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coordinate
From the given graph, the x-intercept is 5, 5, -5, 6, 4.
Determine the x-intercept of t from the provided graph.
coordinate
Q, C
Choose the two points that match in x coordinate.
color
white
Tell me the color of the border of the heart.
interior
Y, U
List the points within shape parallelogram. As an illustration, if X, Y, Z lie within shape parallelogram, your answer should be "X, Y, Z".
rotation
The heart formed by a 45-degree rotation of V is J.
In the picture, out of hearts D, L, and J, which one can be formed by a 45-degree rotation of V?
intersection
0
What is the number of intersections between the line segment black and the curve green? Pick the right option from the parentheses to fill in the sentence. The line segment (color black) and the curve (color green) intersect in (0/1/2/3) points.
orientation
The arrows except N point clockwise direction.
There are four arrows labeled O, V, G, and N on a circle in the image. Except for one, all arrows point clockwise. Which arrow does not rotate the circle clockwise? Answer with the corresponding letter.
direction
My choice is the arrow 1. It has the most different direction from the others.
Choose the arrow in the picture with distinct direction from the others.
cardinal_direction
No, the pink line is located on the bottom side of the purple line.
Is the pink line located on the top side of the purple line?
interior
Points X are inside 8.
Among the points in the figure, which ones lie within 8? For example, if the points within 8 are A and B, write "A, B".
connectedness
There are 6 connected shapes in the given figure.
How many connected shapes are present in the given figure? As an example, if there were 14 connected shapes in the figure, the correct response would be "14".
similarity
Q
In the provided image, there are five shapes labeled as square. Identify which shape is not geometrically similar to the leftmost square. Provide the number of that shape from “Q”, “O”, “Z”, or “X”.
cardinal
2
What is the number of hexagons displayed in the image?
orientation
T
On the circular arrangement in the image, there are arrows V, R, M, and T. All but one arrow are directed clockwise. Which arrow is not contributing to the circle's clockwise rotation? Provide the arrow's letter.
reflection
The shapes in figure V seem to demonstrate line symmetry concerning the given line.
Out of figures C, A, Y, and V in the image, which one most likely shows two shapes that are mirror reflections across the separating line?
intersection
Yes, they do intersect.
Do the curve CO and the curve KV cross each other?
rel_pos
brown point.
Between purple and brown, which color's point is the center of the lightcoral circle?
orthogonality
Point H would be projected to Z.
Among the points B, H, C, which would be projected to Z by the orthogonal projection to the line?
cardinal
3
How many line segments are in the image? Answer in a number.
angle
The grey angle is the largest.
Among the figures in the image, which color's figure has the largest angle?
tangency
red
Identify the color of the curves that are tangent to the yellow line at point O. You must choose your answer from red, green.
direction
The direction of the arrow is right.
What is the direction of the arrow, left or right?
parallel
No, line g and line b are not parallel.
Are line g and line b parallel?
symbol
The correct option is (A).
What does the red symbol mean? Choose the correct option. (A) Angle HES and JEH are equal. (B) Angle HES and JES are equal. (C) Angle HES and JEH forms a right angle. (D) Line JE and ES have the same length.
interior
Points E, L, O, U are inside 2.
Among the points in the figure, which ones lie within 2? You must choose from Nothing, D, X, K, C, Q, Z, E, L, O, U, J, I, B, G, V, F.
similarity
Triangle(GAT)
From Triangle(GAT), Triangle(YKU), Triangle(QNZ), and Triangle(HLO), identify the triangle that is not similar to the rest, while the others are mutually similar.
OCR
z
Pairs of alphabets and numbers in the image. Which alphabet is paired with number 7?
coordinate
cyan
Which point has the same y coordinate as the point colored orange, and what is its color?
absolute_position
(2) point R
There are several different objects in the image. When the image is divided into four quadrants, which object is in the top left quadrant? Answer with a single number between 1 and 4. (1) point U (2) point R (3) line QG (4) circle L
orientation
4213
In the provided rhombus, numbers 1 to 4 are placed at each vertex. Starting from the top vertex with number 4 and reading clockwise, what sequence do you obtain? Respond with 'abcd'.
rotation
N
Among shapes N, R, and Y in the image, which one cannot be obtained solely by rotating shape F on the 2D plane?
line
purple
Between points green and purple, which is the color of the straight line connecting T and M?
texture
Yes, the lines style of line v is dashed.
