image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
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(Y, X)); "
}
] |
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(A, C)), 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(B,... |
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(E, B)); "
}
] |
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(B, ... |
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(O, N)), 18); Equals(LengthOf(Line(M, M)), 18); Perpendicular(Line(N, H), Line(G, N)); Perpendicular(Line(M, G), 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(I, A)); 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(B, A)), 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(B, A)); 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(T, B)), 10); Equals(LengthOf(Line(A, T)), 5); Equals(LengthOf(Line(A, E)), 10); Equals(LengthOf(Line(A, D)), 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(A, B)), z); Equals(LengthOf(Line(T, B)), 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(D, C)); 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(Q, R)), 4.5); Perpendicular(Line(S, Q), Line(T, Q)); Equals(LengthOf(Line(S, T)), LengthOf(Line(T, R))); 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(A, C, E)), 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(B, A)), ... |
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(C, D, F)), y); Equals(MeasureOf(Angle(E, F, G)), 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(J, L)), 4); Equals(LengthOf(Line(P, L)), 6); Equals(LengthOf(Line(P, M)), 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(W, X, Y)), 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(D, C)); 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(D, B, F)), 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(F, C)), 4); Equals(LengthOf(Line(B, D)), 9); Equals(LengthOf(Line(D, A)), 12); PointLiesOnLine(O, Line(F, B)); 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(C, ... |
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(M, F)), 6); Perpendicular(Line(L, F), Line(J... |
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(D, B)), 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(A, C)), 15); Equals(LengthOf(Line(A, C)), 17); Equals(LengthOf(Line(E, H)), 7.5); Perpendicular(Line(D, C), Line(D... |
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(S, R)); "
}
] |
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(D, A, T)), 21+2x); Equals(MeasureOf(Angle(B, F, A)), 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(D, B)), LengthOf(Arc(E, C))); 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(A, C)); 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(B, D)), 6); Perpendicular(Line(C, D), Line(D, ... |
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(B,... |
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(B, 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(C, ... |
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(S, R)); "
}... |
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(C, D, A)), 23x+12); PointLiesOnCircle(A, Circle(G, radius_)); PointLie... |
geometry3k/val/2283/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(E, G, K)), 2x); Equals(MeasureOf(Angle(G, F, J)), 48); Equals(MeasureOf(Angle(H, E, M)), 82); Equals(MeasureOf(A... |
geometry3k/val/2285/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(V, X), Line(Z, Y)); PointLiesOnLine(X, Line(W, Y)); PointLiesOnLine(V, Line(Z, W)); "
}
] |
geometry3k/val/2298/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, B)), 4); "
}
] |
geometry3k/val/2299/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(4)), MeasureOf(Angle(A, C, I))); Equals(MeasureOf(Angle(H, C, A)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(... |
geometry3k/val/2300/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(O, K)), 8); Perpendicular(Line(B, O), Line(A, B)); Equals(LengthOf(Line(R, B)), LengthOf(Line(B, R))); Equals(Leng... |
geometry3k/val/2305/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)), 2x); Equals(MeasureOf(Angle(C, A, B)), 3x); Equals(MeasureOf(Angle(A, C, B)), 4x); "
}
] |
geometry3k/val/2307/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)), 3.0); Equals(MeasureOf(Angle(C, A, B)), 123); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(C, A))... |
