image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/2064/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, K)), 16); Equals(LengthOf(Line(A, K)), 9); Perpendicular(Line(D, F), Line(F, K)); Perpendicular(Line(F, K), Lin... |
geometry3k/train/2066/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(E, Line(D, B)); PointLiesOnLine(E, Line(C, A)); "
}
] |
geometry3k/train/2069/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(L, K, J)), 340); Equals(LengthOf(Major(Arc(L, J))), 56.37); PointLiesOnCircle(J, Circle(K, radius_)); PointLiesO... |
geometry3k/train/2070/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, R)), 14); Perpendicular(Line(R, X), Line(X, S)); Equals(LengthOf(Line(S, R)), LengthOf(Line(S, T))); PointLiesO... |
geometry3k/train/2071/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, Q)), 8); Equals(MeasureOf(Angle(S, R, Q)), 110); Equals(LengthOf(Line(S, T)), 8); Parallel(Line(Q, T), Line(R, ... |
geometry3k/train/2074/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(D, Line(B, A)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(C... |
geometry3k/train/2075/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, Q)), 8); Equals(LengthOf(Line(S, T)), y-4); Equals(LengthOf(Line(R, Q)), 11); "
}
] |
geometry3k/train/2077/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), 15); Equals(LengthOf(Line(B, C)), 10); Equals(LengthOf(Line(D, C)), 4); Equals(LengthOf(Line(A, D)), x); E... |
geometry3k/train/2080/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 3x+2); Equals(LengthOf(Line(F, A)), 4x-6); Equals(LengthOf(Line(E, D)), LengthOf(Line(E, C))); PointLiesOn... |
geometry3k/train/2084/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, B)), 10); Equals(LengthOf(Line(A, E)), 3); Equals(LengthOf(Line(X, E)), x); Equals(LengthOf(Line(A, D)), 5); Po... |
geometry3k/train/2085/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(U, R)), 16); Equals(LengthOf(Line(V, R)), 11.2); Equals(LengthOf(Line(V, S)), 7); Equals(LengthOf(Line(U, S)), x);... |
geometry3k/train/2095/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, F, D)), 50); Perpendicular(Line(F, C), Line(F, B)); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(F, Line(E... |
geometry3k/train/2099/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 17); Equals(LengthOf(Line(A, C)), 7); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, B), Line(A, C... |
geometry3k/val/2101/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, C, E)), 5x-12); Equals(MeasureOf(Angle(D, E, C)), 3x); PointLiesOnLine(B, Line(E, C)); PointLiesOnCircle(E, C... |
geometry3k/val/2105/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, F)), 9); Equals(LengthOf(Line(G, F)), x); Equals(MeasureOf(Angle(F, E, G)), 48); Equals(LengthOf(Line(G, E)), 1... |
geometry3k/val/2107/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(Q, Line(R, P)); PointLiesOnLine(X, Line(W, Y)); "
}
] |
geometry3k/val/2108/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, F)), 20-5x); Equals(LengthOf(Line(J, X)), 2x+6); Equals(LengthOf(Line(Y, C)), y); Equals(LengthOf(Line(Y, D)), ... |
geometry3k/val/2109/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, F)), y); Equals(LengthOf(Line(D, F)), 2); Equals(LengthOf(Line(b, E)), 5); Perpendicular(Line(F, A), Line(B, F)... |
geometry3k/val/2112/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(I, A), Line(B, I)); Equals(Square(B, H, G, I), Square(1)); Equals(Square(I, A, D, C), Square(2)); Equals(Square(3), ... |
geometry3k/val/2114/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, O, A)), 120); Equals(LengthOf(Line(B, O)), 8); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(B,... |