Is the line style of line v dashed?
overlap
There is no intersection or overlap within the interiors of the two squares.
Are the interiors of the two squares in the image overlapping?
sharpness
Yes, the curve is pointy.
Is the curve in the image pointy?
reflection
G
From the given figures C, M, G, and L in the image, which figure best represents two shapes that are mirror images of each other along the dividing line?
parallel
There are 0 parallel pairs in the image.
How many parallel pairs of lines are there in the image?
reflection
J is the shape that is line symmetric.
The image contains four sub-images. Three of them lack line symmetry, but one of them is line symmetric. Choose the line-symmetric sub-image from J, C, H, or R.
OCR
O
Pairs of alphabets and numbers in the image. Which alphabet is paired with number 7?
congruence
not congruent
Are the two triangle in the figure congruent or not?
shape
The arrow is pointing to a triangle.
What is the shape that an arrow is pointing to?
intersection
cyan
Which curve color corresponds to the maximum intersections with the blue-colored line? Select one word from the parentheses to complete the sentence. The curve with the most intersections with the line colored blue is colored (cyan/black/yellow).
curvature
black
Which curve belongs to a circle? You must choose from pink, black, green, cyan, blue.
coordinate
Point I has the same theta coordinate as point K.
Find the label of the point that matches point K in its theta coordinate (polar).
symbol
The lines DH and QD have the same length.
Choose the correct option that describes the image. The lines (QD and HQ / HQ and DH / DH and QD) have the same length.
overlap
There is no intersection or overlap within the interiors of the two squares.
Are the interiors of the two squares in the image overlapping?
rotation
The triangle made by 90 degrees rotation of X is A.
There are four triangles in the picture. Among triangle A, B, and C, choose the triangle that can be made by 90 degrees rotation of X.
area
Category P holds the highest ratio.
Based on the pie graph featuring two categories in the image, which category holds the highest ratio? Select from P and U.
rotation
A
In the image, out of triangles A, B, and C, which one is formed by rotating X by 90 degrees?
rotational_symmetry
0
Among the shapes numbered H and their rotations, determine which one exhibits 4-fold rotational symmetry. 'Rotated H' corresponds to a 90-degree rotation of shape H. Provide your answer as a single number.
boundary
cyan
Among the stacked ellipse, can you tell me the color of the outermost boundary? The color should be one from purple, brown, red, cyan.
cardinal_direction
point D is located on the top side of point R.
Between point D and point R, which one is located on the top side of the other?
color
brown, silver, gold, green, yellow, purple.
There are several points in the image. List all the colors of the points.
orientation
Arrows are pointing clockwise.
In the image, 6 arrows are on a circle. Are they pointing clockwise or counterclockwise? Choose one from ‘clockwise’ and ‘counterclockwise’.
color
QO
In the given diagram, what line is green?
boundary
No, the shape does not show a distinct boundary color; the boundary color isn’t observed to differ from its purple interior.
Does the shape in the provided figure have a boundary colored differently than its interior?
area
W
In the image, there is a pie graph with six categories. Which category has the largest ratio? Choose from T, U, Q, W, Y, and B.
boundary
CI
What is the name of the line segment separating area 5 and area 9?
interior
orange
List the colors of all points beyond shape ellipse. C
length
UN
Which line is shorter, line UN or line LC?
length
No, it is longer than the length of the green line.
is the distance between points V and A shorter than the length of the green line
point
8
Among the labels 8, 1, 3, 5, and 9, which one represent the only point?
direction
4
Which arrow is pointing outwards from the center of the image?
reflection
UK
There are two shapes in the image that are reflections of each other. Identify the most probable line of reflection from lines UN, UL, UK, and UO.
angle
No, the sum of the angles of yellow and purple does not exceed 180 degrees.
