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Two shapes depicted in the image are line-symmetric to each other. Among lines KW, KN, KU, and KR in the image, which one is most likely the line of reflection?
Line KU.
reflection
Based on the pie graph featuring five categories in the image, which category holds the highest ratio? Select from R, V, Y, U, and L.
Category U holds the highest ratio.
area
In the image, four shapes labeled W, B, M, and Q are present. Identify the pair of shapes that are similar. Provide your answer as a pair of labels in alphabetical order, such as “X, Y.”
The similar pair of shapes are “M.”
similarity
In the image, is the road getting wider when moving down?
No, the road is getting narrower.
width
Two congruent triangle are shown. Which vertex corresponds to H?
S
congruence
According to the blue symbol, which two sides in this shape have the same length?
RI and RY
symbol
Between XM and XF, which is NOT the line present in the image?
XM.
line
In the figure shown, how many connected shapes can be observed? As an example, if there were 9 connected shapes in the figure, the correct response would be "9".
You can observe 4 connected shapes in the figure.
connectedness
Is there a tangent relationship in the diagram between the line and the curve?
No
tangency
Which type does the lens belong to: concave or convex?
It is concave.
convexity
Is the curve in the image differentiable at Q?
No
sharpness
According to the symbol in the image, what is the relationship between two lines?
They have the same length according to the green symbol.
symbol
In the image, there are 4 shapes with labels J, Q, H, and S. Three of them are similar and one of them is not. Which is not similar to the other shapes? Tell me the label indicating that shape. You should choose your answer from J, Q, H, and S.
J
similarity
In the picture, the label of the only point is the one located right next to it. Which label among I, P, O, Z, and T represents this point?
Label I represents the only point in the picture.
point
Let me know the shape that is in the both parts of the divided image.
triangle
shape
Letters placed on a circle in the image form the word EAML when read clockwise or counterclockwise. Which direction should you use? Clockwise or counterclockwise?
clockwise
orientation
Look at the image and tell me the label of the dotted line.
3
texture
Guess the point that would be projected to O by the orthogonal projection to the line.
Point B would be projected to O.
orthogonality
Choose the arrow that is pointing outwards from the center of the image.
1
direction
What is the total number of curves that intersect with the line blue? False
2
intersection
In the presented figure, how many connected shapes are there?
4
connectedness
Is the grey dot on the blue line?
No, grey dot not on blue line.
rel_pos
State the line style of the green colored line.
dashdot
texture
Does angle XKN measure less than a right angle?
Yes
angle
Which triangle, out of Triangle(BPG), Triangle(HTF), Triangle(QSM), Triangle(KDU), and Triangle(NYI), in the image is least likely to represent a rotation of Triangle(WLJ) around point R?
Triangle(BPG)
rotation
Look at the diagram showing two colored curves. Do they meet tangentially?
No, they do not meet at a tangent point.
tangency
List the colors of all points beyond shape triangle. C
red, pink
interior
In the picture, there are four triangles. Among triangles A, B, and C, which one can be created by rotating X by 90 degrees?
A
rotation
Within the image, a triangle exhibits symmetry around a specific point. Specify the label (E, P, J, or U) for the center of this symmetry. For instance, if the point is X, your response should be "X".
P
rotational_symmetry
You can see a letter is circled. Is the circled letter o?
No, the circled letter is :.
OCR
Between points red and yellow, which is the color of the straight line connecting K and C?
yellow
line
Which points are located outside shape rectangle? The answer must be chosen from R, O, P, A, L.
Those points outside shape rectangle are A, R, P, L.
interior
Among the five triangles shown in the image, select the one that is not geometrically similar to the leftmost triangle. What number corresponds to that shape? Your options are “W”, “J”, “F”, or “N”.
J
similarity
In the given figure, multiple layers of parallelogram are shown. What is the color of the outermost boundary? Fill in the blank from the parentheses. The outer boundary is yellow/cyan in this diagram.
The outer boundary is cyan in this diagram.
boundary
Choose the correct option. The orange/grey/purple/brown dot's orthogonal projection on the line is the pink dot.
orange
orthogonality
Are points U and V joined by a line with no breaks?
Yes, the line between points U and V shows no interruptions.
connectedness
What color is the box containing text "pterotheca" in the given picture?
