Datasets:

cobordism
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AVSD_25

question stringlengths 16 3.18k	skill stringclasses 35 values	answer stringlengths 0 199
Among shapes A, B, and C, which one can be derived solely by rotating shape O in the 2D plane?	rotation	Shape C can be derived solely by rotating shape O in the 2D plane.
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.	rotation	The triangle made by 90 degrees rotation of X is C.
Which triangle, out of Triangle(IEH), Triangle(PZO), Triangle(LUX), Triangle(NGD), and Triangle(FWY), in the image is least likely to represent a rotation of Triangle(CRA) around point K?	rotation	Triangle(PZO) is least likely to represent a rotation of Triangle(CRA) around point K.
In the picture, there are heart shapes. Among hearts J, U, and B, which one is created by rotating F by 45 degrees?	rotation	The heart created by rotating F by 45 degrees is U.
Among the four triangles in the picture, which triangle from A, B, and C corresponds to a 90-degree rotation of X?	rotation	The triangle corresponding to a 90-degree rotation of X is A.
Among the heart shapes in the image, which one among P, J, and Y results from a 45-degree rotation of A?	rotation	The heart resulting from a 45-degree rotation of A is Y.
From the shapes Z, B, and J in the image, which one cannot be achieved by only rotating shape I on the 2D plane?	rotation	Shape Z cannot be achieved by only rotating shape I on the 2D plane.
There are four triangles visible. From triangles A, B, and C, select the one that results from a 90-degree rotation of X.	rotation	The triangle resulting from a 90-degree rotation of X is B.
From the shapes L, E, and G shown in the image, which one results solely from rotating shape J on the 2D plane?	rotation	Shape L results solely from rotating shape J on the 2D plane.
In the image, which heart shape among A, B, and C can be made by rotating X by 45 degrees?	rotation	The heart that can be made by rotating X by 45 degrees is A.
Out of the shapes T, F, and P, which one is formed purely by rotating shape D on the 2D plane?	rotation	Shape F is formed purely by rotating shape D on the 2D plane.
Among the heart shapes in the image, which one among A, B, and C results from a 45-degree rotation of X?	rotation	The heart resulting from a 45-degree rotation of X is C.
From the image, identify the triangle among Triangle(EHZ), Triangle(OSK), Triangle(VNL), Triangle(TYC), and Triangle(MQB) that is least likely to be a rotated version of Triangle(IDJ) around point F.	rotation	Triangle(EHZ) is least likely to be a rotated version of Triangle(IDJ) around point F.
In the image, which heart shape among A, B, and C can be made by rotating X by 45 degrees?	rotation	The heart that can be made by rotating X by 45 degrees is C.
In the picture, there are heart shapes. Among hearts K, C, and R, which one is created by rotating P by 45 degrees?	rotation	The heart created by rotating P by 45 degrees is R.
In the picture, out of hearts A, B, and C, which one can be formed by a 45-degree rotation of X?	rotation	The heart formed by a 45-degree rotation of X is B.
In the picture, out of hearts A, T, and K, which one can be formed by a 45-degree rotation of L?	rotation	The heart formed by a 45-degree rotation of L is T.
Among the shapes N, F, and E, which one is not possible to make solely by rotating shape J on the 2D plane?	rotation	Shape F is not possible to make solely by rotating shape J on the 2D plane.
Among the heart shapes shown, which one from L, F, and S corresponds to a 45-degree rotation of O?	rotation	The heart corresponding to a 45-degree rotation of O is F.
In the image, which heart shape among A, Q, and J can be made by rotating N by 45 degrees?	rotation	The heart that can be made by rotating N by 45 degrees is A.
Among shapes M, S, and W in the image, which one cannot be obtained solely by rotating shape N on the 2D plane?	rotation	Shape M cannot be obtained solely by rotating shape N on the 2D plane.
Among the four triangles in the image, which one among P, O, and B can be obtained by rotating triangle D by 90 degrees?	rotation	The triangle obtained by rotating D by 90 degrees is B.
