Definition of Complementary Angles - Angles that sum to 90 degrees, Definintion of Supplementary Angles - Angles that sum to 180 degrees, Definition of Congruent Angles - If m∠1 = m∠2, then ∠1 ≌ ∠2, Definition of a Right Angle - An angle that measures 90 degrees, Definition of Perpendicular Lines - ⊥ (1) Two lines whose intersection forms 4 90° angles; (2) lines whose slopes are opposite reciprocals, Segment Addition Postulate, Angle Addition Postulate, Definition of a Linear Pair - Two adjacent angles who share the same line and together form a straight angle , Vertical Angle Theorem - Opposing angles of two intersecting lines must be congruent, Addition Property of Equality - If a = b then, a + c = b + c, Subtraction Property of Equality - If a = b then, a - c = b - c, Multiplication Property of Equality - If a = b then, ac = bc, Division Property of Equality - If a = b then, a/c = b/c, Transitive Property - If a = b and b = c, then a = c, Subtitution Property - If a = b, then a can be substituted in for b in any equation, parallel lines - ∥ 2 lines that are coplaner and do not intersect; they have the same slopes, line segment - a part of a line that has 2 endpoints, circle - a closed curve where all points are equidistant from a fixed point., diameter - line segment that passes through the center of a circle and has endpoints on the circle., radius - line segment that has endpoints on the center of the circle and on the circle., straight angle - an angle that measures 180 degrees, angle - two rays joined at a common endpoint, point - an exact location in space, collinear - points on the same line, adjacent angles - angles that are next to each other,

Geometry Definitions, Postulates, Theorems, and Properties Frequently Used in Proofs

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