geometry3k/val/2115/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, E)), 4y-7); Equals(LengthOf(Line(B, D)), 5x-8); Equals(LengthOf(Line(A, D)), 3x+11); Equals(LengthOf(Line(B, E)... |
geometry3k/val/2117/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(P, A)), 11); Equals(LengthOf(Line(A, Q)), 9); PointLiesOnLine(H, Line(B, A)); PointLiesOnLine(H, Line(C, F)); Poin... |
geometry3k/val/2118/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, B, A)), 28); Equals(LengthOf(Line(A, D)), 12); Equals(MeasureOf(Angle(B, D, A)), 40); Equals(LengthOf(Line(B,... |
geometry3k/val/2119/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, E)), 7.1); Equals(LengthOf(Line(C, E)), 2x); Equals(LengthOf(Line(B, D)), 9.8); PointLiesOnLine(E, Line(B, C));... |
geometry3k/val/2121/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(H, G)), 30); Equals(MeasureOf(Angle(A, E, C)), x); Equals(MeasureOf(Arc(C, A)), 90); PointLiesOnLine(H, Line(A, E)... |
geometry3k/val/2123/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Q, P, R)), 3x+1); Equals(MeasureOf(Angle(Q, R, P)), 7x-1); PointLiesOnLine(A, Line(R, P)); PointLiesOnCircle(R, ... |
geometry3k/val/2125/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 2.5); Equals(LengthOf(Line(B, G)), 1); Equals(LengthOf(Line(G, F)), 1.5); Equals(LengthOf(Line(C, E)), 3.5... |
geometry3k/val/2127/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 8); Equals(LengthOf(Line(C, A)), 6); Equals(LengthOf(Line(B, D)), y); Equals(LengthOf(Line(C, D)), x); Equ... |
geometry3k/val/2132/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Q, P, R)), 120); Equals(LengthOf(Line(P, R)), 15); PointLiesOnCircle(R, Circle(P, radius_)); PointLiesOnCircle(Q... |
geometry3k/val/2135/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, D)), 5); Equals(LengthOf(Line(C, D)), 9); Perpendicular(Line(A, D), Line(D, C)); Perpendicular(Line(A, C), Line... |
geometry3k/val/2136/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(A, F), Line(A, B)); Perpendicular(Line(B, E), Line(B, A)); Perpendicular(Line(C, D), Line(B, C)); Perpendicular(Line... |
geometry3k/val/2137/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 16); Equals(LengthOf(Line(B, A)), 20); Equals(LengthOf(Line(D, C)), x); Equals(LengthOf(Line(B, D)), 17); ... |
geometry3k/val/2139/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, D)), 2x+4); Equals(LengthOf(Line(H, G)), 7); Equals(LengthOf(Line(H, J)), 10); Equals(LengthOf(Line(G, D)), 2x-... |
geometry3k/val/2141/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 7); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(A, D)), 13); Perpendicular(Line(A, D), Line(B, D... |
geometry3k/val/2142/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(P, M)), 6); Perpendicular(Line(Q, P), Line(Q, K)); PointLiesOnLine(P, Line(M, Q)); PointLiesOnLine(Q, Line(M, L));... |
geometry3k/val/2143/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(X, Y), Line(Y, Z)); Equals(LengthOf(Line(X, Z)), 9); Equals(LengthOf(Line(X, W)), 9); Equals(LengthOf(Line(Z, Y)), 3... |
geometry3k/val/2146/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, D)), x); Equals(LengthOf(Line(A, B)), 40); Equals(LengthOf(Line(B, C)), 22); Equals(MeasureOf(Angle(D, A, ... |
geometry3k/val/2147/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, B, C)), 30); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(C, B)), y); Equals(MeasureOf(Angle(C, A, B... |
geometry3k/val/2148/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/val/2151/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 5); Equals(MeasureOf(Angle(A, C, D)), 59); "
}
] |
geometry3k/val/2153/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, G, J)), 20); PointLiesOnLine(A, Line(G, J)); PointLiesOnCircle(H, Circle(A, radius_)); PointLiesOnCircle(G, C... |
