This is a nice handout for students to have when reviewing all of the Properties of Equality and begining proofs in Geometry.

1. Properties of Equality Addition PropertyIf a = b, then a + c = b + c. Subtraction PropertyIf a = b, then a – c = b – c. Multiplication PropertyIf a = b, then a c = b c. Division Propertyif a = b and c ≠ 0, then ac= bc. Reflexive Propertya = a Symmetric PropertyIf a = b, then b = a. Transitive PropertyIf a = b and b = c, then a = c. Substitution PropertyIf a= b, then b can replace a in any expression. Distributive Propertya (b + c) = ab + ac Properties of Congruence Reflexive PropertyAB≅AB∠A≅ ∠A Symmetric PropertyIf AB≅ CD, then CD≅AB. If ∠A≅ ∠B, then ∠B≅ ∠A. Transitive PropertyIf AB≅ CD and CD≅ EF, then AB≅ EF. If ∠A≅ ∠B and ∠B≅∠C, then ∠A≅ ∠C.