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Geometry Reference Sheet – Math Lab Geometry Postulates, Theorems, Definitions Reflexive Property of Congruence: Symmetric Property of Congruence: Transitive Property of Congruence: Reflexive Property of Equality Symmetric Property of equality Transitive Property of equality Substitution property of equality AB ~ AB AB ~ BA, or if < 1 ~ < 2, then < 2 ~ < 1 if < 1 ~ < 2, < 2 ~ < 3, then < 1 ~ < 3 <A = <A, 25=25,AB=AB A=B, then B=A A=B, B=C then A=C if a = b, then b can be subbed in for a. Conditional Statement Converse Statement Inverse Statement Contra positive Statement Bi conditional Statement Segment Addition Postulate Segment bisector Midpoint If P then Q If Q then P If –P then -Q If -Q then -P P if and only if Q AB + BC = AC See midpoint. If point B is the midpoint of AC, then AB = BC… it cuts it in half. If <S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR JK bisects <LJM, then <LJK = <KJM m<a + m<b = 90 m<1 + m<2 = 180 Adjacent angles that add up to 180 Angle Addition Postulate Angle bisector Complementary angles Supplementary angles Linear Pair