geometry3k/val/2308/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(LengthOf(Line(A, C)), 9\\sqrt{2}); Equals(LengthOf(Line(B, C)), 9\\sqrt{2}); Perpendicular(Line... |
geometry3k/val/2310/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)), 53); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C)), 32); Perpendicular(Line(A, C), Lin... |
geometry3k/val/2311/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(2)), MeasureOf(Angle(E, A, D))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(E, A, B))); Equals(MeasureOf(Angle(... |
geometry3k/val/2313/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(A, D)), 7); Equals(LengthOf(Line(A, B)), LengthOf(Line(C, B))); PointLiesOnLine(BD Line(C, A)); "
}
] |
geometry3k/val/2314/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)), x); "
}
] |
geometry3k/val/2315/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(L, M)), 2y+6); Equals(MeasureOf(Angle(L, M, P)), 60); Equals(LengthOf(Line(M, P)), 4); Equals(LengthOf(Line(L, P))... |
geometry3k/val/2316/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(R, T, S)), 2x); Equals(MeasureOf(Angle(S, R, T)), x); PointLiesOnLine(B, Line(T, R)); PointLiesOnCircle(R, Circl... |
geometry3k/val/2322/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(S, Q)), 7); Equals(LengthOf(Line(S, R)), 7); Perpendicular(Line(Q, S), Line(Q, M)); PointLiesOnLine(R, Line(N, P))... |
geometry3k/val/2323/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(C, Line(D, A)); PointLiesOnLine(B, Line(D, A)); PointLiesOnLine(C, Line(D, B)); PointLiesOnLine(B, Line(C, A)); "
}
] |
geometry3k/val/2325/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, G, C)), x); Equals(MeasureOf(Angle(D, G, C)), 36); PointLiesOnLine(G, Line(A, D)); PointLiesOnLine(G, Line(C,... |
geometry3k/val/2327/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(I, H, A)), 110); Equals(MeasureOf(Angle(C, G, B)), 4x+10); PointLiesOnLine(G, Line(B, A)); PointLiesOnLine(H, Li... |
geometry3k/val/2332/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, D)), 28); Equals(MeasureOf(Angle(D, B, E)), x); Equals(MeasureOf(Angle(A, B, D)), 28 ); Equals(MeasureOf(A... |
geometry3k/val/2333/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(P, Line(D, E)); PointLiesOnLine(Q, Line(F, D)); "
}
] |
geometry3k/val/2334/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(C, B, A)), 60); Equals(LengthOf(Line(A, B)), LengthOf(Line(B, C))); "
}
] |
geometry3k/val/2335/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, B)), 55); "
}
] |
geometry3k/val/2336/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, C)), 4); Equals(LengthOf(Line(D, A)), 6); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(B, A)), x+3); E... |
geometry3k/val/2338/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(W, X)), 5); Equals(LengthOf(Line(S, T)), 6); "
}
] |
geometry3k/val/2341/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, W)), 8); Equals(LengthOf(Line(Y, W)), 8); Equals(MeasureOf(Angle(X, Y, W)), 4x-2); "
}
] |
geometry3k/val/2343/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)), 4.5); Equals(LengthOf(Line(B, D)), 8); Equals(LengthOf(Line(E, C)), 8); Equals(LengthOf(Line(E, B)), 10); ... |
geometry3k/val/2344/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(10)), MeasureOf(Angle(G, C, F))); Equals(MeasureOf(Angle(B, C, G)), MeasureOf(Angle(9))); Equals(MeasureOf(Angle... |
geometry3k/val/2349/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, A, C)), 70); Equals(LengthOf(Line(E, A)), x); Equals(MeasureOf(Angle(D, E, A)), 15); Equals(LengthOf(Line(E, ... |
geometry3k/val/2350/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(G, A)), 2b+5); Equals(LengthOf(Line(H, A)), 2w+3); Equals(LengthOf(Line(F, A)), 4w-7); Equals(LengthOf(Line(J, A))... |
geometry3k/val/2355/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(E, A, C)), x+15); Equals(MeasureOf(Angle(B, C, F)), 106); Equals(MeasureOf(Angle(A, D, G)), x-10); Equals(Measur... |
geometry3k/val/2359/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)), 2x+3); Equals(LengthOf(Line(R, T)), 4x-7); Perpendicular(Line(R, S), Line(T, S)); Equals(LengthOf(Line(Q, ... |
geometry3k/val/2360/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(D, C)), 2x+3); Equals(LengthOf(Line(A, B)), 3x-9); Perpendicular(Line(G, A), Line(E, G)); Perpendicular(Line(D, F)... |
