Properties of Equality and Congruence

Front

Addition Property of Equality

Back

If a = b, then a + c = b + c

Front

Subtraction Property of Equality

Back

If a = b, then a - c = b - c

Front

Multiplication Property of Equality

Back

If a = b, then ac = bc

Front

Division Property of Equality

Back

Front

Reflexive Property of Equality

Back

a = a

Front

Substitution Property of Equality

Back

If a = b, then b can be substituted for a in any expression

Front

Symmetric Property of Equality

Back

If a = b, then b = a

Front

Transitive Property of Equality

Back

If a = b and b = c, then a = c

Front

Distributive Property

Back

a(b + c) = ab + ac

Front

Simplify

Back

Combine Like Terms