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Math properties

Properites and postulates for Geometry

TermDefinition
Transitive Property of Equality/Congruence If a=b and b=c, then a=c, If AB is congruent to CD and CD is congruent to EF, then AB is congruent to EF
Symmetric Property of Equality/Congruence If a=b then b=a. If measure of angle A= measure of angle B, then measure of angle B= measure of angle A
Reflexive Property of Equality/Congruence a=a. AB is congruent to AB
Distributive Property a(b+c)= ab+ac or a(b-c)= ab-ac
Addition Property If a=b, then a+c=b+c
Subtraction Property If a=b, then a-c=b-c
Multiplication Property If a=b, then ac=ab
Division Property If a=b and c does not equal 0, then a/c=b/c
Substitution Property If a=b, then let b substitute a in any situation
Commutative Property 5+3=3+5
Segment Addition Postulate AB+BC=AC
Angel Addition Postulate measure of angle AOB+ measure of angle BOC= measure of angle AOC
Created by: AlyssaH2021