geometry3k/val/2154/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, E)), 12); Equals(LengthOf(Line(A, E)), 18); Equals(LengthOf(Line(D, A)), 42); Parallel(Line(C, D), Line(E, G));... |
geometry3k/val/2155/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(F, C, B)), 7x+3); Equals(MeasureOf(Angle(A, M, C)), 9x-5); PointLiesOnLine(M, Line(E, A)); PointLiesOnLine(C, Li... |
geometry3k/val/2156/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(G, K, I)), 145); Equals(MeasureOf(Angle(H, J, F)), 130); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(K, A, J)));... |
geometry3k/val/2159/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 21); Equals(MeasureOf(Angle(C, D, A)), 168); PointLiesOnLine(D, Line(A, B)); PointLiesOnCircle(A, Circle(D... |
geometry3k/val/2164/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), LengthOf(h)); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(B, A)), 21); Perpendicular(Line(... |
geometry3k/val/2166/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 7); Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(B, A)), x); Equals(MeasureOf(Angle(C, A, B)), 30... |
geometry3k/val/2171/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, N)), 10x+3); Equals(LengthOf(Line(R, S)), 9x-1); Equals(LengthOf(Line(P, O)), 4x+7); PointLiesOnLine(R, Line(P,... |
geometry3k/val/2173/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, D)), 5); Equals(LengthOf(Line(G, F)), 2); Equals(LengthOf(Line(B, G)), 2); Equals(LengthOf(Line(E, C)), 5); Equ... |
geometry3k/val/2175/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, C)), 14); Equals(LengthOf(Line(B, G)), 8); Equals(LengthOf(Line(F, B)), 10); Equals(LengthOf(Line(C, F)), x); P... |
geometry3k/val/2176/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), y+2x); Equals(LengthOf(Line(A, Y)), 3y+2x); Equals(LengthOf(Line(B, C)), 5y-2x); Equals(LengthOf(Line(Y, C... |
geometry3k/val/2177/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 7); Equals(MeasureOf(Angle(B, C, A)), 62); Equals(LengthOf(Line(C, B)), 4); Equals(LengthOf(Line(A, B)), x... |
geometry3k/val/2179/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, D)), 3y-5); Equals(LengthOf(Line(A, B)), y+11); Equals(LengthOf(Line(A, C)), x+7); Equals(LengthOf(Line(B, D)),... |
geometry3k/val/2180/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(H, K), Line(I, J)); PointLiesOnLine(H, Line(I, G)); PointLiesOnLine(K, Line(G, J)); "
}
] |
geometry3k/val/2182/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, S)), x); Equals(LengthOf(Line(S, R)), x+3); Equals(LengthOf(Line(V, T)), 9); PointLiesOnLine(A, Line(R, S)); Po... |
geometry3k/val/2185/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, Z)), 14); Equals(LengthOf(Line(Z, Y)), 10); Perpendicular(Line(Z, Y), Line(X, Y)); "
}
] |
geometry3k/val/2188/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), x); Equals(LengthOf(Line(C, A)), y); Equals(LengthOf(Line(C, B)), 17); Equals(MeasureOf(Angle(B, C, A)), 6... |
geometry3k/val/2190/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, E)), 4y-2); Equals(LengthOf(Line(F, G)), 2y); Perpendicular(Line(F, G), Line(G, B)); PointLiesOnLine(G, Line(C,... |
geometry3k/val/2191/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, B)), 43); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(B, C)), 26); Perpendicular(Line(A, C), Lin... |
geometry3k/val/2194/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(I, H)), 4); Perpendicular(Line(H, I), Line(E, B)); PointLiesOnLine(I, Line(B, E)); "
}
] |
geometry3k/val/2197/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 24); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(A, B)), 10); Perpendicular(Line(B, C), Line(A, ... |
