed in the legend?" }, { "ground_truth_answer": "rise", "label": "editing", "question": "From left to right, does the violet line rise or fall?" }, { "ground_truth_answer": "≈67.5", "label": "maintain", "question": "Approximately what is the violet line's y at x=100?" }, { "ground_truth_answer": "≈30", "label": "editing", "question": "Near what x does the violet line cross y=64?" }, { "ground_truth_answer": "≈50", "label": "editing", "question": "Near what x does the violet line cross y=65?" }, { "ground_truth_answer": "≈70", "label": "editing", "question": "Near what x does the violet line cross y=66?" }, { "ground_truth_answer": "≈64", "label": "maintain", "question": "What is the y-value of the dark blue reference line?" }, { "ground_truth_answer": "dark blue", "label": "maintain", "question": "What color is the horizontal reference line that intersects the y-axis at 64 (the lowest colored horizontal line)?" }, { "ground_truth_answer": "≈65", "label": "maintain", "question": "What is the y-value of the light cyan reference line?" }, { "ground_truth_answer": "≈66", "label": "maintain", "question": "What is the y-value of the light green reference line?" }, { "ground_truth_answer": "light green", "label": "maintain", "question": "What color is the reference line at y≈66?" }, { "ground_truth_answer": "≈67", "label": "maintain", "question": "What is the y-value of the bright magenta reference line?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Do the gray vertical gridlines align exactly with the interior x‑axis tick marks labeled 20, 40, 60, and 80?" } ]
math
Modify the bottom violet horizontal line so it tilts upward from left to right, forming a gently rising line.
[ { "ground_truth_answer": "Geometric diagram.", "label": "maintain", "question": "The image shows a figure made of line segments forming triangle ABC with an interior point O connected by dashed lines. What general category of diagram is this (e.g., geometric, chart, flowchart)?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "In the diagram with triangle ABC and dashed segments BO and OC inside, how many triangles are formed using only the solid (non-dashed) edges?" }, { "ground_truth_answer": "Bottom", "label": "maintain", "question": "Where is BC located in the diagram?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "Which point is at the right endpoint of BC?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the line style of BC?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which side connects A to B?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Which side connects A to C?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the line style of AC?" }, { "ground_truth_answer": "Upward", "label": "maintain", "question": "Along segment AB in the triangle, if you move from point B (bottom-left) toward point A (top), does the segment slope upward or downward?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Which vertex is at the top?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "Which labeled interior point is shown?" }, { "ground_truth_answer": "Above the midpoint", "label": "maintain", "question": "Relative to BC, where is O approximately located?" }, { "ground_truth_answer": "Vertical through the base’s midpoint", "label": "maintain", "question": "On what line does O lie relative to BC?" }, { "ground_truth_answer": "A", "label": "editing", "question": "Which is O closer to, A or BC?" }, { "ground_truth_answer": "OC", "label": "maintain", "question": "Which segment connects C to O?" }, { "ground_truth_answer": "BOC", "label": "maintain", "question": "Which triangle is formed by BC, BO, and OC?" }, { "ground_truth_answer": "Inside triangle ABC", "label": "maintain", "question": "Where is triangle BOC located?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which side of triangle BOC is solid?" }, { "ground_truth_answer": "BO and OC", "label": "maintain", "question": "Which sides of triangle BOC are dashed?" }, { "ground_truth_answer": "Upward", "label": "maintain", "question": "In which direction does the apex O point relative to BC?" } ]
math
Move the interior point O vertically upward so the dashed triangle’s apex rises closer to vertex A while B and C remain fixed.
[ { "ground_truth_answer": "0", "label": "maintain", "question": "At what y-value is the x-axis drawn?" }, { "ground_truth_answer": "-2", "label": "maintain", "question": "What is the smallest x-axis tick label?" }, { "ground_truth_answer": "-2", "label": "maintain", "question": "What is the smallest y-axis tick label?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "What is the largest y-axis tick label?" }, { "ground_truth_answer": "blue", "label": "maintain", "question": "What color is the parabola?" }, { "ground_truth_answer": "yes", "label": "editing", "question": "Is the vertex above the x-axis?" }, { "ground_truth_answer": "yes", "label": "editing", "question": "Is the parabola entirely above y=0?" }, { "ground_truth_answer": "no", "label": "editing", "question": "Does the parabola intersect the x-axis?" }, { "ground_truth_answer": "2", "label": "editing", "question": "Approximately what is y on the curve near x=1?" }, { "ground_truth_answer": "2", "label": "editing", "question": "On the blue curve in the graph, what is the y-value at the vertical gridline x = −1?" }, { "ground_truth_answer": "(1, 0)", "label": "maintain", "question": "What are the coordinates of point A?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is point A on the x-axis?" }, { "ground_truth_answer": "(0, -1)", "label": "editing", "question": "What are the coordinates of point C?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Which point does C connect to via a dashed segment?" } ]
math
Move the blue parabola upward so it no longer crosses the x-axis, shifting its vertex from below the axis to above it.
[ { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is the outer loop?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the diagram include labeled vertices?" }, { "ground_truth_answer": "A, B, C, D, E, F", "label": "maintain", "question": "Which labels appear in the diagram?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which vertex marks the starting point of the loop description?" }, { "ground_truth_answer": "Upper-left", "label": "maintain", "question": "Where is vertex A located on the loop?" }, { "ground_truth_answer": "Above", "label": "maintain", "question": "Where is label A placed relative to its vertex?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Where is label D placed relative to its vertex?" }, { "ground_truth_answer": "Down-left", "label": "editing", "question": "From the far-right vertex, in which direction does the loop go?" }, { "ground_truth_answer": "F", "label": "maintain", "question": "Which label marks the lower-right vertex?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Where is label F placed relative to its vertex?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "In the outer blue polygon, a horizontal edge forms the bottom side from the bottom-right corner toward the left. What is the label of the vertex at the left end of this bottom horizontal edge?" }, { "ground_truth_answer": "Below", "label": "maintain", "question": "Where is label E placed relative to its vertex?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "To which vertex does the loop return?" }, { "ground_truth_answer": "A small blue dot.", "label": "maintain", "question": "In the diagram, a short horizontal blue segment extends leftward from point B. What is located at the leftmost end of this stub?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "From which vertex does the segment to C originate?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is point C?" }, { "ground_truth_answer": "No", "label": "maintain", "question": "Does the segment from B to C reach the far-right vertex?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "From which vertex does the short black interior segment emanate?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color is the interior segment from B inside the polygon?" }, { "ground_truth_answer": "Interior segments", "label": "maintain", "question": "Besides the outer loop, what additional elements are present?" } ]
math
Tilt the central horizontal segment slightly upward from left to right while keeping its endpoints near the same left and right vertices.
[ { "ground_truth_answer": "Top-right corner", "label": "editing", "question": "Where is the white sub-rectangle positioned?" }, { "ground_truth_answer": "Double-headed arrow", "label": "maintain", "question": "What type of arrow is located above the figure?" }, { "ground_truth_answer": "Horizontally", "label": "maintain", "question": "In what direction does the top arrow span?" }, { "ground_truth_answer": "The rectangle’s outer left vertical edge.", "label": "editing", "question": "In the diagram, the top horizontal double‑headed arrow labeled '3α' spans the figure. What feature does its left arrowhead touch?" }, { "ground_truth_answer": "3α", "label": "editing", "question": "What label is on the left vertical arrow?" }, { "ground_truth_answer": "Height", "label": "maintain", "question": "What does the 2b label indicate for the bottom strip?" }, { "ground_truth_answer": "Top outer border", "label": "editing", "question": "With which outer border is the white sub-rectangle flush on top?" }, { "ground_truth_answer": "Right outer border", "label": "maintain", "question": "With which outer border is the white sub-rectangle flush on the right?" }, { "ground_truth_answer": "Solid line", "label": "maintain", "question": "How is the bottom edge of the white sub-rectangle drawn?" } ]
math
Move the small white sub-rectangle from the bottom-right corner to the top-right corner while keeping its size unchanged.
[ { "ground_truth_answer": "Top-right", "label": "maintain", "question": "Where is point C on the rectangle?" }, { "ground_truth_answer": "Bottom-left", "label": "maintain", "question": "Where is point M on the rectangle?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of segment CP?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of segment PM?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of segment AM?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of diagonal AP?" }, { "ground_truth_answer": "MH", "label": "editing", "question": "Which segment does AP intersect?" }, { "ground_truth_answer": "Solid", "label": "editing", "question": "What is the style of segment MH?" }, { "ground_truth_answer": "Upward", "label": "maintain", "question": "From point M to point H, does the line segment MH rise or fall vertically?" }, { "ground_truth_answer": "Above the top side", "label": "maintain", "question": "Where is point H relative to the rectangle vertically?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is point D relative to H?" }, { "ground_truth_answer": "D and A", "label": "maintain", "question": "Which points are connected by segment DA?" }, { "ground_truth_answer": "AD", "label": "maintain", "question": "In the top triangle with vertices A, D, and H, on which side (segment) does point N lie?" }, { "ground_truth_answer": "N and C", "label": "editing", "question": "Which points are connected by the dashed segment?" } ]
math
Replace the single dashed line from N to P with a dashed line from N to C.
[ { "ground_truth_answer": "ABC", "label": "maintain", "question": "What is the name of the triangle?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "What label marks the top vertex?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is point P inside the triangle?" }, { "ground_truth_answer": "Vertically downward", "label": "editing", "question": "How is segment AP oriented from A to P?" }, { "ground_truth_answer": "Obliquely upward-right", "label": "maintain", "question": "How is segment BP oriented from B to P?" }, { "ground_truth_answer": "3", "label": "maintain", "question": "Into how many smaller triangles do AP, BP, and CP partition triangle ABC?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" } ]
math
Move the interior point P to the center of the triangle so that the three connecting lines meet at that central point.
[ { "ground_truth_answer": "white", "label": "editing", "question": "What is the rectangle's color?" }, { "ground_truth_answer": "thin", "label": "editing", "question": "How thick are the dividers?" }, { "ground_truth_answer": "light-gray", "label": "editing", "question": "What is the triangle's color?" }, { "ground_truth_answer": "isosceles", "label": "maintain", "question": "What type of trapezoid is in Panel 2?" }, { "ground_truth_answer": "light-gray", "label": "maintain", "question": "What is the circle's color?" }, { "ground_truth_answer": "right", "label": "editing", "question": "Toward which side of Panel 3 is the circle placed?" }, { "ground_truth_answer": "rightmost edge", "label": "editing", "question": "Which edge of the circle is nearly tangent to a divider?" }, { "ground_truth_answer": "far right", "label": "maintain", "question": "Where is Panel 4 located?" }, { "ground_truth_answer": "pentagon", "label": "maintain", "question": "What shape is in Panel 4?" }, { "ground_truth_answer": "just to the right", "label": "maintain", "question": "Relative to the divider between panels 3 and 4, where is the pentagon?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" } ]
math
Move the circle one panel-width to the right so it sits more centered in its section.
[ { "ground_truth_answer": "y-axis", "label": "maintain", "question": "Which axis is vertical?" }, { "ground_truth_answer": "origin", "label": "maintain", "question": "Where do the axes meet?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What label marks the origin?" }, { "ground_truth_answer": "x", "label": "maintain", "question": "On the coordinate diagram, which label is written at the arrowhead on the far right end of the horizontal axis?" }, { "ground_truth_answer": "y", "label": "maintain", "question": "Which label appears at the top end?" }, { "ground_truth_answer": "x-axis", "label": "maintain", "question": "On which axis is label A placed?" }, { "ground_truth_answer": "negative y-axis", "label": "maintain", "question": "In the coordinate plane shown, the gold label 'C' is written next to the vertical axis below the origin O. Which axis segment is it adjacent to?" }, { "ground_truth_answer": "1", "label": "editing", "question": "In the coordinate plane shown, how many distinct red curves are drawn (excluding the black x- and y-axes and any labels)?" }, { "ground_truth_answer": "smooth", "label": "maintain", "question": "What is the curve's smoothness?" }, { "ground_truth_answer": "lower-left (Quadrant III)", "label": "maintain", "question": "Immediately before the red curve intersects the x-axis at the point just to the left of the y-axis, which quadrant (relative to the origin O) is the curve coming from?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "After descending, which label is near this crossing?" }, { "ground_truth_answer": "lower-right", "label": "maintain", "question": "Looking at the rightmost end of the red curve (as x → +∞), toward which direction on the plane does it extend?" } ]
math
Recolor the single plotted curve from black to red while leaving axes and labels unchanged.