The box containing text "pterotheca" is black.
color
Examine the cycle shown in the image. Based on the arrows, is the cycle's direction clockwise or counterclockwise? Answer with 'clockwise' or 'counterclockwise'.
clockwise
orientation
There are two congruent shape in the diagram. Which side is paired with EN? The correct side should be chosen from AM, MY, YZ, ZS, SF, FW, WU, UA.
ZS
congruence
There is a gradation of colors in the image. How many lines are interrupting the gradation?
3
color
What is the meaning of the red and green symbols in the image?
answerlessly
symbol
Observe the figure with several lines drawn. Please indicate which are line segments (as opposed to curves) by their color. Suppose the red line alone is straight, and all others are curves; in that case, you should answer 'red'. You must select from purple, green, blue, yellow, cyan, orange, pink.
Those line segments are colored cyan, purple, orange, pink.
curvature
Between AJ and MV, which is NOT the line present in the image?
AJ.
line
The figure shows two shape. Are these figures congruent or not? From the parentheses, choose the correct term to complete the sentence: The two shape are (congruent/not congruent).
Hence, the two shape are congruent.
congruence
Is line HJ perpendicular to line AM in the image?
No
orthogonality
In the 2D graph, three points are marked. Which point holds the second-highest position? Select from A, X, or H.
Point X holds the second-highest position.
ordinal
There is a circle with letters on the image. Read the letters in clockwise order starting from Q (including Q). For example, if you can read A, B, C, and D, your answer should be “ABCD”.
My answer is QOZF.
orientation
In the diagram with 4 curves and a yellow line, which curves meet the line tangentially at Q? State their color. You must choose your answer from blue, purple, green, orange.
green
tangency
There are various shapes in the image. Only one of them has a different color. What is that shape?
star
shape
Identify the label among 8, 6, 1, 2, and 3 that does not depict a point.
8
point
Can you tell me which point exhibits the smallest x coordinate?
Point G is the one with the smallest x coordinate.
coordinate
Find all the dashed lines in the diagram. How many are there?
2
texture
Is the line connecting point Q and point G continuous and unbroken?
Yes, the line connecting point Q and point G remains fully connected.
connectedness
Between bar f and bar d, which is wider?
Bar f.
width
What is written in the image?
Father your message set campaign. Reduce president service case approach. Though camera financial nothing within detail plant. Professional fast put former south physical analysis structure.
OCR
There are pairs of alphabets and numbers in the image. List all the pairs you see.
I can find 7Y, 6U, 1W, 5K, 4E.
OCR
The line AD is located on the (top right/top left/bottom right/bottom left) side of the circle U.
The line AD is located on the top right side of the circle U.
cardinal_direction
Which shape among A, B, and C in the image can be generated solely by rotating shape O on the 2D plane?
C
rotation
Is there an intersection point along the boundaries of the two shapes?
No, there is no contact between them.
intersection
Does the line linking the two points of color pink remain fully connected?
Yes, the line linking the two points of color pink is fully connected.
connectedness
Which triangle among Triangle(JGP), Triangle(DOH), Triangle(XMB), and Triangle(YCI) lacks similarity with the rest, while the remaining triangles are similar?
Triangle(JGP) is not similar to the other triangles, while the remaining ones are similar.
similarity
In the image, do the two circles have any overlapping interior spaces?
The interiors of the two circles do not overlap.
overlap
You have a rectangle whose interior is red and a blue-colored line surrounding it. Does this blue-colored line completely outline the boundary of the rectangle?
Yes, the blue-colored line completely outlines the rectangle as its boundary.
boundary
Do VX and MO run parallel to each other?
No.
parallel
Looking at the image with various letters, identify the letter that is third below the top. Consider whether it's uppercase or lowercase.
The letter J is located third below the top.
ordinal
Can you count the points in the given image?
There are exactly 3 points visible in the image.
cardinal
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
Observe the two curves of varying colors. Are they tangent in the given diagram?
Yes, they are tangent in this diagram.
tangency
Select the shape in parentheses that correctly describes the overlap. Rewrite the sentence using the chosen shape. The purple and orange regions overlap, and the resulting intersection is a (triangle/square/pentagon/circle).