Does the sum of the angles from color yellow and purple exceed 180 degrees?
rel_pos
brown point.
Between purple and brown, which color's point is on the pink circle's boundary?
boundary
Yes
Is the boundary of the rectangle, which is brown inside, formed exactly by the black-colored line? The response must be either Yes or No.
cardinal_direction
red line
Between red line and grey line, which one is located on the top right side of the other?
congruence
We confirm that the two triangle are congruent.
We have two triangle provided in the figure. Are those shapes congruent or not?
area
Area R covers a smaller area compared to area U.
Select the appropriate word from the parentheses to describe the image: In the image, area R covers a (larger/smaller) area compared to area U.
intersection
2
Can you tell me the number of intersection points on the boundaries of these two shapes? Pick the right answer from 2, 3, 4, 5, 6, 7, 8, 9.
width
Bar v.
Between bar i and bar v, which is wider?
orthogonality
Y
Among R and Y, which lies in the inverse image of X about the orthogonal projection to the line?
convexity
The convex intervals are Before 1, Between 2 and 3, After 4.
Which intervals are convex if the function is split at the marked point? Pick the correct segments from Before 1, Between 1 and 2, Between 2 and 3, Between 3 and 4, After 4.
shape
hexagon
Which shape is labeled as Z?
cardinal
3
What is the count of points in the image?
OCR
The circled letter is y.
I circled on some letter in the word myriapod. Which letter is circled?
tangency
No
Are the <1> and line segment shown in the figure tangent to each other?
adjacency
2, 7
Identify the neighbors of 9 in the given matrix. F
ordinal
T
Looking at the image with various letters, identify the letter that is third below the top. Consider whether it's uppercase or lowercase.
absolute_position
1
There are several different objects in the image. When the image is divided into four quadrants, which object is in the top right quadrant? Answer with a single number between 1 and 4. (1) circle L (2) point U (3) point T (4) point E
convexity
Identify all the regions that qualify as convex in the function. Pick the correct items in parentheses. In the function, convex regions include (1/2/3/4/5).
intersection
The curve(s) that achieve the maximum intersections with the orange-colored line is cyan.
Determine which curve(s) yield the highest intersection count with the line segment colored orange. The answer must be selected from green, pink, red, purple, cyan.
direction
43715
Following the direction of the arrow, read the numbers.
width
Road s.
Which road is the widest? Choose from: s, q.
angle
B is acute, and others are obtuse.
Among the angles B, O, J, and F, which of them are acute??
cardinal
The image contains 2 unique shapes.
How many different shapes are there? If there are multiple shapes that look exactly alike, count them as one. The answer should be a number.
orthogonality
N
Which is the foot of the dot K? Choose from : N, G.
connectedness
6
Determine the count of connected components in the graph where edges link some of the 9 nodes.
length
It would be 30 units, because JI is thrice as long.
If line TO measures 10 units, how long is line JI?
rel_pos
x is on the rosybrown circle's boundary.
Between c and x, which point is on the rosybrown circle's boundary?
cardinal
2
Can you tell how many unique shapes are present in the image?
intersection
They intersect at 0 points.
Identify the total intersection points that occur when the line segment cyan intersects with the curve green.
intersection
There are 3 intersection points between the line segment YL and the curve MQ.
What is the count of intersection points formed by the line segment YL and the curve MQ?
rel_pos
L represents the center of the white circle.
Among U, L, which point represents the center of the white circle?
color
The color I is different from the others.
There are multiple colors in the image. All the colors are same except one. Which color is different from the others?
color
The color of the hexagon is gold.
What is the color of the hexagon?
ordinal
Letter A is located at (2, 3).
In the image, a table displays unique letters. Determine the position of letter A. Provide your answer as (row, column). For instance, I is located at (3, 2) and F is at (3, 3).
tangency
Yes
In the provided illustration, do the two curves of different colors touch at a tangent?
absolute_position
(6) yellow
In the image, there are several different objects. Which is the color of the object in the bottom left of the image? Answer with a single number between 1 and 6. (1) purple (2) brown (3) green (4) orange (5) pink (6) yellow
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