geometry3k/val/2198/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, C)), 80); Equals(MeasureOf(Angle(A, B, D)), 140); Equals(MeasureOf(Angle(A, C, D)), x); PointLiesOnLine(B,... |
geometry3k/val/2202/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(N, O)), 18); Equals(LengthOf(Line(M, M)), 18); Perpendicular(Line(N, H), Line(N, G)); Perpendicular(Line(M, J), Li... |
geometry3k/val/2205/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, C)), 99); PointLiesOnLine(C, Line(A, G)); PointLiesOnLine(B, Line(A, I)); PointLiesOnCircle(C, Circle(H, r... |
geometry3k/val/2206/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(A, B)), 85); Equals(MeasureOf(Arc(B, C)), 85); Equals(LengthOf(Line(B, C)), 4x+3); Equals(LengthOf(Line(A, B)), 5x... |
geometry3k/val/2207/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, A, B)), 22); Equals(MeasureOf(Angle(A, B, C)), 43); Equals(MeasureOf(Angle(B, C, D)), MeasureOf(Angle(3))); P... |
geometry3k/val/2208/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, D)), 20); Equals(LengthOf(Line(B, C)), 31); PointLiesOnLine(D, Line(A, B)); PointLiesOnCircle(A, Circle(X, radi... |
geometry3k/val/2209/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 8.5); Equals(LengthOf(Line(A, C)), 8.5); Equals(LengthOf(Line(C, B)), 14.2); Perpendicular(Line(A, C), Lin... |
geometry3k/val/2210/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, T)), 10); Equals(LengthOf(Line(T, A)), 5); Equals(LengthOf(Line(A, E)), 10); Equals(LengthOf(Line(D, A)), Lengt... |
geometry3k/val/2211/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), z); Equals(LengthOf(Line(B, T)), x); Equals(LengthOf(Line(C, T)), y); Equals(LengthOf(Line(B, C)), 15); Pe... |
geometry3k/val/2212/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(DiameterOf(Cirle(B))), 12); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(I, Circle(B, radius_)); PointLi... |
geometry3k/val/2214/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(I, Line(C, B)); PointLiesOnLine(G, Line(D, A)); PointLiesOnLine(F, Line(A, B)); PointLiesOnLine(J, Line(C, D)); PointLi... |
geometry3k/val/2216/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, Q)), 4.5); Perpendicular(Line(Q, T), Line(Q, S)); Equals(LengthOf(Line(S, T)), LengthOf(Line(R, T))); PointLies... |
geometry3k/val/2217/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(5)), MeasureOf(Angle(A, C, E))); Equals(MeasureOf(Angle(B, C, D)), 80); Equals(MeasureOf(Angle(E, C, A)), 70); P... |
geometry3k/val/2218/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, A)), 60); Equals(LengthOf(Line(B, C)), 18); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(A, B)), ... |
geometry3k/val/2228/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(F, D, I)), x+12); Equals(MeasureOf(Angle(F, D, C)), y); Equals(MeasureOf(Angle(G, F, E)), 114); PointLiesOnLine(... |
geometry3k/val/2230/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(K, J)), x); Equals(LengthOf(Line(L, J)), 4); Equals(LengthOf(Line(L, P)), 6); Equals(LengthOf(Line(M, P)), 12); Eq... |
geometry3k/val/2231/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Y, X)), 9.4); Equals(MeasureOf(Angle(Y, X, W)), 228); PointLiesOnCircle(N, Circle(X, radius_)); PointLiesOnCircle(... |
geometry3k/val/2232/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), 15); Equals(LengthOf(Line(D, A)), x); Perpendicular(Line(D, A), Line(C, D)); PointLiesOnCircle(B, Circle(C... |
geometry3k/val/2234/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, D)), 70); Equals(MeasureOf(Angle(F, B, C)), 65); Equals(MeasureOf(Angle(F, B, D)), x); PointLiesOnCircle(C... |
