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How many 'D's are there in the image? Pick from 3, 4, 5, or 6.
The number of 'D's is 3.
cardinal
Is the grey curve sharpest at C?
No
sharpness
Identify the pair of points in polar form whose theta coordinates coincide.
Those two points are I and G, sharing the same theta coordinate.
coordinate
From the polar diagram, which point is noted to possess the smallest theta coordinate?
We see that point M holds the smallest theta coordinate.
coordinate
Which parts of the function are convex? P
convexity
The image shows two line-symmetric shapes. Among the lines XV, XW, XD, and XH, which one serves as the line of reflection?
XD
reflection
Only by looking at the solid lines, what shape can you see?
I can see a pentagon.
texture
Refer to the image's pie chart that contains four segments. Which segment represents the highest proportion? Select from P, U, W, or R.
R
area
Where does point Y appear on the quadrant grid?
2
coordinate
Find the red line in the image.
RQ
color
In the image, there is a cycle. What is the direction of the cycle, clockwise or counterclockwise? You may use arrows in the image as hints. Choose your answer from ”clockwise” or ”counterclockwise”.
clockwise
orientation
Among the given options, which doesn't exist in the image? Options: D, R, B, Q, O, none
R
OCR
Is the curve in the image differentiable?
No
sharpness
Which road is the widest? Choose from: o, i, d.
Road o.
width
Which road is the narrowest? Choose from: d, h.
Road d.
width
Observe the figure. Which of these colored curves is part of a circle? The correct response should be one of brown, yellow, orange, red, cyan.
The curve that is part of a circle is colored yellow, red, orange.
curvature
How many 'C's are there in the image? Pick from 3, 4, 5, or 6.
The number of 'C's is 4.
cardinal
Observe the rectangle with its interior in yellow and a line drawn in brown. Does this brown-colored line form the precise boundary of the rectangle?
No, the brown-colored line does not form the precise boundary of rectangle.
boundary
Which color is the foot of the yellow dot? Choose from : orange, purple, grey, green, red.
The foot of the yellow dot is the green dot.
orthogonality
In the image, do the two circles have any overlapping interior spaces?
The interiors of the two circles do not overlap.
overlap
Are line CD and the diameter of the circle centered at I equal in length?
No
length
Two rectangle are provided. Are they congruent or not? C
congruent
congruence
There is a shape that is formed by the dotted lines. How many sides does the shape have?
4
texture
Between shapes N and S, which one most likely possesses 6-fold rotational symmetry? That is, which shape retains its appearance after a 90-degree rotation about a point? The answer should be a single number.
N
rotational_symmetry
State the color of the convex lens among the given ones. The answer must be selected from red, cyan, pink, brown, green, black, yellow, purple.
black
convexity
Does the green-colored line perfectly outline the rectangle that has a cyan-colored interior?
Yes
boundary
Choose the correct option. The foot of point X is B/S/K/R/C.
B
orthogonality
In the image, there are several different objects. Which object is in the top of the image? Choose from : circle R, circle G, circle M, circle E, point O, point K, point Y, circle P, .
circle M
absolute_position
Which color appears on the outermost edge of the overlapping circle in the figure? P
purple
boundary
How many line segments are in the image? Answer in a number.
3
cardinal
In the image, five instances of star are present. Identify which shape is not geometrically similar to the first star on the left. Provide the number corresponding to that shape as “V”, “P”, “M”, or “B”.
B
similarity
Do angles C and V add up to more than a right angle?
No, angles C and V do not add up to more than a right angle.
angle
According to the symbol, two lines (are parallel / have the same length). What is the correct option?
According to the symbol, two lines have the same length.
symbol
Choose between shapes labeled W and S: which one most likely has 6-fold rotational symmetry? The answer must be a single number.
Label W is associated with 6-fold rotational symmetry.
rotational_symmetry
Out of labels 9, 3, 2, 0, and 1, which one does not correspond to a point?