[ { "ground_truth_answer": "Geometric diagram", "label": "maintain", "question": "The image shows three line segments forming a triangle, with a 45° angle label and point A at the left endpoint of the base. What category of diagram is this: geometric diagram, statistical chart, or flowchart?" }, { "ground_truth_answer": "triangle", "label": "maintain", "question": "What shape is depicted?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of the base?" }, { "ground_truth_answer": "Left base vertex.", "label": "maintain", "question": "In the triangle shown, which vertex is marked by the blue dot: the left end of the horizontal base, the right end of the base, or the top vertex?" }, { "ground_truth_answer": "a small solid blue dot", "label": "maintain", "question": "At the left end of the triangle’s bottom side (next to the label 'A'), what graphical marker appears exactly on the vertex?" }, { "ground_truth_answer": "solid", "label": "maintain", "question": "What fill style is the dot marking the left base vertex?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is the label \"A\"?" }, { "ground_truth_answer": "just left", "label": "maintain", "question": "Where is the \"A\" label positioned relative to the vertex?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "From which point does one side rise up-right?" }, { "ground_truth_answer": "top vertex", "label": "maintain", "question": "To which vertex does the side from A connect?" }, { "ground_truth_answer": "right end of the base", "label": "maintain", "question": "To where does the descending side from the top vertex go?" }, { "ground_truth_answer": "inside", "label": "editing", "question": "Where is the 45° label located relative to the triangle?" }, { "ground_truth_answer": "left side", "label": "editing", "question": "The 45° label is near which side of the triangle?" }, { "ground_truth_answer": "just above", "label": "editing", "question": "Relative to the base, where is the 45° label positioned?" }, { "ground_truth_answer": "45°", "label": "editing", "question": "What is the measure of the interior angle at A?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color are the edges?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "How many distinct text items are visible?" }, { "ground_truth_answer": "no", "label": "editing", "question": "Besides \"A\" and \"45°\", is any other text visible?" } ]
math
Replace the angle annotation “60°” near vertex A with “45°”.
[ { "ground_truth_answer": "Thin", "label": "maintain", "question": "How thick is the polyline?" }, { "ground_truth_answer": "A0", "label": "editing", "question": "What label marks the apex of the first crest?" }, { "ground_truth_answer": "A1", "label": "maintain", "question": "Which tag lies slightly above-left of the first crest apex?" }, { "ground_truth_answer": "A2", "label": "maintain", "question": "What label marks the first trough?" }, { "ground_truth_answer": "A4", "label": "editing", "question": "Counting from the left, which label is placed directly at the tip (vertex) of the second peak of the zigzag line?" }, { "ground_truth_answer": "A6", "label": "maintain", "question": "What label marks the second trough?" }, { "ground_truth_answer": "Two", "label": "maintain", "question": "How many additional peaks appear to the right?" } ]
math
Raise all crest points of the zigzag higher while leaving the trough points unchanged.
[ { "ground_truth_answer": "Square", "label": "maintain", "question": "What shape are the tiles?" }, { "ground_truth_answer": "0.0", "label": "maintain", "question": "What is the x-axis minimum?" }, { "ground_truth_answer": "1.0", "label": "maintain", "question": "What is the y-axis maximum?" }, { "ground_truth_answer": "0.0", "label": "maintain", "question": "Which x-axis tick label is visible at the minimum x?" }, { "ground_truth_answer": "3.0", "label": "maintain", "question": "Which x-axis tick label is visible at the maximum x?" }, { "ground_truth_answer": "0.0", "label": "maintain", "question": "Which y-axis tick label is visible at the minimum y?" }, { "ground_truth_answer": "1.0", "label": "maintain", "question": "Which y-axis tick label is visible at the maximum y?" }, { "ground_truth_answer": "8", "label": "editing", "question": "How many orange squares are present?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the squares equal-sized?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "Within the orange shaded tiling (ignore the light blue plot gridlines), how many vertical columns of orange rectangles are there from left to right?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "How many rows does the tiling have?" }, { "ground_truth_answer": "≈0.3–1.0", "label": "editing", "question": "What is the approximate y-span of the tiling rectangle?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "How many horizontal internal boundaries are there?" }, { "ground_truth_answer": "3", "label": "maintain", "question": "How many vertical internal boundaries are there?" }, { "ground_truth_answer": "Four columns", "label": "editing", "question": "Inside the orange shaded rectangle, into how many columns do the vertical internal lines divide it?" }, { "ground_truth_answer": "≈0.35", "label": "editing", "question": "About how wide is each tile (data units)?" }, { "ground_truth_answer": "Right of x≈1.7", "label": "maintain", "question": "What region of the plot is empty?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What color is the empty region?" } ]
math
Recolor the set of magenta squares to orange while keeping their positions and transparency unchanged.
[ { "ground_truth_answer": "DC", "label": "maintain", "question": "Which edge is the right edge?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "Which point is at the bottom-right corner?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which point is at the top-right corner?" }, { "ground_truth_answer": "G", "label": "editing", "question": "Which label lies upper along the vertical from E?" }, { "ground_truth_answer": "N", "label": "editing", "question": "Which label lies lower along the vertical from E?" }, { "ground_truth_answer": "P", "label": "editing", "question": "Which point is joined to E by a solid diagonal segment?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "centered beneath", "label": "maintain", "question": "How is the text “圖5” positioned relative to the figure?" } ]
math
Move the labeled point E one unit to the right along the top edge, shifting both solid and dashed segments connected to E accordingly.
[ { "ground_truth_answer": "Filled", "label": "maintain", "question": "Is the trapezoid filled or unfilled?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What is the outline color of the trapezoid?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of the left side of the trapezoid?" }, { "ground_truth_answer": "d", "label": "maintain", "question": "Which point labels the bottom-left vertex?" }, { "ground_truth_answer": "Gray", "label": "maintain", "question": "What color are points a and d?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of the top base?" }, { "ground_truth_answer": "Bottom base", "label": "maintain", "question": "Which base extends farther right than the other?" }, { "ground_truth_answer": "Below the center of the bottom edge", "label": "maintain", "question": "Where is point e located relative to the trapezoid?" }, { "ground_truth_answer": "Lowercase", "label": "maintain", "question": "What case are the text labels?" }, { "ground_truth_answer": "Near their respective points", "label": "editing", "question": "Where are the text labels placed relative to their points?" } ]
math
Move the bottom-right corner of the trapezoid slightly left to shorten the bottom base.
[ { "ground_truth_answer": "Thin", "label": "maintain", "question": "What is the line weight of the black borders outlining the squares—thin or thick?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many squares are in the horizontal row?" }, { "ground_truth_answer": "Left to right", "label": "maintain", "question": "In what direction does the horizontal row run?" }, { "ground_truth_answer": "Yes; they are adjacent.", "label": "maintain", "question": "Do the four squares in the bottom horizontal row—labeled 2y, 5 − x, y + 1, and 2x − 1—touch each other edge-to-edge with no gaps?" }, { "ground_truth_answer": "5 − x", "label": "maintain", "question": "What is the label of the second square in the horizontal row?" }, { "ground_truth_answer": "y + 1", "label": "maintain", "question": "What is the label of the third square in the horizontal row?" }, { "ground_truth_answer": "2x − 1", "label": "maintain", "question": "What is the label of the fourth square in the horizontal row?" }, { "ground_truth_answer": "Right edge", "label": "maintain", "question": "From which edge of the last horizontal square does the vertical column extend?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of the column?" }, { "ground_truth_answer": "Middle", "label": "maintain", "question": "In the vertical column of three squares on the far right, which position (top, middle, or bottom) is the square that is directly to the right of the square labeled \"2x − 1\"?" }, { "ground_truth_answer": "4", "label": "editing", "question": "What numeral is in the middle square of the vertical column?" }, { "ground_truth_answer": "Unlabeled", "label": "maintain", "question": "In the three-square vertical column on the right side of the figure (the column whose middle square is directly to the right of the square labeled '2x − 1'), what label is inside the top square, i.e., the square directly above that middle square?" }, { "ground_truth_answer": "a", "label": "maintain", "question": "What label is in the square below the middle square of the column?" } ]
math
Replace the numeral inside the upper middle vertical square from 3 to 4.
[ { "ground_truth_answer": "4×4 checkerboard", "label": "maintain", "question": "What does the diagram depict?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is the outer border?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many rows of squares are there?" }, { "ground_truth_answer": "4×4", "label": "maintain", "question": "What is the board dimension?" }, { "ground_truth_answer": "black", "label": "editing", "question": "What is the color at row 1, column 1?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the color at row 1, column 2?" }, { "ground_truth_answer": "black", "label": "editing", "question": "What is the color at row 1, column 3?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the color at row 2, column 1?" }, { "ground_truth_answer": "black", "label": "editing", "question": "What is the color at row 2, column 2?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the color at row 2, column 3?" }, { "ground_truth_answer": "black", "label": "editing", "question": "What is the color at row 2, column 4?" }, { "ground_truth_answer": "black", "label": "editing", "question": "What is the color at row 3, column 3?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the color at row 3, column 4?" }, { "ground_truth_answer": "black", "label": "editing", "question": "What is the color at row 4, column 4?" }, { "ground_truth_answer": "uniform solid black", "label": "editing", "question": "How are dark squares rendered?" }, { "ground_truth_answer": "No", "label": "maintain", "question": "Are there interior gridlines between cells?" }, { "ground_truth_answer": "outer border", "label": "maintain", "question": "What is the only element delineating the board?" } ]
math
Darken all gray squares to solid black while leaving white squares and the border unchanged.
[ { "ground_truth_answer": "Geometric diagram", "label": "maintain", "question": "The image shows labeled points A, B, C, and D connected by straight line segments forming a triangle with D on BC. By discipline (e.g., geometric vs. statistical/chart vs. flow/process), what type of diagram is this?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which segment is the base of triangle ABC?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Which point is the apex?" }, { "ground_truth_answer": "circular", "label": "maintain", "question": "What shape are the point markers?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the point markers filled?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is label B present?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is label C present?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is label D present?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which point is the left endpoint of BC?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "Which point is the right endpoint of BC?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "On which segment does point D lie?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is D between B and C?" }, { "ground_truth_answer": "right", "label": "editing", "question": "Relative to the midpoint of BC, where is D?" }, { "ground_truth_answer": "C", "label": "editing", "question": "To which endpoint of BC is D closer?" }, { "ground_truth_answer": "A and C", "label": "maintain", "question": "Which points does segment AC connect?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "To which segment does AD descend?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does AD partition the figure into subtriangles?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "How many subtriangles are formed by AD?" }, { "ground_truth_answer": "ADC", "label": "maintain", "question": "What is the name of the subtriangle with vertices A, D, and C?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the subtriangles adjacent?" } ]
math
Move point D along the base to the right so the vertical line from A drops to a new point between B and C.
[ { "ground_truth_answer": "3", "label": "maintain", "question": "How many colored arrows meet at a common point?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "What point serves as the common junction for the arrows?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is point A?" }, { "ground_truth_answer": "Filled", "label": "maintain", "question": "Is point A filled or hollow?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "What label does the blue filled point have?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What is the color of the arrow from A to B?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the line style of the blue arrow from A to B?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "At which point is the blue arrow's arrowhead positioned?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "What label does the red filled point at the end of the blue arrow have?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "From which point does the green arrow originate?" }, { "ground_truth_answer": "Down-right", "label": "maintain", "question": "In which direction does the green arrow slope from A?" }, { "ground_truth_answer": "Green", "label": "maintain", "question": "What color is point C?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "What label does the green filled point at the end of the green arrow have?" }, { "ground_truth_answer": "Thin", "label": "editing", "question": "What is the thickness of the orange arrow?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "In what orientation does the orange arrow rise from A?" }, { "ground_truth_answer": "Y-shaped", "label": "maintain", "question": "What overall shape do the three arrows form?" }, { "ground_truth_answer": "Green", "label": "maintain", "question": "What is the color of the A→C arrow?" }, { "ground_truth_answer": "Thin", "label": "maintain", "question": "What line thickness do all three arrows share?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What line style do all three arrows share?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Ignoring color, do the three arrows from point A to points B, C, and D all use the same style—solid lines with a single arrowhead at the endpoint away from A?" } ]
math
Move the orange arrowhead’s endpoint from below A to a point directly above A, keeping its color and style the same.
