Datasets:
sabakublashvili
/
idef-geobench

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PAR A B C D
GIVEN:
POINTS A,B,C,A1,B1,C1,O,U,V,W
COL A,A1,O
COL B,B1,O
COL C,C1,O
COL A,B,U
COL A1,B1,U
COL A,C,V
COL A1,C1,V
COL B,C,W
COL B1,C1,W
GOAL:
COL U,V,W
GIVEN:
POINTS A,B,C,D
EQANG B A C B D C
GOAL:
CYCLIC A B C D
GIVEN:
POINTS O,A,B,M
# A and B on circle centered at O
EQLEN O A O B
# OM ⟂ AB with M on AB
COL A B M
PERP A B M O
GOAL:
EQLEN A M M B
GIVEN:
POINTS A,B,C,O,M_AB,M_BC
# Perpendicular bisector of AB passes through O
COL A B M_AB
EQLEN A M_AB M_AB B
PERP A B M_AB O
# Perpendicular bisector of BC passes through O
COL B C M_BC
EQLEN B M_BC M_BC C
PERP B C M_BC O
GOAL:
EQLEN O A O B
EQLEN O B O C
GIVEN:
POINTS A,B,C,M_AB,M_AC
# Midpoints on AB and AC
COL A B M_AB
EQLEN A M_AB M_AB B
COL A C M_AC
EQLEN A M_AC M_AC C
GOAL:
PAR M_AB M_AC B C