geometry3k/val/2236/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, F)), 4); Equals(LengthOf(Line(D, B)), 9); Equals(LengthOf(Line(D, A)), 12); PointLiesOnLine(O, Line(B, F)); Poi... |
geometry3k/val/2240/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, A)), 112); Equals(MeasureOf(Angle(C, B, D)), 32); Equals(MeasureOf(Angle(C, D, B)), Angle(2)); PointLiesOn... |
geometry3k/val/2241/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 35); Equals(LengthOf(Line(B, C)), 21); Equals(LengthOf(Line(A, C)), x); Perpendicular(Line(B, C), Line(A, ... |
geometry3k/val/2245/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, J)), 8.5); Equals(LengthOf(Line(L, J)), 8.5); Equals(LengthOf(Line(F, M)), 6); Perpendicular(Line(L, F), Line(F... |
geometry3k/val/2246/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 10); Equals(LengthOf(Line(B, D)), 18); "
}
] |
geometry3k/val/2248/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(L, B, L)), 47); Equals(MeasureOf(Arc(L, J)), 111); PointLiesOnCircle(M, Circle(C, radius_)); PointLiesOnCircle(L... |
geometry3k/val/2252/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 15); Equals(LengthOf(Line(A, C)), 17); Equals(LengthOf(Line(E, H)), 7.5); Perpendicular(Line(C, D), Line(A... |
geometry3k/val/2253/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, R)), 23); Equals(LengthOf(Line(T, S)), 11); Perpendicular(Line(T, S), Line(R, S)); "
}
] |
geometry3k/val/2254/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(T, A, D)), 21+2x); Equals(MeasureOf(Angle(A, F, B)), x+84); PointLiesOnLine(F, Line(B, N)); PointLiesOnLine(A, L... |
geometry3k/val/2255/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(E, F)), 90); Equals(MeasureOf(Angle(D, B, G)), MeasureOf(Angle(3))); Equals(MeasureOf(Arc(D, G)), 74); PointLiesOn... |
geometry3k/val/2257/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, D)), 5x+13); Equals(LengthOf(Line(E, C)), 12x-8); Equals(LengthOf(Arc(E, C)), LengthOf(Arc(D, B))); PointLiesOn... |
geometry3k/val/2258/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(F, Line(C, A)); PointLiesOnCircle(E, Circle(F, radius_)); PointLiesOnCircle(C, Circle(F, radius_)); PointLiesOnCircle(A... |
geometry3k/val/2263/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), m); Equals(LengthOf(Line(D, C)), m+5); Equals(LengthOf(Line(D, B)), 6); Perpendicular(Line(B, D), Line(C, ... |
geometry3k/val/2268/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, D)), 3.4); Equals(LengthOf(Line(A, B)), 7.3); Perpendicular(Line(C, D), Line(A, D)); PointLiesOnLine(D, Line(A,... |
geometry3k/val/2269/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(D, A)), 38); Equals(MeasureOf(Arc(E, B)), 46); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(A, C, E))); PointLiesOn... |
geometry3k/val/2270/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x); Equals(MeasureOf(Angle(B, A, C)), 118); Equals(LengthOf(Line(A, C)), 12); Equals(MeasureOf(Angle(A, C,... |
geometry3k/val/2272/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, B, X)), 6y-57); Equals(MeasureOf(Angle(Y, A, B)), 5x-19); Equals(MeasureOf(Angle(B, X, Y)), 3x+9); Equals(Mea... |
geometry3k/val/2275/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, A)), 68); Equals(LengthOf(Line(B, C)), 3); Equals(MeasureOf(Angle(B, A, C)), 37); Equals(LengthOf(Line(A, ... |
geometry3k/val/2277/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, H)), 8); Equals(LengthOf(Line(U, H)), 8); PointLiesOnLine(T, Line(P, Q)); PointLiesOnLine(U, Line(R, S)); "
}... |
geometry3k/val/2280/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, B, C)), 21x-8); Equals(MeasureOf(Angle(A, D, C)), 23x+12); PointLiesOnCircle(A, Circle(G, radius_)); PointLie... |
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