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Here are some portion of full dataset problems(40 problems)
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GIVEN:
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POINTS A,B,C,O,H,G,M_AB,M_BC,M_AC
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EQLEN O A O B
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EQLEN O B O C
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COL A B M_AB
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EQLEN A M_AB M_AB B
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COL B C M_BC
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EQLEN B M_BC M_BC C
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COL A C M_AC
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EQLEN A M_AC M_AC C
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PERP B C A H
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PERP A C B H
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COL A M_BC G
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COL B M_AC G
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GOAL:
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COL O G H
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GIVEN:
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POINTS O,A,B,C,D,M1,M2
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# A,B,C,D on the same circle centered at O
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EQLEN O A O B
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EQLEN O A O C
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EQLEN O C O D
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# M1, M2 are midpoints of AB and CD (via ⟂ from O)
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COL A B M1
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PERP A B M1 O
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EQLEN A M1 M1 B
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COL C D M2
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PERP C D M2 O
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EQLEN C M2 M2 D
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# Equal offsets from the center
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EQLEN O M1 O M2
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GOAL:
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EQLEN A B C D
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GIVEN:
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POINTS A,B,C,D,O
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# A,B,C,D concyclic with center O
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EQLEN O A O B
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EQLEN O B O C
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EQLEN O C O D
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# Goal: ∠BAD = ∠BCD
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GOAL:
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EQANG B A D B C D
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GIVEN:
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POINTS A,B,C,D
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EQLEN A B A D
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EQLEN C B C D
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GOAL:
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PERP A C B D
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GIVEN:
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POINTS O,A,B,C,D,M1,M2
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EQLEN O A O B
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EQLEN O A O C
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EQLEN O C O D
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COL A B M1
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PERP A B M1 O
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EQLEN A M1 M1 B
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COL C D M2
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PERP C D M2 O
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EQLEN C M2 M2 D
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PAR A B C D
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GOAL:
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COL O M1 M2
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GIVEN:
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POINTS A,B,C,M
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COL B C M
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EQLEN B M M C
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PERP B C A M
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GOAL:
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EQLEN A B A C
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GIVEN:
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POINTS A,B,C,O,H,H_A,M_A
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EQLEN O A O B
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EQLEN O B O C
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PERP B C A H
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PERP A C B H
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COL B C M_A
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EQLEN H M_A M_A H_A
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PERP H H_A B C
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GOAL:
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CYCLIC H_A A B C
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GIVEN:
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POINTS A,B,C,A1,B1,C1,X,Y,Z
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