Label 9 does not correspond to any point.
point
Does the figure depict a tangent relationship between the line and curve?
Yes
tangency
In the figure, we have congruent triangle. Identify the corresponding side of ZW. The answer must be selected from JN, NS, SJ.
SJ
congruence
What shape is in the image? i. parallelogram ii. isosceles triangle iii. pentagon
There is i parallelogram in the image.
shape
Between road k and road j, which is wider?
Road j.
width
Which line, among BK, BH, BI, and BW, is most likely the reflection axis where point Z reflects to point Y?
BK
reflection
What color is the line DS in the given picture?
maroon
color
Does the curve BU meet the curve JZ?
Yes
intersection
Among the four triangles in the image, which one among R, C, and T can be obtained by rotating triangle N by 90 degrees?
R
rotation
Examine the circle in the image with 6 arrows. Do these arrows point clockwise or counterclockwise? Answer with 'clockwise' or 'counterclockwise'.
clockwise
orientation
Which side of the figure is the point L located, top right, top left, bottom right, or bottom left?
Top left
absolute_position
The image displays a rhombus with numbers 1 through 4 at each corner. Begin at the top vertex labeled 4 and read the numbers in a clockwise direction. What is the resulting sequence? Provide your answer as 'abcd'.
The resulting sequence is 4312.
orientation
Could you find the number of intersections between the line segment TH and the curve LY? Pick the right option from the parentheses for the sentence. The line segment TH and the curve LY intersect in (2/3/4) points.
Pick the right option from the parentheses for the sentence. The line segment TH and the curve LY intersect in 4 points.
intersection
Identify the colors of the shapes that lie in shape ellipse. Select your answer from pink, cyan, purple.
pink, cyan
interior
Within the image, a circle exhibits symmetry around a specific point. Specify the label (U, O, M, or B) for the center of this symmetry. For instance, if the point is X, your response should be "X".
Point B acts as the rotational center of symmetry.
rotational_symmetry
Between points orange and brown, which is the color of the round curve connecting D and E?
orange
line
How many connected shapes does the figure have? As an example, if there were 17 connected shapes in the figure, the correct response would be "17".
6
connectedness
Examine the provided matrix containing an element labeled t. List all elements that share a direct edge (up, down, left, right) with t.
Those elements adjacent to t are g, b, d, h.
adjacency
Is line HF longer than the distance between point R and G?
No (equal)
length
Can you count the points in the given image?
3
cardinal
Which two points in the figure have the same y coordinate? Please select them.
Points K and J share the same y coordinate.
coordinate
Is the boundary of the rectangle, which is brown inside, formed exactly by the yellow-colored line? Select Yes or No as the correct answer.
Yes
boundary
In the image, is the road getting wider or narrower when moving down?
The road is getting wider.
width
Does triangle LZF have an obtuse angle?
Yes, triangle LZF has an obtuse angle.
angle
The given image contains four sub-images labeled as P, S, H, and R. Three of them are line symmetric, but one is not. Choose the shape without line symmetry from P, S, H, or R.
P
reflection
Which shape is indicated by the arrow?
heptagon
shape
There are several different objects in the image. When the image is divided into four quadrants, which is the color of the object in the bottom right quadrant? Answer with a single number between 1 and 3. (1) orange (2) yellow (3) grey
2
absolute_position
Is line SR longer than line LC?
No, line SR is shorter than line LC.
length
Are the interiors of the two squares in the image overlapping?
There is no intersection or overlap within the interiors of the two squares.
overlap
In the image, 6 arrows are on a circle. Are they pointing clockwise or counterclockwise? Choose one from ‘clockwise’ and ‘counterclockwise’.
Arrows are pointing clockwise.
orientation
Which two points have the same y coordinate? Please provide their colors.
The points with colors purple and orange share the same y coordinate.
coordinate
The image contains two triangles. Do their interiors overlap?