[ { "ground_truth_answer": "Above", "label": "maintain", "question": "Where is apex Q located relative to base AB?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What color is the background?" }, { "ground_truth_answer": "QE and QP", "label": "maintain", "question": "What are the two interior cevians from Q?" }, { "ground_truth_answer": "QE", "label": "maintain", "question": "Which segment is the left interior cevian?" }, { "ground_truth_answer": "Down-left", "label": "maintain", "question": "Considering the segment connecting Q (the top vertex) to E (the point on the base AB between A and P), as you move from Q toward E, does QE slope down-left or down-right?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "QE connects Q to which point on the base?" }, { "ground_truth_answer": "EP", "label": "maintain", "question": "Triangle ECP has its base on which subsegment of AB?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "EP is a subsegment of which segment?" }, { "ground_truth_answer": "EC and CP", "label": "maintain", "question": "Which sides connect to vertex C in triangle ECP?" }, { "ground_truth_answer": "Interior", "label": "maintain", "question": "Where is point C located relative to triangle QAB?" }, { "ground_truth_answer": "Between QE and QP", "label": "editing", "question": "Where is vertex C situated relative to the cevians?" }, { "ground_truth_answer": "QA", "label": "maintain", "question": "Which side forms the left outer boundary of triangle QAB?" }, { "ground_truth_answer": "QB", "label": "maintain", "question": "Which side forms the right outer boundary of triangle QAB?" }, { "ground_truth_answer": "QE and QP", "label": "maintain", "question": "Which segments partition triangle QAB into wedges?" }, { "ground_truth_answer": "Inner wedge", "label": "maintain", "question": "In triangle QAB, rays QE and QP (from Q to points E and P on AB) partition the interior into three wedge-shaped regions. Define the 'inner wedge' as the region bounded by QE, QP, and EP. In which wedge is triangle ECP located?" } ]
math
Move the vertical segment from the apex downward so it meets the base further to the right, and reposition the label P beneath its new foot.
[ { "ground_truth_answer": "upper left", "label": "maintain", "question": "Where is point B located?" }, { "ground_truth_answer": "lower left", "label": "maintain", "question": "Where is point F located?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of BA?" }, { "ground_truth_answer": "B and A", "label": "maintain", "question": "Between which points does BA run?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of the base?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is the base straight?" }, { "ground_truth_answer": "FB", "label": "maintain", "question": "Which boundary edge is on the left?" }, { "ground_truth_answer": "up", "label": "maintain", "question": "In which direction does FB run from F?" }, { "ground_truth_answer": "3", "label": "editing", "question": "How many distinct drawn line segments meet at the interior point labeled E?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "What is the label of the intersection point?" }, { "ground_truth_answer": "yes", "label": "maintain", "question": "Is E inside the pentagon?" }, { "ground_truth_answer": "just below", "label": "maintain", "question": "Where is E relative to BA?" }, { "ground_truth_answer": "right", "label": "maintain", "question": "Where is E relative to B?" }, { "ground_truth_answer": "Top", "label": "editing", "question": "Divide the quadrilateral B–A–D–F into three equal horizontal bands from the base FD up to the top edge BA. In which band is point E located: top, middle, or bottom?" }, { "ground_truth_answer": "BE", "label": "maintain", "question": "Which segment connects B to E?" }, { "ground_truth_answer": "down-right", "label": "maintain", "question": "What is the slope direction of BE?" }, { "ground_truth_answer": "Up-left.", "label": "maintain", "question": "In the diagram, consider the line segment CE connecting point C on the bottom edge (between F and D) to the interior point E. As you move from C toward E, does the segment slope up-left or up-right?" }, { "ground_truth_answer": "FA", "label": "maintain", "question": "Which segment connects F to A?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "A, B, C, D, E, F", "label": "maintain", "question": "Which labels appear in the diagram?" } ]
math
Move the interior labeled point E upward so that all three segments meeting at E intersect higher inside the figure.
[ { "ground_truth_answer": "Triangle", "label": "maintain", "question": "What is the outer shape of the figure?" }, { "ground_truth_answer": "e1", "label": "maintain", "question": "What is the label of the apex near the top center?" }, { "ground_truth_answer": "e2", "label": "maintain", "question": "What is the label of the lower-right vertex?" }, { "ground_truth_answer": "e3", "label": "maintain", "question": "What is the label of the lower-left vertex?" }, { "ground_truth_answer": "e2–e3", "label": "maintain", "question": "In the diagram, which line segment directly connects the rightmost vertex labeled e2 to the leftmost vertex labeled e3 (the bottom horizontal side)?" }, { "ground_truth_answer": "e2–e3", "label": "maintain", "question": "What is the base edge of the outer triangle?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the outer triangle edges?" }, { "ground_truth_answer": "e1 and v", "label": "maintain", "question": "Which two points are connected by a vertical segment?" }, { "ground_truth_answer": "Straight down", "label": "maintain", "question": "From e1 toward v, what is the direction of the segment?" }, { "ground_truth_answer": "Partitions it", "label": "maintain", "question": "What effect does segment e1–v have on the figure?" }, { "ground_truth_answer": "e2–e3", "label": "maintain", "question": "On which edge does point v lie?" }, { "ground_truth_answer": "e3 and e2", "label": "maintain", "question": "Between which vertices is v located?" }, { "ground_truth_answer": "e3–e1", "label": "maintain", "question": "On which edge does point w lie?" }, { "ground_truth_answer": "w–e2", "label": "maintain", "question": "In the diagram, identify the line segment by its endpoints that directly connects the point labeled w to the point labeled e2." }, { "ground_truth_answer": "Long", "label": "maintain", "question": "How is segment w–e2 described in length?" }, { "ground_truth_answer": "e1–v", "label": "maintain", "question": "Which vertical segment does w–e2 cross?" }, { "ground_truth_answer": "Triangular", "label": "maintain", "question": "What polygon type are the regions?" }, { "ground_truth_answer": "e1–w", "label": "maintain", "question": "Which segment between e1 and w bounds σ7?" }, { "ground_truth_answer": "w–v", "label": "editing", "question": "Which segment between w and v bounds σ7?" }, { "ground_truth_answer": "e3–w", "label": "maintain", "question": "Which segment between e3 and w bounds σ4?" }, { "ground_truth_answer": "e3–v", "label": "maintain", "question": "Which segment between e3 and v bounds σ4?" }, { "ground_truth_answer": "w–v", "label": "maintain", "question": "Which segment between w and v bounds σ4?" }, { "ground_truth_answer": "e1–v", "label": "maintain", "question": "Which segment between e1 and v bounds σ6?" }, { "ground_truth_answer": "w–e2", "label": "maintain", "question": "Which segment between w and e2 bounds σ6?" }, { "ground_truth_answer": "Slanted", "label": "maintain", "question": "Relative to the horizontal base edge e3–e2, is the line segment connecting the labeled points e1 (top vertex) and e2 (rightmost vertex) horizontal, vertical, or slanted?" }, { "ground_truth_answer": "At the top end of the vertical segment directly above v, near the top center.", "label": "maintain", "question": "In the diagram, where is the point labeled 'e1' located relative to v and the overall figure?" }, { "ground_truth_answer": "Lower right", "label": "maintain", "question": "Where is e2 positioned?" } ]
math
Move the point labeled w vertically upward, keeping all its connected line segments attached to the new position.
[ { "ground_truth_answer": "Cartesian axes", "label": "maintain", "question": "What coordinate system is used?" }, { "ground_truth_answer": "Concave up", "label": "maintain", "question": "What is the concavity of the curve?" }, { "ground_truth_answer": "Triangle", "label": "maintain", "question": "What polygon appears in the diagram?" }, { "ground_truth_answer": "Far right", "label": "maintain", "question": "Where is the x-axis label placed?" }, { "ground_truth_answer": "x", "label": "maintain", "question": "What label marks the x-axis?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of the y-axis?" }, { "ground_truth_answer": "Top", "label": "maintain", "question": "Where is the y-axis label placed?" }, { "ground_truth_answer": "y", "label": "maintain", "question": "What label marks the y-axis?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color are the key point labels?" }, { "ground_truth_answer": "Just left", "label": "maintain", "question": "Where is O relative to the y-axis?" }, { "ground_truth_answer": "Between y-axis and triangle", "label": "maintain", "question": "Where is A relative to the y-axis and triangle?" }, { "ground_truth_answer": "Below", "label": "maintain", "question": "Where is the minimum relative to the x-axis?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What is the color of the curve?" }, { "ground_truth_answer": "Smooth", "label": "maintain", "question": "What is the smoothness of the curve?" }, { "ground_truth_answer": "Below the x-axis.", "label": "maintain", "question": "When moving along the black curve from point O toward point P, relative to the x-axis, is the curve above or below the x-axis as it approaches P?" }, { "ground_truth_answer": "Oblique", "label": "maintain", "question": "What is the orientation of the triangle’s left side?" }, { "ground_truth_answer": "Slightly above", "label": "editing", "question": "Where is the triangle’s top vertex relative to the x-axis?" }, { "ground_truth_answer": "Oblique", "label": "maintain", "question": "What is the orientation of the triangle’s right side?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which point marks where the triangle’s right side crosses the x-axis?" }, { "ground_truth_answer": "C and P", "label": "maintain", "question": "Which points does the triangle’s base connect?" } ]
math
Raise the triangle’s top vertex slightly above the x-axis to make the triangle taller.
[ { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Which segment do they share?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of AC?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is point C labeled?" }, { "ground_truth_answer": "Lower left", "label": "maintain", "question": "Where is point B located?" }, { "ground_truth_answer": "Lower center", "label": "editing", "question": "Where is point C located?" }, { "ground_truth_answer": "Noticeably higher", "label": "editing", "question": "Where is point D vertically relative to A?" }, { "ground_truth_answer": "Four", "label": "maintain", "question": "How many labeled points are there?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of BC?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Which side of triangle ABC is vertical?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which side of triangle ABC is oblique?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which line continues beyond A?" }, { "ground_truth_answer": "ACD", "label": "maintain", "question": "Which triangle attaches at A and C?" }, { "ground_truth_answer": "AD", "label": "maintain", "question": "In triangle ACD, which edge is the top edge?" }, { "ground_truth_answer": "Acute", "label": "maintain", "question": "Looking at triangle ACD, what type of angle is at the rightmost vertex D, formed by segments AD and CD: acute, right, or obtuse?" }, { "ground_truth_answer": "AD", "label": "maintain", "question": "Which edge in triangle ACD is less steep?" }, { "ground_truth_answer": "CD", "label": "editing", "question": "In triangle ACD, comparing only sides AD and CD, which side has the greater absolute slope (i.e., makes the larger acute angle with the horizontal baseline BC)?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Along which segment are the angle markers drawn?" }, { "ground_truth_answer": "On segment AC just above point C, marking the angle between AC and CD.", "label": "maintain", "question": "In triangle ACD, two small angle markers are drawn along segment AC. Where is the lower marker located—identify the segments forming the angle and the nearby labeled point?" }, { "ground_truth_answer": "The angle at A between AC and AD (∠CAD) and the angle at C between AC and CD (∠ACD).", "label": "maintain", "question": "In triangle ACD, which exact angles are shown by the small bracket-shaped markers inside the triangle?" } ]
math
Move the rightmost vertex D vertically upward to make the right-side triangle steeper while keeping other points fixed.