Out of Triangle(GLZ), Triangle(UKM), Triangle(OBP), Triangle(WNC), and Triangle(VRJ), which triangle in the image is least likely to have been rotated from Triangle(TAX) about point E?	rotation	Triangle(UKM) is least likely to have been rotated from Triangle(TAX) about point E.
In the picture, there are heart shapes. Among hearts A, B, and C, which one is created by rotating X by 45 degrees?	rotation	The heart created by rotating X by 45 degrees is A.
Out of the shapes A, B, and C, which one cannot result solely from rotating shape O on the 2D plane?	rotation	Shape C cannot result solely from rotating shape O on the 2D plane.
Among the heart shapes in the image, which one among F, A, and H results from a 45-degree rotation of E?	rotation	The heart resulting from a 45-degree rotation of E is F.
Among the shapes P, B, and H, which one is not possible to make solely by rotating shape G on the 2D plane?	rotation	Shape B is not possible to make solely by rotating shape G on the 2D plane.
Among the triangles Triangle(APM), Triangle(SXH), Triangle(JTL), Triangle(ODK), and Triangle(UNG) in the image, which one is the least probable rotation of Triangle(FIW) around Z?	rotation	Triangle(ODK) is the least probable rotation of Triangle(FIW) around Z.
In the image, which triangle among Triangle(OSA), Triangle(UTB), Triangle(MYL), Triangle(QNJ), Triangle(PWR) is least likely to be a rotation of Triangle(GFZ) about the point H?	rotation	Triangle(OSA) is least likely to be a rotation of Triangle(GFZ) with respect to the point H.
There are four triangles visible. From triangles A, B, and C, select the one that results from a 90-degree rotation of X.	rotation	The triangle resulting from a 90-degree rotation of X is B.
Among the four triangles in the image, which one among T, C, and P can be obtained by rotating triangle X by 90 degrees?	rotation	The triangle obtained by rotating X by 90 degrees is C.
Which triangle, out of Triangle(OZL), Triangle(KYR), Triangle(AXN), Triangle(PWH), and Triangle(CUG), in the image is least likely to represent a rotation of Triangle(TIS) around point Q?	rotation	Triangle(AXN) is least likely to represent a rotation of Triangle(TIS) around point Q.
Which shape among A, B, and C in the image cannot be created solely by rotating shape O on the 2D plane?	rotation	Shape B cannot be created solely by rotating shape O on the 2D plane.
Among the shapes R, I, and B, which one is not possible to make solely by rotating shape V on the 2D plane?	rotation	Shape B is not possible to make solely by rotating shape V on the 2D plane.
Among the triangles Triangle(DHL), Triangle(NQP), Triangle(KBF), Triangle(WSJ), and Triangle(AIV) in the image, which one is the least probable rotation of Triangle(ECM) around T?	rotation	Triangle(DHL) is the least probable rotation of Triangle(ECM) around T.
Among shapes A, B, and C in the image, which one cannot be made solely by rotating shape O on the 2D plane?	rotation	Shape A cannot be made solely by rotating shape O on the 2D plane.
In the image, which triangle among Triangle(JVS), Triangle(NIB), Triangle(UKE), Triangle(GZP), Triangle(MAY) is least likely to be a rotation of Triangle(HDF) about the point C?	rotation	Triangle(NIB) is least likely to be a rotation of Triangle(HDF) with respect to the point C.
There are four triangles visible. From triangles T, K, and H, select the one that results from a 90-degree rotation of D.	rotation	The triangle resulting from a 90-degree rotation of D is T.
In the given image, which triangle among Triangle(YAL), Triangle(EQR), Triangle(WNX), Triangle(SBH), and Triangle(VFM) is least likely to correspond to a rotation of Triangle(PDJ) about point O?	rotation	Triangle(VFM) is least likely to correspond to a rotation of Triangle(PDJ) about point O.
In the picture, out of hearts H, Q, and M, which one can be formed by a 45-degree rotation of A?	rotation	The heart formed by a 45-degree rotation of A is M.
In the image, out of triangles M, B, and O, which one is formed by rotating Q by 90 degrees?	rotation	The triangle formed by rotating Q by 90 degrees is M.
