Properties Of Equality

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

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Properties Of Equality

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

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