The interiors of the two triangles do not overlap.
overlap
Which circle has the largest absolute curvature among those shown? S
blue
curvature
Choose the correct option. The foot of point B is Q/D/C/I.
The foot of point B is D.
orthogonality
Select the appropriate words from the parentheses to describe the image: In the image, area U covers a (larger/smaller) area compared to area R, and area R covers a (larger/smaller) area compared to area L.
Area U covers a larger area compared to area R, and area R covers a larger area compared to area L.
area
What is shape 3?
Shape 3 is equilateral triangle.
shape
In the given picture, is there any circle with gold color?
No
color
We see two congruent triangle. Which vertex pairs with F? Please select the correct vertex from G, K, T.
T
congruence
There are three pairs of shapes in the image labeled "S", "L", and "P". Determine which pair has a similarity relationship geometrically. Your answer should be one of “S”, “L”, or “P”.
P
similarity
In the image, there is a khaki polygon. How many pairs of parallel lines are there in the image?
1
parallel
Between R and W, which is the endpoint of the purple line?
W.
line
Among brown, green, orange, red, purple, pink, blue, grey, which color's point is most likely to be the center of the rosybrown circle?
red point.
rel_pos
Can you find and count all the circles in the image?
There are 2 circles present in the image.
cardinal
Which shape is labeled as 7?
plus is labeled as 7.
shape
There are 4 shapes in the image. Choose the shape that is drawn with different line style from the others.
star
texture
Identify the tangent points among the intersection points of the line and curve shown in the figure. Select the correct term from the parentheses to finish the sentence: The line and curve in the figure have tangent points (L/J/F/H/M).
The line and curve in the figure have tangent points M.
tangency
Which colors belong to the regions that border the red region? The valid choices for the answer are contained in black, blue, green, yellow, orange, purple, pink, brown, cyan.
blue, brown, yellow, black, pink
adjacency
Can you find and count all the hearts in the image?
There are 2 hearts present in the image.
cardinal
Which elements in the matrix are next to G? P
p, n
adjacency
In this graph, can you determine which nodes are connected to node 7?
Those connected to node 7 are 6.
connectedness
Among shapes A, B, and C in the image, which one cannot be made solely by rotating shape O on the 2D plane?
A
rotation
What is the word that is flipped in the image?
unintellectualism
OCR
What color belongs to the concave shape? S
pink
convexity
Is the orange curve in the image smooth?
Yes
sharpness
It is difficult for me to read the flipped word. Can you help me?
fertility
OCR
There are 3 arrows scattered on the given image. Find the arrow that has most different direction from the others.
3
direction
Choose the word in parentheses that correctly describes the image: In the given image, area R occupies a (larger/smaller) region than area V, and area V occupies a (larger/smaller) region than area U.
Area R occupies a larger region than area V, and area V occupies a smaller region than area U.
area
Which side of the line ZL is the line YS located, left or right?
The line YS is located on the right side of the line ZL.
cardinal_direction
Is the red curve more pointy at I or U?
I.
sharpness
From the figure, which colored curve is actually part of a circle? From the options in parentheses, identify the color of the curve that is part of a circle: (yellow/green/red/cyan/black/pink/orange/brown).
That curve is colored pink, black, yellow, brown, cyan, forming part of the circle.
curvature
How many connected shapes are present in the given figure? For instance, suppose the figure has 13 connected shapes; then you should answer "13".
There are 4 connected shapes in the given figure.
connectedness
Determine the colors of the points located within 5 according to the figure. For example, if the colors of points within 5 are red and blue, you should write "red, blue". Select from Nothing, pink.
Nothing is inside that area.
interior
Among the points on the line, which is the foot of S?
E
orthogonality
Which side of the figure is the red point located, left or right?
The red point is located on the left side of the figure.
absolute_position
There is an arrow in the image. What is the direction of the arrow?
It is directed to the down-left.
direction
is the distance between points E and N shorter than the length of the pink line
No, it is longer than the length of the pink line.
length
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