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# Properties Of Equality

## by Grenada High School on Sep 11, 2009

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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.

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 EqualityDocument Transcript

• 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.