[ { "ground_truth_answer": "black on white", "label": "maintain", "question": "What is the diagram’s color scheme?" }, { "ground_truth_answer": "O", "label": "editing", "question": "What label marks the filled point near the circle’s left interior?" }, { "ground_truth_answer": "2", "label": "editing", "question": "How many filled points lie on the circle’s left arc?" }, { "ground_truth_answer": "One is upper-left (above the horizontal line), the other lower-left (below the horizontal line).", "label": "maintain", "question": "In the diagram, look at the two black points where the vertical segment meets the left side of the large circle. Relative to the center O and the horizontal line through O, where are these two points located?" }, { "ground_truth_answer": "straight segment", "label": "maintain", "question": "What connects the two left-arc points?" }, { "ground_truth_answer": "isosceles", "label": "maintain", "question": "What type of triangle is formed by the base and dashed segments?" }, { "ground_truth_answer": "Inner circular arc.", "label": "editing", "question": "In the circle centered at O, a curved segment is drawn inside the circle (not on the circumference) connecting the two filled points on the left side—the upper-left and lower-left points. What type of arc is this interior curved segment?" }, { "ground_truth_answer": "Immediately to the right of that vertical segment.", "label": "editing", "question": "Relative to the vertical straight segment joining the top and bottom black points on the left, on which side is the smaller inner arc located?" } ]
math
Move the circle slightly to the right so its center is a bit to the right of the dashed triangle’s apex.
[ { "ground_truth_answer": "M–N", "label": "maintain", "question": "Which segment serves as the base of the quadrilateral?" }, { "ground_truth_answer": "Slanted", "label": "maintain", "question": "What is the orientation of base M–N?" }, { "ground_truth_answer": "From left toward lower right", "label": "maintain", "question": "In which direction does M–N run?" }, { "ground_truth_answer": "Above it", "label": "maintain", "question": "Where is B relative to base M–N?" }, { "ground_truth_answer": "Left of center", "label": "maintain", "question": "Where is A relative to the center?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "Which point lies below O on the same vertical?" }, { "ground_truth_answer": "P", "label": "maintain", "question": "Which point on the same vertical lies below segment A–B?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the central vertical continue past A–B?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a straight segment between C and D?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a straight segment between C and B?" }, { "ground_truth_answer": "C and B", "label": "maintain", "question": "Between which points is D positioned?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a line segment between F and A?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a line segment between F and B?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a line segment between E and A?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a line segment between E and B?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "What numeral appears circled?" }, { "ground_truth_answer": "Lower-left quadrant", "label": "editing", "question": "In which quadrant does the circled 2 appear?" }, { "ground_truth_answer": "Below it", "label": "maintain", "question": "Where is the circled 2 relative to base M–N?" } ]
math
Move the small circled “2” one unit to the left while keeping its size and style unchanged.
[ { "ground_truth_answer": "B", "label": "maintain", "question": "Which point lies at the right end of the diameter on the circle?" }, { "ground_truth_answer": "On the diameter", "label": "maintain", "question": "Where is point P located relative to the diameter?" }, { "ground_truth_answer": "Up and left", "label": "editing", "question": "In what direction from O is OC drawn?" }, { "ground_truth_answer": "On the arc above AB (the upper arc AB).", "label": "maintain", "question": "In the circle, AB is the horizontal diameter. Between the two arcs from A to B (the arc above AB and the arc below AB), on which arc does point C lie?" }, { "ground_truth_answer": "Upper-left quadrant", "label": "editing", "question": "In which quadrant is point C located?" }, { "ground_truth_answer": "Upward-left.", "label": "editing", "question": "In the diagram, consider the line segment OC connecting the center O to point C on the left side of the circle. As you move from O toward C, does the segment slope upward-left or upward-right?" }, { "ground_truth_answer": "OBD", "label": "maintain", "question": "Which triangle is drawn inside the circle?" }, { "ground_truth_answer": "A, B, C, D, O, P", "label": "maintain", "question": "Which labels appear in the diagram?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" } ]
math
Move the endpoint labeled C from the upper-right outside region to the left side of the circle so the radius OC points into the upper-left quadrant.
[ { "ground_truth_answer": "O", "label": "maintain", "question": "What letter denotes the center?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a horizontal reference axis?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "How many labeled points, excluding the center point labeled O, are shown in the diagram?" }, { "ground_truth_answer": "Orange", "label": "maintain", "question": "What color is point A?" }, { "ground_truth_answer": "Green", "label": "maintain", "question": "What color is point B?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is B close to the circumference?" }, { "ground_truth_answer": "Purple", "label": "maintain", "question": "What color is point D′?" }, { "ground_truth_answer": "Lower-left arc", "label": "maintain", "question": "Where on the circumference is D′?" }, { "ground_truth_answer": "Right-hand arc", "label": "maintain", "question": "Where on the circumference is C?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is C on the circumference?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "Is BC solid or dashed?" }, { "ground_truth_answer": "Chord", "label": "maintain", "question": "What type of segment is BC?" }, { "ground_truth_answer": "Radius", "label": "maintain", "question": "What type of segment is OD′?" }, { "ground_truth_answer": "Chord", "label": "maintain", "question": "What type of segment is D′C?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Is D′C directed upward toward C?" } ]
math
Rotate point C counterclockwise along the circle so it moves slightly upward from its current position, adjusting the connected segments accordingly.
[ { "ground_truth_answer": "2D line chart", "label": "maintain", "question": "What type of chart is shown?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a legend?" }, { "ground_truth_answer": "Upper-left", "label": "maintain", "question": "Where is the legend located?" }, { "ground_truth_answer": "y = (2x)^2", "label": "editing", "question": "What text does the legend display?" }, { "ground_truth_answer": "0.0", "label": "maintain", "question": "What value is at the left end of the x-axis?" }, { "ground_truth_answer": "2.5", "label": "maintain", "question": "At what x-value is there a tick?" }, { "ground_truth_answer": "2598", "label": "maintain", "question": "Which y tick label has a horizontal dashed gridline?" }, { "ground_truth_answer": "Convex upward", "label": "maintain", "question": "What is the curvature of the orange curve?" }, { "ground_truth_answer": "Increases monotonically", "label": "maintain", "question": "How does the orange curve change as x increases?" }, { "ground_truth_answer": "5197", "label": "maintain", "question": "What is the value of the topmost y-axis tick label at the left side of the chart?" }, { "ground_truth_answer": "y = (2x)^2", "label": "editing", "question": "What function does the legend reference?" }, { "ground_truth_answer": "Quadratic", "label": "maintain", "question": "What type of function is y = (2x)^2?" }, { "ground_truth_answer": "y = (2x)^2", "label": "editing", "question": "Which function is steeper, y = x^2 or y = (2x)^2?" }, { "ground_truth_answer": "y = (2x)^2", "label": "editing", "question": "At x = 5, which function has the larger y-value, y = x^2 or y = (2x)^2?" }, { "ground_truth_answer": "No", "label": "editing", "question": "Do the axes and grid styling differ between the compared functions?" } ]
math
Make the orange curve rise more steeply so it reaches a much higher value at x = 5 while keeping axes and grid unchanged.
[ { "ground_truth_answer": "5", "label": "editing", "question": "How many labeled points are shown?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the labeled points connected by line segments?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which point is at the bottom-left?" }, { "ground_truth_answer": "Square", "label": "maintain", "question": "What marker shape marks point B?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is point B's marker?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which label is associated with the blue square marker?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Which point lies above-right of B?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Which point is joined to B by a short rising segment?" }, { "ground_truth_answer": "BA.", "label": "maintain", "question": "Among the three segments that share endpoint B—BA (to the green point A), BC (to the orange point at the lower right), and BE (to the purple point E)—which segment is the shortest?" }, { "ground_truth_answer": "Orange", "label": "maintain", "question": "What color is point C's marker?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which segment forms the horizontal baseline?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which point is up-right of C?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "What color is point D's marker?" }, { "ground_truth_answer": "Filled dot", "label": "maintain", "question": "At the red point labeled D on the right side of the diagram, what is the marker shape (filled dot vs hollow circle)?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which label appears with the red dot?" }, { "ground_truth_answer": "Upward-slanting", "label": "maintain", "question": "What is the orientation of segment CD?" }, { "ground_truth_answer": "C and D", "label": "maintain", "question": "Between which points is segment CD drawn?" }, { "ground_truth_answer": "E", "label": "editing", "question": "Which point is above D?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "Which point is slightly left of D?" }, { "ground_truth_answer": "Purple", "label": "maintain", "question": "What color is point E's marker?" }, { "ground_truth_answer": "E", "label": "editing", "question": "Which point is the highest?" }, { "ground_truth_answer": "Purple", "label": "maintain", "question": "What color is the angle tick at E?" }, { "ground_truth_answer": "Up-right diagonal", "label": "maintain", "question": "How is segment EB oriented?" }, { "ground_truth_answer": "E and D", "label": "maintain", "question": "Between which points is segment ED drawn?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is segment EB part of the polygonal chain B–C–D–E–B?" }, { "ground_truth_answer": "Arrow", "label": "maintain", "question": "What object appears near the right side of the figure?" }, { "ground_truth_answer": "Gray", "label": "maintain", "question": "What color is the arrow near the right side?" }, { "ground_truth_answer": "Upward", "label": "maintain", "question": "What is the arrow's direction?" }, { "ground_truth_answer": "Small", "label": "maintain", "question": "What is the size of the arrow near the right side?" } ]
math
Raise point E vertically to make the slanted BE segment steeper while keeping all other points fixed.
[ { "ground_truth_answer": "Quadrilateral", "label": "maintain", "question": "What shape is depicted?" }, { "ground_truth_answer": "A, B, C, D", "label": "maintain", "question": "What are the vertex labels of the quadrilateral?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which side serves as the base?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which side is on the left?" }, { "ground_truth_answer": "Up to the right", "label": "maintain", "question": "In which direction does AD slant?" }, { "ground_truth_answer": "Lower-right end", "label": "maintain", "question": "Where along the base is point C located?" }, { "ground_truth_answer": "Above the right side", "label": "editing", "question": "Where is point D located?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which segment contains point E?" }, { "ground_truth_answer": "Interior segment", "label": "maintain", "question": "In the quadrilateral ABCD, point E lies on side BC. What is the classification of segment AE relative to the quadrilateral: side, diagonal (joining two nonadjacent vertices), or interior segment?" } ]
math
Move point E rightward along the bottom edge BC to the midpoint, shifting the slanted segment AE accordingly.
[ { "ground_truth_answer": "Geometric construction diagram", "label": "maintain", "question": "The image shows labeled points A, B, C, D, E, and O connected by straight line segments forming triangles, with dashed x- and y-axes as references but no numeric scales or plotted data. What type of diagram is this?" }, { "ground_truth_answer": "gray", "label": "maintain", "question": "What color are the axes?" }, { "ground_truth_answer": "y", "label": "maintain", "question": "What label does the vertical axis have?" }, { "ground_truth_answer": "right", "label": "maintain", "question": "Where is point B relative to O horizontally?" }, { "ground_truth_answer": "slightly below", "label": "maintain", "question": "Where is point B relative to the x-axis vertically?" }, { "ground_truth_answer": "OB", "label": "maintain", "question": "Between segments OA and OB in the figure, which one is longer?" }, { "ground_truth_answer": "shallow", "label": "maintain", "question": "How steep is segment OB?" }, { "ground_truth_answer": "downward right", "label": "maintain", "question": "In which direction does OB slant?" }, { "ground_truth_answer": "negative", "label": "maintain", "question": "What is the slope sign of OB?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "Which point lies on OB near O?" }, { "ground_truth_answer": "Closer to O.", "label": "maintain", "question": "Along segment OB, is point E located closer to O or closer to B?" }, { "ground_truth_answer": "vertical", "label": "maintain", "question": "What is the orientation of AO?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which segment connects A and B?" }, { "ground_truth_answer": "AE", "label": "maintain", "question": "Which segment connects A and E?" }, { "ground_truth_answer": "AE", "label": "editing", "question": "On which segment is point D located?" }, { "ground_truth_answer": "EC", "label": "maintain", "question": "Which segment connects E and C?" }, { "ground_truth_answer": "AB and EC", "label": "editing", "question": "Which two segments intersect near the center?" }, { "ground_truth_answer": "upper-right portion", "label": "maintain", "question": "Where is point C located in the plane?" } ]
math
Move point C upward to increase its y-coordinate while keeping its x-position the same.