geometry3k/val/2361/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(E, B), Line(E, A)); Perpendicular(Line(E, C), Line(B, E)); PointLiesOnLine(E, Line(B, A)); PointLiesOnLine(E, Line(D... |
geometry3k/val/2362/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)), x+10); Equals(LengthOf(Line(B, E)), x); Perpendicular(Line(E, B), Line(E, D)); PointLiesOnLine(E, Line(D, ... |
geometry3k/val/2363/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)), x); Equals(LengthOf(Line(A, F)), 2.7); Equals(LengthOf(Line(D, C)), 11.6); Equals(LengthOf(Line(B, E)), 13... |
geometry3k/val/2364/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)), 9); "
}
] |
geometry3k/val/2365/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(A, D)), 6); Equals(MeasureOf(Angle(A, C, B)), 58); Equals(MeasureOf(Angle(A, C, D)), 32); "
}
] |
geometry3k/val/2371/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, J, B)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(D, J, C)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/val/2372/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)), 10); Equals(LengthOf(Line(A, D)), 22); Equals(LengthOf(Line(B, X)), 8); Equals(LengthOf(Line(C, X)), x); P... |
geometry3k/val/2375/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(A, D)), 11); Equals(MeasureOf(Angle(D, E, A)), 32); Equals(MeasureOf(Angle(A, E, F)), 32); Perpendicular(Line(D, E... |
geometry3k/val/2376/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(N, H, M)), 40); Perpendicular(Line(M, F), Line(F, E)); Perpendicular(Line(B, H), Line(B, M)); Equals(LengthOf(Li... |
geometry3k/val/2380/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, I, A)), 3y+40); Equals(MeasureOf(Angle(A, D, C)), 120); Equals(MeasureOf(Angle(I, C, D)), x); Equals(MeasureO... |
geometry3k/val/2387/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(B, C)), 86); Equals(MeasureOf(Arc(A, D)), 134); PointLiesOnLine(H, Line(B, D)); PointLiesOnLine(H, Line(C, A)); Po... |
geometry3k/val/2393/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(R, S, Q)), 2y-12); Equals(LengthOf(Line(L, N)), 3x+5); Equals(LengthOf(Line(Q, S)), 2x+10); Equals(MeasureOf(Ang... |
geometry3k/val/2399/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); Equals(LengthOf(Line(C, A)), 8\\sqrt{3}); Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(... |
geometry3k/train/0/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)), x+21); Equals(MeasureOf(Angle(T, R, S)), 4y-10); Equals(MeasureOf(Angle(Y, X, Z)), 3y+5); Equals(LengthOf(... |
geometry3k/train/2/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)), 86); Equals(LengthOf(Line(R, S)), 54); Equals(LengthOf(Line(A, R)), LengthOf(Line(Q, A))); Equals(LengthOf... |
geometry3k/train/3/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(W, Z)), 23); Equals(MeasureOf(Angle(Z, W, X)), 112); Equals(LengthOf(Line(X, Y)), 23); Parallel(Line(X, W), Line(Z... |
geometry3k/train/4/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)), 10); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(D, B)), 4); Equals(LengthOf(Line(B, A)), y); Eq... |
geometry3k/train/6/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, T)), 7\\sqrt{2}); Equals(LengthOf(Line(T, S)), 3\\sqrt{2}); Perpendicular(Line(S, T), Line(R, S)); "
}
] |
geometry3k/train/7/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)), \\frac{4}{7}); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(B, C)), \\frac{5}{7}); Perpendicular(... |
geometry3k/train/8/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(J, K)), 10); Perpendicular(Line(P, M), Line(P, K)); PointLiesOnLine(P, Line(M, N)); PointLiesOnLine(K, Line(J, P))... |
geometry3k/train/9/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(B, D)), 10x); Equals(MeasureOf(Arc(F, D)), 40); Equals(MeasureOf(Angle(D, C, F)), x); PointLiesOnLine(F, Line(B, C... |
geometry3k/train/11/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(M, Y), Line(A, M)); Perpendicular(Line(D, N), Line(N, Z)); PointLiesOnLine(N, Line(X, Z)); PointLiesOnLine(M, Line(Y... |
geometry3k/train/12/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)), 5); Equals(LengthOf(Line(E, C)), 4.5); Equals(LengthOf(Line(C, A)), 7.5); Equals(LengthOf(Line(B, D)), x);... |
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