Properties Of Equality
Download as DOCX, PDF12 likes20,656 views
The document outlines various properties of equality and congruence, including addition, subtraction, multiplication, and division properties, as well as reflexive, symmetric, transitive, and substitution properties. It explains how these properties govern the relationships between mathematical expressions and congruent figures. Additionally, it presents the distributive property and properties specific to congruence.
Properties Of Equality
- 1. Properties of EqualityAddition 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 + acProperties of CongruenceReflexive PropertyAB≅AB∠A≅ ∠ASymmetric 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.