[ { "ground_truth_answer": "top", "label": "maintain", "question": "Where is A located on AC?" }, { "ground_truth_answer": "2", "label": "editing", "question": "How many straight line segments start at point D and end at a labeled point on side AC above D?" }, { "ground_truth_answer": "above", "label": "editing", "question": "Where is E relative to D vertically?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "To which line does DE connect at E?" }, { "ground_truth_answer": "slender", "label": "maintain", "question": "What single-word adjective describes the shape of triangles AED and DEC in the figure (they appear thin and narrow)?" }, { "ground_truth_answer": "A, B, C, D, E", "label": "maintain", "question": "Which labels mark the points?" } ]
math
Move point E upward along the right vertical side AC, making the horizontal segment DE shift upward.
[ { "ground_truth_answer": "x", "label": "maintain", "question": "What letter labels the horizontal axis?" }, { "ground_truth_answer": "4.0", "label": "maintain", "question": "What is the approximate maximum x-axis tick value?" }, { "ground_truth_answer": "-0.5", "label": "maintain", "question": "What is the approximate minimum y-axis tick value?" }, { "ground_truth_answer": "3.0", "label": "maintain", "question": "What is the approximate maximum y-axis tick value?" }, { "ground_truth_answer": "x-axis", "label": "maintain", "question": "What label text for the x-axis appears in the legend?" }, { "ground_truth_answer": "y-axis", "label": "maintain", "question": "What label text for the y-axis appears in the legend?" }, { "ground_truth_answer": "(3, 0)", "label": "editing", "question": "Where is the visible minimum of the blue curve?" }, { "ground_truth_answer": "x > 3", "label": "editing", "question": "For what x-values does the blue curve rise again?" }, { "ground_truth_answer": "(0, 0)", "label": "maintain", "question": "What are the coordinates of point O?" }, { "ground_truth_answer": "(0, 1)", "label": "maintain", "question": "What are the coordinates of point A?" }, { "ground_truth_answer": "(1, 2)", "label": "maintain", "question": "What are the coordinates of point M?" }, { "ground_truth_answer": "(3, 1)", "label": "maintain", "question": "What are the coordinates of point N?" }, { "ground_truth_answer": "(0, 0) and (1, 1)", "label": "editing", "question": "Which points are connected by a diagonal segment starting at the origin?" }, { "ground_truth_answer": "(0, 1) and (1, 2)", "label": "maintain", "question": "On the plot, one black diagonal line runs from (0, 0) to (1, 1). What are the coordinates of the endpoints of the other black diagonal line segment that is parallel to it?" }, { "ground_truth_answer": "(1, 1) and (1, 2)", "label": "maintain", "question": "In the plot, focus on the black vertical segment located at x = 1 (one unit to the right of the y-axis). What are the coordinates of its two endpoints?" }, { "ground_truth_answer": "(1.1, 1.1)", "label": "maintain", "question": "Near which coordinates is a small right-angle marker shown?" } ]
math
Move the blue parabola one unit to the right so its lowest point shifts from x = 2 to x = 3.
[ { "ground_truth_answer": "black", "label": "maintain", "question": "What color are the diagram elements?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "Lower-left of the figure, at the base of the vertical segment labeled '1' in plane α.", "label": "maintain", "question": "In the figure, where exactly is point A located? Identify its position using the labeled features." }, { "ground_truth_answer": "A", "label": "maintain", "question": "What letter labels point A?" }, { "ground_truth_answer": "short", "label": "maintain", "question": "In the diagram, consider the small vertical line segment drawn directly above the point labeled A on the left. Ignoring its numeric label, which qualitative length category does this segment fit: short or long?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "What numeric label is on the segment above A?" }, { "ground_truth_answer": "α", "label": "maintain", "question": "What plane marker symbol is beside point A?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "What letter labels point B?" }, { "ground_truth_answer": "vertical", "label": "maintain", "question": "What is the orientation of the short segment at B?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "What numeric label is on the short vertical segment at B?" }, { "ground_truth_answer": "solid", "label": "maintain", "question": "In the diagram, the two oblique line segments that run from points A and B to the shared vertex on the right are drawn with which line style (solid or dashed)?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Considering only the horizontal direction, does the slanted line segment that starts at point A and goes to the joint point on the dashed horizontal line extend to the left or to the right from A?" }, { "ground_truth_answer": "small open circle", "label": "maintain", "question": "What marks the meeting point of the two oblique segments?" }, { "ground_truth_answer": "small", "label": "maintain", "question": "What is the size descriptor of the meeting circle?" }, { "ground_truth_answer": "horizontal", "label": "editing", "question": "What is the orientation of the dashed line through the circle?" }, { "ground_truth_answer": "dashed", "label": "editing", "question": "What is the style of the horizontal line through the circle?" }, { "ground_truth_answer": "black", "label": "editing", "question": "What color is the dashed horizontal line through the circle?" }, { "ground_truth_answer": "solid", "label": "editing", "question": "What is the style of the vertical stroke at the circle?" }, { "ground_truth_answer": "At the open circle (directly above it).", "label": "maintain", "question": "Relative to the small open circle at the right where the dashed horizontal line and the two slanted lines meet, where is the short vertical line segment drawn?" }, { "ground_truth_answer": "⊥", "label": "maintain", "question": "Which symbol appears above to the right of the vertical stroke?" }, { "ground_truth_answer": "right", "label": "editing", "question": "On which side of the vertical stroke are the symbols placed?" } ]
math
Rotate the dashed marker at point P from vertical to horizontal, making it a dashed horizontal line centered at P.
[ { "ground_truth_answer": "o", "label": "maintain", "question": "What symbol labels the origin?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color is the triangle's oblique side?" }, { "ground_truth_answer": "Left of origin", "label": "maintain", "question": "Where on the x-axis is the oblique side's base point?" }, { "ground_truth_answer": "Larger", "label": "maintain", "question": "In terms of slope magnitude, how does the short ray compare to the long ray?" }, { "ground_truth_answer": "Short", "label": "maintain", "question": "To the right of the y-axis, two slanted line segments intersect near the y-axis. Considering the segment with the greater slope (the steeper one), what is its drawn length relative to the other segment: Short or Long?" }, { "ground_truth_answer": "Limited length", "label": "maintain", "question": "In the diagram, consider the two upward-slanting lines to the right of the y-axis that intersect near the axis. For the steeper one, what is its extent as drawn: limited length or extending indefinitely?" }, { "ground_truth_answer": "Inside", "label": "editing", "question": "Where is the additional oblique segment located relative to the left triangle?" }, { "ground_truth_answer": "Negative x-axis", "label": "maintain", "question": "On which part of the x-axis does the inner oblique segment start?" }, { "ground_truth_answer": "Near", "label": "maintain", "question": "How close to the origin is the inner segment's base point?" }, { "ground_truth_answer": "Upward", "label": "maintain", "question": "What is the direction of the inner oblique segment from its base?" }, { "ground_truth_answer": "Orange", "label": "editing", "question": "What color are labels a and b?" }, { "ground_truth_answer": "a", "label": "maintain", "question": "Which label lies between the origin and the rays' start point?" } ]
math
Make the shorter ray labeled a visibly steeper while keeping its starting point and length range the same.
[ { "ground_truth_answer": "2D square lattice", "label": "maintain", "question": "What type of lattice is depicted?" }, { "ground_truth_answer": "Black dots", "label": "maintain", "question": "What shapes represent the lattice points?" }, { "ground_truth_answer": "Uniformly spaced grid", "label": "maintain", "question": "What pattern do the black dots form?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "Two", "label": "maintain", "question": "How many thick black arrows appear near the center-right?" }, { "ground_truth_answer": "Thick", "label": "maintain", "question": "What is the line thickness of these arrows?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are these arrows?" }, { "ground_truth_answer": "At a lattice point (the black grid dot).", "label": "maintain", "question": "In the dot-lattice diagram, the horizontal arrow labeled i and the vertical arrow labeled j share the same starting point. Is this shared tail at the labeled point O, or at a lattice point (the black grid dot where both arrows begin)?" }, { "ground_truth_answer": "At the dot labeled 'o' (the origin).", "label": "maintain", "question": "At which labeled point does the upward vertical arrow (the one marked j) begin?" }, { "ground_truth_answer": "j with an overhead arrow (vector j)", "label": "editing", "question": "In the center of the lattice, to the left of the upward-pointing (vertical) black arrow, what exact label is printed?" }, { "ground_truth_answer": "The arrow labeled i.", "label": "maintain", "question": "In the grid diagram, two arrows labeled i and j originate from the same central dot. Which labeled arrow points to the right?" }, { "ground_truth_answer": "The adjacent lattice point one unit to the right of the starting dot.", "label": "editing", "question": "In the lattice of black dots, the right-pointing horizontal arrow that starts at the dot where both arrows originate—what lattice point does it end at relative to that starting dot?" }, { "ground_truth_answer": "Γ₁", "label": "maintain", "question": "What caption appears below the lattice?" }, { "ground_truth_answer": "Centered below", "label": "maintain", "question": "How is the caption positioned relative to the lattice?" } ]
math
Shorten the horizontal arrow so it ends one lattice point closer to the origin.
[ { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "concentric circles", "label": "maintain", "question": "What primary shapes are depicted?" }, { "ground_truth_answer": "blue", "label": "maintain", "question": "What is the outline color of the outer circle?" }, { "ground_truth_answer": "red", "label": "maintain", "question": "What is the outline color of the inner circle?" }, { "ground_truth_answer": "A small solid red dot.", "label": "maintain", "question": "In the diagram with a red inner circle and a blue outer circle, what symbol marks their common center point?" }, { "ground_truth_answer": "solid", "label": "maintain", "question": "Is the central dot solid or hollow?" }, { "ground_truth_answer": "oval", "label": "maintain", "question": "What is the shape of the tiny figure near the central dot?" }, { "ground_truth_answer": "just to the lower-left", "label": "editing", "question": "Where is the tiny oval located relative to the central dot?" }, { "ground_truth_answer": "inside", "label": "maintain", "question": "Where is the tiny oval located relative to the red circle?" }, { "ground_truth_answer": "1 cm", "label": "maintain", "question": "What is the content of the annotation?" }, { "ground_truth_answer": "italic", "label": "maintain", "question": "What style is the annotation text?" } ]
math
Shrink the red inner circle while keeping its center fixed.
[ { "ground_truth_answer": "Geometric diagram", "label": "maintain", "question": "Considering the entire image that shows a triangle with labeled points A, B, C and an interior point D, what is the general category of this diagram (its overall type)?" }, { "ground_truth_answer": "3", "label": "maintain", "question": "How many triangle vertices are labeled?" }, { "ground_truth_answer": "top apex", "label": "maintain", "question": "Where is vertex A located?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "What is the label of the lower-right vertex?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which segment forms the base?" }, { "ground_truth_answer": "horizontal", "label": "maintain", "question": "What is the orientation of base BC?" }, { "ground_truth_answer": "slanted", "label": "maintain", "question": "What is the orientation of side AB?" }, { "ground_truth_answer": "slanted", "label": "maintain", "question": "What is the orientation of side AC?" }, { "ground_truth_answer": "straight black segment", "label": "maintain", "question": "What connects A and B?" }, { "ground_truth_answer": "straight black segment", "label": "maintain", "question": "What connects A and C?" }, { "ground_truth_answer": "filled", "label": "maintain", "question": "What fill style do the point markers have?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is the label text?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "What letter labels the interior point?" }, { "ground_truth_answer": "A", "label": "editing", "question": "Relative to A and base BC, which is D closer to?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Relative to sides AB and AC, which is D nearer to?" }, { "ground_truth_answer": "immediately left", "label": "maintain", "question": "Where is label D placed relative to point D?" }, { "ground_truth_answer": "white", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "uniform", "label": "maintain", "question": "What is the linework consistency?" } ]
math
Move the interior point D and its label upward within the triangle by a small amount.