The purple and orange regions overlap, and the resulting intersection is a triangle.
overlap
Among the triangles Triangle(HGV), Triangle(SJM), Triangle(BYR), Triangle(OXF), and Triangle(ZCN) in the image, which one is the least probable rotation of Triangle(DLP) around Q?
Triangle(HGV)
rotation
In the image, there are several different objects. Which is the color of the object in the left of the image? Answer with a single number between 1 and 7. (1) blue (2) pink (3) orange (4) green (5) grey (6) yellow (7) red
(1) blue
absolute_position
Choose the correct option. (i) Line RF is orthogonal to line XC. (ii) Line VO is orthogonal to line XC.
(i)
orthogonality
Among orange, brown, pink, grey, which curve is a straight line in the image?
grey.
line
In the image, triangles Triangle(EIW) and Triangle(STA) share a point-symmetric relationship. Which point among R, L, P, O, and C is most likely to be the point of symmetry?
R
rotational_symmetry
Does the sum of the angles from color grey and purple exceed 180 degrees?
No, the sum of the angles of grey and purple does not exceed 180 degrees.
angle
Which colors belong to the regions that border the brown region? You must choose your answer from among black, red, blue, green, yellow, orange, purple, pink, cyan.
yellow, purple, black, pink
adjacency
For the orange rectangle you see, does the height exceed the width, or does the width exceed the height?
The width
length
The image displays letters on a circle that spell the word LVPM when read clockwise or counterclockwise. Which direction should be used? Clockwise or counterclockwise?
counterclockwise
orientation
Identify the colors of the shapes not contained by shape triangle. Choose the correct colors from yellow, black, blue.
yellow
interior
In the image, there is a burlywood polygon. How many pairs of parallel lines are there in the image?
There are 1 pairs of parallel lines in the image.
parallel
Does the interior region of one circle overlap with the other in the image?
The interiors of the two circles do not overlap.
overlap
Among sy, pb, choose the correct option that does not refer to any line in the image.
sy is the correct option.
line
Out of J, W, F, Q, and B, determine the label that refer to the only point in the given picture.
J
point
Considering figures I, R, Z, and M in the image, which one most likely features two shapes that are symmetrical reflections of each other with respect to the dividing line?
R
reflection
There are five hexagons in the image. Choose the shape that is not geometrically similar to the leftmost hexagon. What is the number indicating that shape? Your answer should be “I”, “D”, “J”, or “N”.
D
similarity
In the image, there is a gradation of colors. How many lines are splitting the gradation?
The gradation is split by 5 lines.
color
Between blue line and orange circle, which one is located on the top side of the other?
blue line is located on the top side of orange circle.
cardinal_direction
At which point is the pink curve sharpest? Choose from : Z/A/U.
The pink curve is sharpest at Z.
sharpness
Pick the correct term from the options in parentheses to accurately describe the image: Area P takes up a (larger/smaller) portion than area U.
larger
area
Do the shape and the line segment in the illustration form a tangent?
Yes
tangency
The only point in the picture is labeled with the label right nest to it. Which label among 9, 1, 2, 8, and 7 denotes the label of the only point in the picture?
9
point
Among the edges of the triangle PJT, find a pair with equal lengths.
There are no pairs of equal lengths.
length
What side has the same length with the side DC? Hint: Look for the red symbol.
AC
symbol
Would you say the line for the pink-colored points is uninterrupted?
No
connectedness
Observe the two curves of varying colors. Are they tangent in the given diagram?
Yes, they are tangent in this diagram.
tangency
In the image, out of triangles C, V, and R, which one is formed by rotating Z by 90 degrees?
V
rotation
Identify the connected components in the figure and present them in the required list format. Suppose there's a graph with nodes labeled from 1 to 9, and [[0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0]] represents the adjacency matrix indicating connections (1) or lack thereof (0). In this case, your answer should be formatted like [[4, 6, 8, 2, 7, 3, 5, 1, 9]].
[[1, 2, 9, 5, 7, 3, 6, 8, 4]]
connectedness
Observe the two congruent triangle in the figure. Which vertex pairs with T? Choose the vertex from I, F, R.
The vertex paired with T is R.
congruence
Do the <1> and the line segment in the illustration meet tangentially?
No
tangency
Does the figure show a tangent relationship between the distinct-colored curves?
No
tangency
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