Among the four triangles in the image, which one among M, D, and S can be obtained by rotating triangle C by 90 degrees?	rotation	The triangle obtained by rotating C by 90 degrees is S.
Among the triangles Triangle(GJT), Triangle(KMD), Triangle(ZBX), Triangle(SVY), and Triangle(ACO) in the image, which one is the least probable rotation of Triangle(WUL) around N?	rotation	Triangle(GJT) is the least probable rotation of Triangle(WUL) around N.
Among shapes A, B, and C, which one can be derived solely by rotating shape O in the 2D plane?	rotation	Shape B can be derived solely by rotating shape O in the 2D plane.
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.	rotation	The triangle made by 90 degrees rotation of X is B.
There are four triangles in the picture. Among triangle Z, Y, and J, choose the triangle that can be made by 90 degrees rotation of N.	rotation	The triangle made by 90 degrees rotation of N is Y.
In the image, which triangle among Triangle(IMN), Triangle(OHW), Triangle(KDB), Triangle(VUE), Triangle(TZF) is least likely to be a rotation of Triangle(AYR) about the point S?	rotation	Triangle(VUE) is least likely to be a rotation of Triangle(AYR) with respect to the point S.
Among shapes A, B, and C, which one can be derived solely by rotating shape O in the 2D plane?	rotation	Shape A can be derived solely by rotating shape O in the 2D plane.
Which shape among A, B, and C in the image cannot be created solely by rotating shape O on the 2D plane?	rotation	Shape A cannot be created solely by rotating shape O on the 2D plane.
Among the four triangles in the image, which one among W, X, and B can be obtained by rotating triangle U by 90 degrees?	rotation	The triangle obtained by rotating U by 90 degrees is X.
Of the shapes A, B, and C in the image, which is obtained only by rotating shape O on the 2D plane?	rotation	Shape A is obtained only by rotating shape O on the 2D plane.
Which triangle from Triangle(GJZ), Triangle(HIL), Triangle(KXE), Triangle(CPV), and Triangle(UYW) in the image appears least likely to be a rotation of Triangle(FBO) around the point M?	rotation	Triangle(UYW) appears least likely to be a rotation of Triangle(FBO) around the point M.
Among the four triangles in the image, which one among A, B, and C can be obtained by rotating triangle X by 90 degrees?	rotation	The triangle obtained by rotating X by 90 degrees is A.
From the shapes A, B, and C shown in the image, which one results solely from rotating shape O on the 2D plane?	rotation	Shape C results solely from rotating shape O on the 2D plane.
There are heart shapes in the picture. Among heart C, K, and D, choose the shape that can be made by 45 degrees rotation of P.	rotation	The one that can be made by 45 degrees rotation of P is D.
Out of Triangle(BTD), Triangle(QMJ), Triangle(IEF), Triangle(VHZ), and Triangle(GUS), which triangle in the image is least likely to have been rotated from Triangle(PNO) about point Y?	rotation	Triangle(BTD) is least likely to have been rotated from Triangle(PNO) about point Y.
Among the heart shapes shown, which one from A, B, and C corresponds to a 45-degree rotation of X?	rotation	The heart corresponding to a 45-degree rotation of X is C.
Out of the shapes N, A, and T, which one cannot result solely from rotating shape W on the 2D plane?	rotation	Shape A cannot result solely from rotating shape W on the 2D plane.
Among the triangles Triangle(WKE), Triangle(OSY), Triangle(NDG), Triangle(XAB), and Triangle(QVT) in the image, which one is the least probable rotation of Triangle(JZH) around I?	rotation	Triangle(OSY) is the least probable rotation of Triangle(JZH) around I.
Out of Triangle(ROW), Triangle(LGE), Triangle(JYH), Triangle(QMX), and Triangle(NBU), which triangle in the image is least likely to have been rotated from Triangle(VPC) about point S?	rotation	Triangle(JYH) is least likely to have been rotated from Triangle(VPC) about point S.
Which shape among G, J, and P in the image can be generated solely by rotating shape N on the 2D plane?	rotation	Shape P can be generated solely by rotating shape N on the 2D plane.
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.	rotation	The triangle made by 90 degrees rotation of X is A.