[ { "ground_truth_answer": "Geometric line diagram", "label": "editing", "question": "What type of graphic is shown?" }, { "ground_truth_answer": "7", "label": "maintain", "question": "How many labeled points are shown?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is A a labeled point?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is F a labeled point?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is E a labeled point?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is D a labeled point?" }, { "ground_truth_answer": "D-C", "label": "maintain", "question": "Which segment is the base of triangle D-P-C?" }, { "ground_truth_answer": "Bottom right", "label": "maintain", "question": "Where is C located?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of segment D-P?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of segment P-A?" }, { "ground_truth_answer": "Down-left", "label": "editing", "question": "Where is A relative to P?" }, { "ground_truth_answer": "Down-right", "label": "maintain", "question": "Where is F relative to P?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Do points P, A, and F form a small triangle?" }, { "ground_truth_answer": "A-F", "label": "maintain", "question": "What is the base of the small apex triangle?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What is the style of segment A-F?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Is segment A-F short?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of segment A-B?" }, { "ground_truth_answer": "Down-right", "label": "maintain", "question": "How does segment A-B slant?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of segment B-C?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What is the style of segment D-E?" }, { "ground_truth_answer": "Up-right", "label": "maintain", "question": "How does segment D-E slant?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What is the style of segment E-F?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of segment E-F?" }, { "ground_truth_answer": "Inside", "label": "maintain", "question": "Where is the dashed polyline D-E-F located?" }, { "ground_truth_answer": "A–B", "label": "maintain", "question": "In the diagram, consider the vertical dashed line segment with endpoints F (top) and E (bottom). Which solid line segment between labeled points intersects this dashed EF segment (crossing it between E and F)?" }, { "ground_truth_answer": "Between E and F", "label": "maintain", "question": "Where does A-B cross E-F?" }, { "ground_truth_answer": "Near their points", "label": "editing", "question": "Where are labels placed relative to points?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the strokes?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" } ]
math
Replace the dashed line currently drawn from A to E so that it instead connects A directly to F.
[ { "ground_truth_answer": "Left to right", "label": "maintain", "question": "In which direction are the elements arranged?" }, { "ground_truth_answer": "Square", "label": "maintain", "question": "What shape is element (1)?" }, { "ground_truth_answer": "2 × 2 grid", "label": "maintain", "question": "Ignoring the vertical divider, what is the grid size (columns × rows) of the second shape from the left?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the cells of element (2) equal in size?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "In the rectangular grid to the right of the vertical divider line, how many columns of cells are there?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Are the cells of element (4) equal in size?" }, { "ground_truth_answer": "Near the far right margin.", "label": "maintain", "question": "From left to right, the image shows (1) a single small square, (2) a 2×2 grid, (3) a vertical divider line, (4) a 3×4 grid, and (5) a row of dots. Where is item (5)—the row of dots—positioned within the image?" } ]
math
Add one new vertical divider to the middle 2×2 grid, creating a 3×2 grid.
[ { "ground_truth_answer": "Geometric diagram", "label": "maintain", "question": "Classify the image by diagram category (not by the polygon’s specific name). The image shows a polygon with straight edges and labeled vertices A, B, C, and D. What type of diagram is this?" }, { "ground_truth_answer": "Trapezoid", "label": "maintain", "question": "What shape does the quadrilateral resemble?" }, { "ground_truth_answer": "Lower-left", "label": "maintain", "question": "Where is vertex A located?" }, { "ground_truth_answer": "Below", "label": "maintain", "question": "Where is label A placed relative to its vertex?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is label C placed relative to the top-left corner?" }, { "ground_truth_answer": "Right", "label": "editing", "question": "Where is label D placed relative to the top-right corner?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Are the edges color-coded?" }, { "ground_truth_answer": "Blue, black", "label": "maintain", "question": "Which colors are used for edges?" }, { "ground_truth_answer": "CD", "label": "maintain", "question": "Which side is the top side?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What is the color of side CD?" }, { "ground_truth_answer": "DB", "label": "maintain", "question": "Which side is the right side?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What is the color of side DB?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What is the color of side AB?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of side AB?" }, { "ground_truth_answer": "AC", "label": "maintain", "question": "Which side is the left side?" }, { "ground_truth_answer": "Black", "label": "editing", "question": "What is the color of side AC?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which base is shorter, CD or AB?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "In the trapezoid, as you move from the top edge CD down to the bottom edge AB, do the two slanted sides AC and BD converge inward toward each other?" } ]
math
Remove the blue line segment connecting point C to point B.
[ { "ground_truth_answer": "ABC", "label": "maintain", "question": "Which triangle is shown?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Which endpoint of AC is C?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which vertex is the apex of the triangle?" }, { "ground_truth_answer": "Above", "label": "maintain", "question": "Where is vertex B relative to base AC?" }, { "ground_truth_answer": "Left of M.", "label": "maintain", "question": "Let M be the midpoint of segment AC (the base). If a perpendicular is dropped from point B to AC, does its foot fall left of M, right of M, or exactly at M?" }, { "ground_truth_answer": "Up-right", "label": "maintain", "question": "What is the direction of segment AB from A to B?" }, { "ground_truth_answer": "Down-right", "label": "maintain", "question": "What is the direction of segment BC from B to C?" }, { "ground_truth_answer": "Filled black dot", "label": "maintain", "question": "How is point O represented?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What label is shown near the dot?" }, { "ground_truth_answer": "Upper-left area", "label": "maintain", "question": "Where in the image does point O appear?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is O relative to point A?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is O relative to side AB?" }, { "ground_truth_answer": "Just above", "label": "maintain", "question": "Where is the label O placed relative to the dot?" }, { "ground_truth_answer": "Above", "label": "maintain", "question": "With respect to the infinite straight line determined by points A and B (the line containing segment AB), is point O located in the half-plane above that line or below it?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Is O at or above the height of B?" } ]
math
Shift the black dot labeled O slightly higher while keeping its horizontal position fixed.
[ { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are solid lines?" }, { "ground_truth_answer": "Lower left", "label": "maintain", "question": "Where is point A located relative to the diagram?" }, { "ground_truth_answer": "A and B", "label": "maintain", "question": "Between which points does AB run?" }, { "ground_truth_answer": "A and C", "label": "maintain", "question": "Between which points does AC run?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What is the style of segment AF?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of segment FC?" }, { "ground_truth_answer": "Slanted", "label": "maintain", "question": "What is the orientation of side CB?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of side CB?" }, { "ground_truth_answer": "Downward toward B.", "label": "maintain", "question": "When moving along the solid line segment CB starting at point C, does it go upward or downward as it reaches point B?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "On which segment does point E lie?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is point E between A and B?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the style of segment ED?" }, { "ground_truth_answer": "Slanted", "label": "maintain", "question": "What is the orientation of segment ED?" }, { "ground_truth_answer": "Up-right", "label": "maintain", "question": "In which direction does ED run from E?" }, { "ground_truth_answer": "CB", "label": "maintain", "question": "Which side does ED meet?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "At which point does ED meet CB?" }, { "ground_truth_answer": "Dashed", "label": "editing", "question": "What is the style of segment FD?" } ]
math
Convert the horizontal segment from F to D into a dashed line.
[ { "ground_truth_answer": "Triangular configuration", "label": "maintain", "question": "What overall configuration does the diagram depict?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the figure include internal constructions?" }, { "ground_truth_answer": "C–B–E", "label": "maintain", "question": "What segment forms the base?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of the base?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "Which point is at the left end of the base?" }, { "ground_truth_answer": "E", "label": "maintain", "question": "Which point is at the right end of the base?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which point is an interior point on the base?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "Which point on the base lies directly below A?" }, { "ground_truth_answer": "A", "label": "maintain", "question": "Which point is the top vertex?" }, { "ground_truth_answer": "A–B", "label": "maintain", "question": "Which segment descends vertically from A to the base?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of segment A–B?" }, { "ground_truth_answer": "A–B", "label": "maintain", "question": "On which segment does point F lie?" }, { "ground_truth_answer": "Between A and B", "label": "maintain", "question": "Where is F located relative to A and B on segment A–B?" }, { "ground_truth_answer": "A–E", "label": "maintain", "question": "Which segment forms the right side?" }, { "ground_truth_answer": "Straight", "label": "maintain", "question": "Is the right side straight or broken?" }, { "ground_truth_answer": "Up-right", "label": "maintain", "question": "What is the direction of C–D from C?" }, { "ground_truth_answer": "Top", "label": "editing", "question": "Within the left half of the image, if the height is divided into three equal horizontal bands (top, middle, bottom), in which band does point D lie?" }, { "ground_truth_answer": "Two", "label": "maintain", "question": "How many additional interior segments originate at C?" }, { "ground_truth_answer": "Diagonal (straight)", "label": "maintain", "question": "In the diagram, relative to the horizontal base CE, what is the orientation of the line segment connecting point C (bottom-left) to point A (top)—horizontal, vertical, or diagonal?" }, { "ground_truth_answer": "C–F", "label": "maintain", "question": "Which interior segment from C goes to F?" }, { "ground_truth_answer": "Diagonal", "label": "maintain", "question": "What is the orientation of the line segment connecting point C (the leftmost bottom point) to point F (the marked point on the vertical segment AB): horizontal, vertical, or diagonal?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are all vertices labeled?" } ]
math
Shift point D upward along the left side AC so that the segment AD becomes steeper while keeping all other elements unchanged.
[ { "ground_truth_answer": "Light gray", "label": "maintain", "question": "What color are the thin background grid lines forming the square lattice behind points A, B, and C?" }, { "ground_truth_answer": "Square grid", "label": "maintain", "question": "What grid type is used?" }, { "ground_truth_answer": "Yes—uniform square spacing.", "label": "maintain", "question": "In the background grid, are the distances between adjacent vertical lines equal to the distances between adjacent horizontal lines across the entire image, forming square cells?" }, { "ground_truth_answer": "ABC", "label": "maintain", "question": "What is the triangle's designation?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the triangle edges straight?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is segment AB drawn?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is segment BC drawn?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the vertex markers colored?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What color is vertex A's marker?" }, { "ground_truth_answer": "Upper-left", "label": "maintain", "question": "Which quadrant of the overall grid (choose from upper-left, upper-right, lower-left, lower-right) contains the blue point labeled 'A'?" }, { "ground_truth_answer": "Orange", "label": "maintain", "question": "What color is vertex B's marker?" }, { "ground_truth_answer": "Filled circle", "label": "editing", "question": "What is the shape of the orange marker at the labeled vertex B on the right side of the triangle—filled circle, hollow circle, square, or triangle?" }, { "ground_truth_answer": "Green", "label": "maintain", "question": "What color is vertex C's marker?" }, { "ground_truth_answer": "Lower-left quadrant.", "label": "maintain", "question": "Divide the entire grid into four equal quadrants using its horizontal and vertical midlines. In which quadrant of the grid is point C (the green point) located?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are Greek letters present on the grid?" }, { "ground_truth_answer": "δ", "label": "maintain", "question": "Which Greek letter appears near the top center?" }, { "ground_truth_answer": "β", "label": "maintain", "question": "Which Greek letter appears near the bottom center?" }, { "ground_truth_answer": "Right", "label": "maintain", "question": "Relative to C, where is B horizontally?" }, { "ground_truth_answer": "Up-right", "label": "editing", "question": "In which direction does segment BC slope?" } ]
math
Move vertex B upward by one grid square while keeping A and C fixed.
[ { "ground_truth_answer": "Cartesian axes", "label": "maintain", "question": "What coordinate system is used?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are the squares concentric?" }, { "ground_truth_answer": "At O", "label": "maintain", "question": "Where do the X- and Y-axes intersect?" }, { "ground_truth_answer": "X", "label": "maintain", "question": "What label is on the horizontal axis?" }, { "ground_truth_answer": "Right end of the horizontal axis", "label": "maintain", "question": "Where is the X label placed?" }, { "ground_truth_answer": "Y", "label": "maintain", "question": "What label is on the vertical axis?" }, { "ground_truth_answer": "3×3", "label": "maintain", "question": "What grid size is formed by additional lines?" }, { "ground_truth_answer": "Yes", "label": "editing", "question": "Does a uniform scaling centered at point O map the larger outer square to the smaller inner square (i.e., the inner square is a scaled copy of the outer square about O)?" }, { "ground_truth_answer": "A2", "label": "maintain", "question": "Which label is in the square ring upper-left?" }, { "ground_truth_answer": "A3", "label": "maintain", "question": "Which label is in the square ring upper-right?" }, { "ground_truth_answer": "A4", "label": "maintain", "question": "Which label is in the square ring lower-right?" }, { "ground_truth_answer": "A7", "label": "maintain", "question": "Which label is in the central cell above the outer square right of the Y-axis?" }, { "ground_truth_answer": "A5", "label": "maintain", "question": "Which label is in the central cell below the outer square left of the Y-axis?" }, { "ground_truth_answer": "A8", "label": "maintain", "question": "Which label is in the central cell below the outer square right of the Y-axis?" }, { "ground_truth_answer": "A10", "label": "maintain", "question": "Which label is in the top-left corner cell of the grid?" }, { "ground_truth_answer": "A11", "label": "maintain", "question": "Which label is in the top-right corner cell of the grid?" }, { "ground_truth_answer": "A9", "label": "maintain", "question": "Which label is in the bottom-left corner cell of the grid?" }, { "ground_truth_answer": "A12", "label": "maintain", "question": "Which label is in the bottom-right corner cell of the grid?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are all lines?" } ]
math
Enlarge the smallest central square so it expands uniformly outward while remaining centered.
