# Geometry Properties

A logical explanation using statements, postulates, definitions and theorems Proof
Any geometric idea we assume to be true. Postulate
Any geometric idea that can be proved. Theorem
If x = ?4, then x + 4 = ?4 + 4 Addition Property of Equality
If r + 1 = 7, then r + 1 ? 1 = 7 ? 1 Subtraction Property of Equality
If k/2 =8,then k/2(2)=8(2) Multiplication Property of Equality
15 = 15 Reflexive Property
If n = 2, then 2 = n Symmetric Property
If x = 7, then 2x = 2(7). Substitution
If a = b, then a + c= b + c. Addition Property of Equality
a(b + c) = ab + ac Distributive Property
If a = b, then a-c = b-c Subtraction Property of Equality
If a= b then ac = bc Multiplication Property of Equality
If a = b then a/c = b/c Division Property of Equality
a = a Reflexive Property of Equality
If a = b then b = a Symmetric Property
If a = b, then b can be substituted into any expression Substitution
If a = b and b = c then a = c Transitive Property
If x = a and a = y then a = y Transitive Property