In the image, which triangle among Triangle(RXB), Triangle(IQG), Triangle(NUC), Triangle(YDK), Triangle(FTS) is least likely to be a rotation of Triangle(HPW) about the point V?	rotation	Triangle(NUC) is least likely to be a rotation of Triangle(HPW) with respect to the point V.
Among the four triangles in the image, which one among A, B, and C can be obtained by rotating triangle X by 90 degrees?	rotation	The triangle obtained by rotating X by 90 degrees is C.
Which triangle from Triangle(TPX), Triangle(JSL), Triangle(IOR), Triangle(WMC), and Triangle(BUF) in the image appears least likely to be a rotation of Triangle(KVN) around the point G?	rotation	Triangle(WMC) appears least likely to be a rotation of Triangle(KVN) around the point G.
Among the four triangles in the picture, which triangle from M, A, and R corresponds to a 90-degree rotation of B?	rotation	The triangle corresponding to a 90-degree rotation of B is A.
In the picture, there are four triangles. Among triangles A, P, and S, which one can be created by rotating V by 90 degrees?	rotation	The triangle created by rotating V by 90 degrees is A.
Among shapes B, J, and H in the image, which one cannot be obtained solely by rotating shape M on the 2D plane?	rotation	Shape B cannot be obtained solely by rotating shape M on the 2D plane.
In the picture, there are heart shapes. Among hearts X, H, and K, which one is created by rotating B by 45 degrees?	rotation	The heart created by rotating B by 45 degrees is K.
Among the heart shapes shown, which one from X, E, and S corresponds to a 45-degree rotation of R?	rotation	The heart corresponding to a 45-degree rotation of R is E.
Among shapes A, B, and C in the image, which one cannot be obtained solely by rotating shape O on the 2D plane?	rotation	Shape B cannot be obtained solely by rotating shape O on the 2D plane.
There are four triangles visible. From triangles V, Z, and K, select the one that results from a 90-degree rotation of C.	rotation	The triangle resulting from a 90-degree rotation of C is Z.
From the triangles Triangle(DYC), Triangle(JZQ), Triangle(NAM), Triangle(BOW), and Triangle(TRV) in the image, which is least likely to be a rotated version of Triangle(PHE) about point F?	rotation	Triangle(NAM) is least likely to be a rotated version of Triangle(PHE) about point F.
From the shapes A, B, and C shown in the image, which one results solely from rotating shape O on the 2D plane?	rotation	Shape C results solely from rotating shape O on the 2D plane.
Among the heart shapes shown, which one from U, V, and X corresponds to a 45-degree rotation of J?	rotation	The heart corresponding to a 45-degree rotation of J is V.
A circle in the image demonstrates rotational symmetry around a point. Identify the center of this symmetry by its label (G, Q, U, or Z). For instance, if X is the center, respond with "X".	rotational_symmetry	Point Z is the rotational symmetry center.
In the image, triangles Triangle(TWS) and Triangle(LFQ) share a point-symmetric relationship. Which point among I, P, A, E, and H is most likely to be the point of symmetry?	rotational_symmetry	Point I is most likely to be the point of symmetry.
Out of the shapes labeled as W and C, which one is most likely to possess 6-fold rotational symmetry? Answer with a single number.	rotational_symmetry	Shape W is the one most likely to display 6-fold symmetry.
You can observe a pentagon in the image, which is symmetric around some point. Indicate the point's label (C, D, S, or I). If the center is labeled as X, answer "X".	rotational_symmetry	The center of the rotational symmetry is labeled D.
From the points R, X, P, B, and N, which one is most likely the center of 2-fold rotational symmetry connecting triangles Triangle(DUZ) and Triangle(AJV) in the image?	rotational_symmetry	Point P is most likely the center of the rotational symmetry.
Identify the point among W, N, U, D, and O that is most likely the center of symmetry for triangles Triangle(PTI) and Triangle(ZBM), which are in a point-symmetric relationship.	rotational_symmetry	Point W is most likely the center of symmetry.
A triangle in the image demonstrates rotational symmetry around a point. Identify the center of this symmetry by its label (E, N, L, or Z). For instance, if X is the center, respond with "X".	rotational_symmetry	Point N is the rotational symmetry center.