[ { "ground_truth_answer": "Thin black outline", "label": "maintain", "question": "How is the outer border described?" }, { "ground_truth_answer": "2", "label": "maintain", "question": "How many vertical lines subdivide the square?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the color of the leftmost top-edge cell?" }, { "ground_truth_answer": "Gray", "label": "editing", "question": "What is the color of the rightmost top-edge cell?" }, { "ground_truth_answer": "Vertical rectangle", "label": "editing", "question": "In the band below the upper horizontal divider, what shape does the rightmost column form?" }, { "ground_truth_answer": "Outer border", "label": "editing", "question": "What bounds the lowest band below?" } ]
math
Recolor the small 1×1 square in the top-right corner from white to gray.
[ { "ground_truth_answer": "−0.5 to 2.5", "label": "maintain", "question": "What is the approximate y-axis tick range?" }, { "ground_truth_answer": "0", "label": "maintain", "question": "At what x-value is a dashed reference line drawn?" }, { "ground_truth_answer": "0", "label": "maintain", "question": "At what y-value is a dashed reference line drawn?" }, { "ground_truth_answer": "Green", "label": "maintain", "question": "What color marks B?" }, { "ground_truth_answer": "(−1.45, 0.5)", "label": "maintain", "question": "What are E's approximate coordinates?" }, { "ground_truth_answer": "(0, 1.0)", "label": "maintain", "question": "What are coordinates of G?" }, { "ground_truth_answer": "Brown", "label": "maintain", "question": "In the chart titled 'Intersection of Lines and Curves', what color is the small circular marker at the point labeled 'G' (the point at the end of the gold line near x=0, y=1)?" }, { "ground_truth_answer": "y-axis", "label": "maintain", "question": "On which axis does G lie?" }, { "ground_truth_answer": "(0.5, 2.0)", "label": "maintain", "question": "What are coordinates of F?" }, { "ground_truth_answer": "Purple", "label": "maintain", "question": "What color marks F?" }, { "ground_truth_answer": "(−1.5, 0)", "label": "maintain", "question": "From what coordinate does the blue segment start?" }, { "ground_truth_answer": "(0, 2.5)", "label": "maintain", "question": "At what coordinate does the blue segment end?" }, { "ground_truth_answer": "(−1.5, 0.5)", "label": "maintain", "question": "From what coordinate does the red segment start?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "In the plot, consider the red line segment with negative slope that begins at point E (near x = -1.5, y ≈ 0.5) and heads toward the origin. At which labeled point does this red segment terminate?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "What color is the segment from (−1.5, 0.5) to O?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "From what point does the purple segment start?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "At what point does the purple segment end?" }, { "ground_truth_answer": "Purple", "label": "maintain", "question": "What color is the segment from B to O?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "From what point does the gold segment start?" }, { "ground_truth_answer": "(0.5, 1.2)", "label": "maintain", "question": "At what coordinate does the gold segment approximately end?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "From what point does the pink segment start?" }, { "ground_truth_answer": "Pink", "label": "editing", "question": "What color is the vertical segment from O to G?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "From what point does the green segment start?" }, { "ground_truth_answer": "(1.0, 1.2)", "label": "editing", "question": "At what coordinate does the green segment approximately end?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "On what x-value does the green segment's endpoint lie?" }, { "ground_truth_answer": "1.2", "label": "editing", "question": "What is the approximate slope of the green segment?" } ]
math
Rotate the green line segment clockwise so its upper endpoint drops lower along the same x=1, reducing its slope.
[ { "ground_truth_answer": "Cartesian", "label": "maintain", "question": "What type of coordinate graph is shown?" }, { "ground_truth_answer": "integer", "label": "maintain", "question": "What kind of tick labels are shown?" }, { "ground_truth_answer": "0", "label": "maintain", "question": "At what x-value is the y-axis located?" }, { "ground_truth_answer": "1 unit", "label": "editing", "question": "What spacing do the gridlines represent?" }, { "ground_truth_answer": "gray", "label": "maintain", "question": "What color are the gridlines?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is the quadrilateral?" }, { "ground_truth_answer": "A, B, C, D", "label": "maintain", "question": "What are the labels of the quadrilateral's vertices?" }, { "ground_truth_answer": "slightly left", "label": "maintain", "question": "Where is point A relative to the y-axis?" }, { "ground_truth_answer": "−1.6", "label": "maintain", "question": "What is the approximate y-coordinate of A?" }, { "ground_truth_answer": "2.0", "label": "editing", "question": "What is the approximate y-coordinate of C?" }, { "ground_truth_answer": "above", "label": "maintain", "question": "Where is point D relative to the x-axis?" }, { "ground_truth_answer": "C–D", "label": "editing", "question": "In the quadrilateral with labeled vertices A, B, C, and D, which line segment has a positive slope (i.e., it goes downward toward the left and upward toward the right)?" }, { "ground_truth_answer": "D–A", "label": "maintain", "question": "Which edge descends to A?" }, { "ground_truth_answer": "2", "label": "editing", "question": "What is the approximate y-coordinate of the topmost point?" }, { "ground_truth_answer": "dashed", "label": "maintain", "question": "What is the line style of the inner guide region?" }, { "ground_truth_answer": "2.5", "label": "maintain", "question": "What is the approximate top boundary y-value of the inner rectangle?" } ]
math
Shift point C and its label upward by one grid unit to make the top edge of the quadrilateral higher.
[ { "ground_truth_answer": "Translated TiKZ Code to Matplotlib", "label": "maintain", "question": "What is the title of the plot?" }, { "ground_truth_answer": "x", "label": "maintain", "question": "What is the x-axis label text?" }, { "ground_truth_answer": "3", "label": "maintain", "question": "What number labels the x-axis beneath the dashed vertical line?" }, { "ground_truth_answer": "7", "label": "maintain", "question": "What number labels the x-axis near the right intercept?" }, { "ground_truth_answer": "3", "label": "maintain", "question": "At what x-value is the graph's apex?" }, { "ground_truth_answer": "Above", "label": "maintain", "question": "Relative to y=2, is the apex above or below?" }, { "ground_truth_answer": "Descend", "label": "maintain", "question": "From the apex to x=7, does the graph ascend or descend?" }, { "ground_truth_answer": "7", "label": "editing", "question": "At what x-value does the graph meet the x-axis?" }, { "ground_truth_answer": "3", "label": "maintain", "question": "What x-value has a dashed vertical line?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of the dashed line at x=3?" }, { "ground_truth_answer": "Apex", "label": "editing", "question": "Where does the dashed vertical line at x=3 end?" }, { "ground_truth_answer": "Horizontal", "label": "editing", "question": "What is the orientation of the dashed line at y=2?" }, { "ground_truth_answer": "Dashed vertical at x=3", "label": "editing", "question": "Where does the dashed horizontal guide at y=2 end?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" } ]
math
Move the dashed horizontal guide down so it aligns with y=2 instead of y=3, and update the adjacent y-axis label to 2.
[ { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the lines?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What color is the background?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of edge AB?" }, { "ground_truth_answer": "Left", "label": "maintain", "question": "Where is C relative to B?" }, { "ground_truth_answer": "A and D", "label": "maintain", "question": "Which vertices does side AD connect?" }, { "ground_truth_answer": "AB and DC", "label": "editing", "question": "Which edges are parallel?" } ]
math
Move vertex B slightly to the right to make the top horizontal edge longer while keeping A, C, and D fixed.
[ { "ground_truth_answer": "Geometric line diagram", "label": "maintain", "question": "What kind of image is shown?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of the band?" }, { "ground_truth_answer": "Rectangular", "label": "maintain", "question": "What shapes are the central slices?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "Counting slices from the left edge as: 1) left triangle, 2) first rectangle, 3) second rectangle, 4) right triangle—how many diagonal line segments are drawn inside the 3rd slice (the rectangle between the 2nd and 3rd vertical partition lines)?" }, { "ground_truth_answer": "At the bottom endpoint of the center vertical divider.", "label": "editing", "question": "In the figure, one diagonal runs from the top of the left inner vertical divider to the center divider, and the other runs from the center divider up to the top of the right inner divider. At what exact point do these two interior diagonals intersect?" } ]
math
In the second slice from the left, reverse the diagonal so it runs from the top of the first vertical divider down to the bottom of the middle divider.
[ { "ground_truth_answer": "Above", "label": "maintain", "question": "Where are the tick labels positioned relative to the number line?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a tick labeled −2 on the number line?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a tick labeled −1 on the number line?" }, { "ground_truth_answer": "Farther left", "label": "editing", "question": "Where on the page do the standalone numerals −5, −4, −3 appear?" }, { "ground_truth_answer": "−4", "label": "maintain", "question": "On the left side of the image, three isolated numerals appear in a horizontal row (not on the number line or inside the circle): −5, −4, and −3. Which of these three is in the middle?" }, { "ground_truth_answer": "−3", "label": "maintain", "question": "Among the three isolated numbers on the far left of the image—−5, −4, and −3 (not the ones on the number line or inside the circle)—which number is positioned furthest to the right?" }, { "ground_truth_answer": "Below", "label": "maintain", "question": "Where is the circle relative to the number line?" }, { "ground_truth_answer": "Roughly under", "label": "maintain", "question": "Relative to the 0 tick, where is the circle vertically?" }, { "ground_truth_answer": "Large", "label": "editing", "question": "Considering the three size options {small, medium, large}, which label best describes the size of the only black circle on the right side of the image?" }, { "ground_truth_answer": "Thin", "label": "editing", "question": "For the circle on the right side of the image, is the outer boundary line drawn with a thin or a thick stroke?" }, { "ground_truth_answer": "−3", "label": "maintain", "question": "What label is at the left end of the horizontal segment inside the circle?" }, { "ground_truth_answer": "Downward", "label": "maintain", "question": "In what direction does the vertical segment extend from the center?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What color is the background?" }, { "ground_truth_answer": "About the same length.", "label": "maintain", "question": "Compare the circle’s diameter to the spacing between adjacent tick marks on the number line: is the diameter shorter, longer, or about the same length as the distance from the −1 tick to the 0 tick?" } ]
math
Enlarge the circle below the number line while leaving all other elements unchanged.
[ { "ground_truth_answer": "Top", "label": "maintain", "question": "Where is the label \"Geometric Construction\" placed?" }, { "ground_truth_answer": "Blue", "label": "maintain", "question": "What is the circle's color?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What is the circle's line style?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "What is the circle centered at?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "What color is point O?" }, { "ground_truth_answer": "O", "label": "maintain", "question": "Where do the diameters cross?" }, { "ground_truth_answer": "Upper half", "label": "maintain", "question": "Where within the circle is chord CA located?" }, { "ground_truth_answer": "C and A", "label": "maintain", "question": "Which points are the endpoints of chord CA?" }, { "ground_truth_answer": "Right boundary", "label": "maintain", "question": "Where is point A located on the circle?" }, { "ground_truth_answer": "Upper-left arc", "label": "maintain", "question": "Where is point D located on the circle?" }, { "ground_truth_answer": "Downward to the right.", "label": "editing", "question": "Considering the straight segment connecting points D (left) and B (right) near the top of the circle, as you move from D to B (left to right), does chord BD slope upward, downward, or remain horizontal?" }, { "ground_truth_answer": "Clockwise", "label": "maintain", "question": "In circular order, where is B relative to D?" }, { "ground_truth_answer": "Solid", "label": "maintain", "question": "What is the line style of segment A–B?" }, { "ground_truth_answer": "C", "label": "maintain", "question": "From which chord endpoint does segment C–D rise?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "To which point does segment A–B go?" }, { "ground_truth_answer": "M", "label": "maintain", "question": "Where do the extensions of C–D and A–B intersect?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What is the line style of segment M–D?" }, { "ground_truth_answer": "Dashed", "label": "maintain", "question": "What is the line style of segment M–B?" }, { "ground_truth_answer": "Extension of A–B", "label": "maintain", "question": "Which extension is represented by segment M–B?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "What color dot marks point C?" }, { "ground_truth_answer": "Red", "label": "maintain", "question": "What color dot marks point D?" }, { "ground_truth_answer": "Text label", "label": "maintain", "question": "What annotation marks point D in addition to a red dot?" }, { "ground_truth_answer": "Text label", "label": "maintain", "question": "What annotation marks point M in addition to a red dot?" } ]
math
Move vertex B clockwise along the circle, making the top chord BD tilt steeper and raising/lateral-shifting the intersection point M accordingly.
