Properties to Memorize

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

Addition Property of Equality

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

Subtraction Property of Equality

If a = b, then a • c = b • c.

Multiplication Property of Equality

If a = b and c ≠ 0, then (a/c) = (b/c) .

Division Property of Equality

If a (b + c), then a • b + a • c.

Distributive Property

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

Substitution Property of Equality

For any real number a, a = a.

Reflexive Property of Equality

If a = b, then b = a.

Symmetric Property of Equality

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

Transitive Property of Equality

For any geometric figure A, A is congruent to A .

Reflexive Property of Congruence

If A is congruent to B, then B is congruent to A.

Symmetric Property of Congruence

If A is congruent to B and B is congruent to C, then A is congruent to C.

Transitive Property of Congruence