You can observe a pentagon in the image, which is symmetric around some point. Indicate the point's label (I, R, F, or W). If the center is labeled as X, answer "X".	rotational_symmetry	The center of the rotational symmetry is labeled F.
From the points Z, I, P, V, and B, which one is most likely the center of 2-fold rotational symmetry connecting triangles Triangle(NEY) and Triangle(OGC) in the image?	rotational_symmetry	Point Z is most likely the center of the rotational symmetry.
Which of the points Z, Q, P, W, and D is most likely the symmetry center for the point-symmetric (2-fold rotational) relationship between triangles Triangle(MFS) and Triangle(KGN)?	rotational_symmetry	Point D is most likely the symmetry center.
A triangle in the image demonstrates rotational symmetry around a point. Identify the center of this symmetry by its label (T, H, L, or B). For instance, if X is the center, respond with "X".	rotational_symmetry	Point T is the rotational symmetry center.
In the image, triangles Triangle(JIS) and Triangle(BON) share a point-symmetric relationship. Which point among M, C, T, V, and P is most likely to be the point of symmetry?	rotational_symmetry	Point C is most likely to be the point of symmetry.
From the points J, P, H, K, and V, which one is most likely the center of 2-fold rotational symmetry connecting triangles Triangle(YRD) and Triangle(IFQ) in the image?	rotational_symmetry	Point V is most likely the center of the rotational symmetry.
In the image, triangles Triangle(KTL) and Triangle(HYV) share a point-symmetric relationship. Which point among F, G, I, S, and Z is most likely to be the point of symmetry?	rotational_symmetry	Point I is most likely to be the point of symmetry.
Out of the shapes labeled as O and V, which one is most likely to possess 6-fold rotational symmetry? Answer with a single number.	rotational_symmetry	Shape V is the one most likely to display 6-fold symmetry.
Out of the shapes labeled as K and V, which one is most likely to possess 6-fold rotational symmetry? Answer with a single number.	rotational_symmetry	Shape V is the one most likely to display 6-fold symmetry.
A hexagon in the image demonstrates rotational symmetry around a point. Identify the center of this symmetry by its label (H, V, I, or X). For instance, if X is the center, respond with "X".	rotational_symmetry	Point V is the rotational symmetry center.
Between shapes E and M, which one most likely possesses 3-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.	rotational_symmetry	The shape labeled E most likely exhibits 3-fold rotational symmetry.
Which point, out of M, B, S, J, and X, is most likely the center of 2-fold rotational symmetry between triangles Triangle(FAK) and Triangle(NVL) in the image?	rotational_symmetry	Point S is most likely the center of 2-fold rotational symmetry.
In the image, triangles Triangle(BCD) and Triangle(PGE) exhibit a point-symmetric relationship (2-fold rotational symmetry in 2D). Which point among R, J, A, W, and Z is most likely the symmetry center?	rotational_symmetry	Point R is most likely the symmetry center.
Within the image, a square exhibits symmetry around a specific point. Specify the label (A, N, M, or U) for the center of this symmetry. For instance, if the point is X, your response should be "X".	rotational_symmetry	Point M acts as the rotational center of symmetry.
You can observe a hexagon in the image, which is symmetric around some point. Indicate the point's label (E, Q, W, or Z). If the center is labeled as X, answer "X".	rotational_symmetry	The center of the rotational symmetry is labeled Q.
Out of the shapes labeled as R and I, which one is most likely to possess 5-fold rotational symmetry? Answer with a single number.	rotational_symmetry	Shape R is the one most likely to display 5-fold symmetry.
A circle in the image demonstrates rotational symmetry around a point. Identify the center of this symmetry by its label (U, W, M, or A). For instance, if X is the center, respond with "X".	rotational_symmetry	Point M is the rotational symmetry center.
Two triangles Triangle(ZWT) and Triangle(GBF) in the image are in a point-symmetric relation (that is, 2-fold rotational symmetry in 2D). Among points I, N, X, E, and O, which point is most likely to be the center of symmetry?	rotational_symmetry	Point O is most likely to be the center of symmetry.