[ { "ground_truth_answer": "Cartesian", "label": "maintain", "question": "What coordinate system is used?" }, { "ground_truth_answer": "2D", "label": "maintain", "question": "How many dimensions does the plot have?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Are gridlines shown?" }, { "ground_truth_answer": "gray", "label": "maintain", "question": "What color are the gridlines?" }, { "ground_truth_answer": "5", "label": "maintain", "question": "What is the maximum x value shown?" }, { "ground_truth_answer": "6", "label": "maintain", "question": "How many labeled points are shown?" }, { "ground_truth_answer": "(0, 0)", "label": "maintain", "question": "What are the coordinates of point C?" }, { "ground_truth_answer": "(4, 0)", "label": "maintain", "question": "What are the coordinates of point D?" }, { "ground_truth_answer": "near (2.5, 1.0)", "label": "maintain", "question": "What are the approximate coordinates of point A?" }, { "ground_truth_answer": "near (3.2, 0.7)", "label": "editing", "question": "What are the approximate coordinates of point H?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a solid black segment between C and B?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a solid black segment between E and D?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a solid black segment between D and C?" }, { "ground_truth_answer": "rising", "label": "maintain", "question": "What is the slope direction of segment C–B?" }, { "ground_truth_answer": "gently rising", "label": "maintain", "question": "What is the slope direction of segment B–E?" }, { "ground_truth_answer": "4", "label": "maintain", "question": "At what x-value is segment E–D located?" }, { "ground_truth_answer": "A–H", "label": "maintain", "question": "With which segment is C–A colinear?" }, { "ground_truth_answer": "B–D", "label": "maintain", "question": "In the plot, the dashed segment connecting A and H lies on the same straight line as which other labeled segment: C–A, B–D, C–D, or E–D?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is there a dashed diagonal connecting B and D?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "What is the start point of the dashed line?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "What is the end point of the dashed line?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Does the dashed B–D line pass through H?" }, { "ground_truth_answer": "To the right of the dot.", "label": "maintain", "question": "In the plot, for the point marked H (the dot near x≈3.3, y≈0.7), where is the text label 'H' positioned relative to the dot (choose among left, right, above, below)?" } ]
math
Convert the dashed line between C and H into a solid line.
[ { "ground_truth_answer": "Geometric diagram.", "label": "maintain", "question": "The image shows a rectangle with vertices labeled A (bottom-left), B (bottom-right), C (top-right), and D (top-left), plus a diagonal line from D to B and side labels P and Q. What category of diagram is this (i.e., a geometric figure rather than a data chart)?" }, { "ground_truth_answer": "ABCD", "label": "maintain", "question": "What is the rectangle’s designation?" }, { "ground_truth_answer": "Upright", "label": "maintain", "question": "How is the rectangle oriented?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which side forms the bottom edge of the rectangle?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of side AB?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which side forms the right edge of the rectangle?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of side BC?" }, { "ground_truth_answer": "CD", "label": "maintain", "question": "Which side forms the top edge of the rectangle?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "What is the orientation of side CD?" }, { "ground_truth_answer": "AD", "label": "maintain", "question": "Which side forms the left edge of the rectangle?" }, { "ground_truth_answer": "Vertical", "label": "maintain", "question": "What is the orientation of side AD?" }, { "ground_truth_answer": "Bottom-left", "label": "maintain", "question": "Where is vertex A located on the rectangle?" }, { "ground_truth_answer": "Top-left", "label": "maintain", "question": "Where is vertex D located on the rectangle?" }, { "ground_truth_answer": "DB", "label": "editing", "question": "What is the label of the interior diagonal segment?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "From which vertex does segment DB start?" }, { "ground_truth_answer": "B", "label": "maintain", "question": "At which vertex does segment DB end?" }, { "ground_truth_answer": "AB", "label": "maintain", "question": "Which side carries label P?" }, { "ground_truth_answer": "BC", "label": "maintain", "question": "Which side carries label Q?" }, { "ground_truth_answer": "Near mid-height", "label": "maintain", "question": "Where on side BC is label Q placed?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color are the strokes?" }, { "ground_truth_answer": "Black", "label": "maintain", "question": "What color is the text?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" } ]
math
Remove the interior line that runs from the bottom-left corner to the top-right corner, leaving only the opposite diagonal.
[ { "ground_truth_answer": "square grid", "label": "maintain", "question": "What do the dots form?" }, { "ground_truth_answer": "two", "label": "maintain", "question": "How many horizontal light-gray bands are present?" }, { "ground_truth_answer": "Horizontal", "label": "maintain", "question": "Considering only the two light-gray shaded bands on the left half of the image (to the left of the central vertical dashed line), what is their orientation?" }, { "ground_truth_answer": "span the frame", "label": "maintain", "question": "What is the extent of the horizontal bands?" }, { "ground_truth_answer": "lower-middle", "label": "maintain", "question": "Which region of the image best describes the position of the lower of the two horizontal light-gray shaded bands: top, upper-middle, center, lower-middle, or bottom?" }, { "ground_truth_answer": "black dashed horizontal centerline", "label": "editing", "question": "What is at the center of each horizontal light-gray band?" }, { "ground_truth_answer": "solid black segment", "label": "maintain", "question": "What style does the upper centerline become?" }, { "ground_truth_answer": "right half", "label": "maintain", "question": "In which half of the frame is that intersection?" }, { "ground_truth_answer": "right edge", "label": "maintain", "question": "To what boundary does the solid segment extend?" }, { "ground_truth_answer": "narrow light-gray strip", "label": "maintain", "question": "What kind of region centers the second vertical dashed line?" }, { "ground_truth_answer": "vertical light-gray band", "label": "maintain", "question": "What kind of region centers the rightmost vertical dashed line?" }, { "ground_truth_answer": "adjacent to the right edge", "label": "maintain", "question": "Where is the band that centers the rightmost vertical dashed line located?" }, { "ground_truth_answer": "Intersections of the dashed horizontal and vertical lines.", "label": "maintain", "question": "In the diagram, the darker gray rectangles formed where the light-gray horizontal and vertical bands overlap—what do these darker rectangles indicate?" }, { "ground_truth_answer": "On the dot-centered columns and rows (the lines through the black dots).", "label": "maintain", "question": "In the diagram, the dashed vertical and horizontal crossing lines intersect at several points. Along which grid references are these crossings positioned—specifically, are they on the columns and rows that pass through the black dots?" } ]
math
Move the rightmost vertical dashed line one grid unit to the right.
[ { "ground_truth_answer": "P–B–C–D–P", "label": "maintain", "question": "What is the vertex order of the outer quadrilateral?" }, { "ground_truth_answer": "The top-left vertex, where segments PB and PD meet.", "label": "maintain", "question": "In the diagram, at which exact position is point P located relative to the figure’s outline? Identify the corner/vertex." }, { "ground_truth_answer": "At the right endpoint of segment BC (bottom edge).", "label": "maintain", "question": "In the diagram, along the bottom horizontal segment labeled BC, where exactly is point C located?" }, { "ground_truth_answer": "PD", "label": "maintain", "question": "On which segment does E lie?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is segment PB drawn?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is segment BC drawn?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is segment DP drawn?" }, { "ground_truth_answer": "Yes", "label": "maintain", "question": "Is segment AD drawn?" }, { "ground_truth_answer": "Matches", "label": "editing", "question": "How does AD's stroke thickness compare to other segments?" }, { "ground_truth_answer": "Down toward C, slightly left-leaning", "label": "maintain", "question": "What is the direction of EC?" } ]
math
Convert the dashed line between A and D into a solid line of the same thickness.
[ { "ground_truth_answer": "Rectangle", "label": "editing", "question": "What is the primary shape in the diagram?" }, { "ground_truth_answer": "D", "label": "maintain", "question": "Which letter labels the rectangle's upper-right corner?" }, { "ground_truth_answer": "Slightly to the right", "label": "maintain", "question": "Where is F located relative to B?" }, { "ground_truth_answer": "Straight", "label": "maintain", "question": "Is the segment from F straight or curved?" }, { "ground_truth_answer": "Closer to D", "label": "editing", "question": "Relative to A and D, where is the top-edge vertex positioned?" }, { "ground_truth_answer": "Down-right", "label": "editing", "question": "What is the direction of that short segment?" }, { "ground_truth_answer": "Just inside", "label": "editing", "question": "Where is the near-right interior vertex located relative to the rectangle?" }, { "ground_truth_answer": "To the left of CD.", "label": "maintain", "question": "Relative to the right edge CD of the square, is the rightmost interior vertex of the slanted polygon to the left of CD, on CD, or to the right of CD?" }, { "ground_truth_answer": "CD", "label": "editing", "question": "Which side is labeled P?" }, { "ground_truth_answer": "The edge toward the bottom-edge vertex on BC (the direction continuing to G) is longer.", "label": "maintain", "question": "At the interior vertex of the polygon inside square ABCD (the vertex located between the top-side point on AD and the lower-right point on BC), compare its two incident edges: the edge going downward-left to the bottom-edge vertex on BC that continues outside toward point G, and the edge going upward-left to the top-side vertex on AD near D. Which edge is longer?" }, { "ground_truth_answer": "G", "label": "maintain", "question": "To which vertex does this long segment extend beyond the rectangle?" }, { "ground_truth_answer": "Below BC", "label": "maintain", "question": "Where is G located relative to BC?" }, { "ground_truth_answer": "G and F", "label": "maintain", "question": "Which two vertices does the final segment connect?" }, { "ground_truth_answer": "White", "label": "maintain", "question": "What is the background color?" } ]
math
Move the polygon’s right-edge contact point one unit left along the rectangle’s right side, so the slanted side meets the rectangle slightly left of the edge instead of on it.
[ { "ground_truth_answer": "Cartesian", "label": "maintain", "question": "What coordinate system does the chart use?" }, { "ground_truth_answer": "Time (months)", "label": "maintain", "question": "What is the x-axis label?" }, { "ground_truth_answer": "10", "label": "maintain", "question": "What is the x-axis maximum value?" }, { "ground_truth_answer": "3 month", "label": "maintain", "question": "What annotation appears at x = 3?" }, { "ground_truth_answer": "5 month", "label": "editing", "question": "What annotation appears at x = 5?" }, { "ground_truth_answer": "80", "label": "maintain", "question": "What is the third y-axis tick value listed?" }, { "ground_truth_answer": "160", "label": "maintain", "question": "What is the fifth y-axis tick value listed?" }, { "ground_truth_answer": "200", "label": "maintain", "question": "What is the sixth y-axis tick value listed?" }, { "ground_truth_answer": "1", "label": "maintain", "question": "How many plotted lines are present?" }, { "ground_truth_answer": "100", "label": "maintain", "question": "Approximately what is the line's y-value?" }, { "ground_truth_answer": "80 and 120", "label": "maintain", "question": "Between which y-axis ticks is the line positioned?" }, { "ground_truth_answer": "black", "label": "maintain", "question": "What color is the border?" }, { "ground_truth_answer": "rectangular", "label": "maintain", "question": "What shape is the border?" } ]
math
Recolor the single horizontal curve from blue to red.