Properties of Equality

Segment Reflexive Property of Equality

AB = AB

Segment Transitive Property of Equality

If AB = CD and CD = EF, then AB = EF.

Segment Symmetric Property of Equality

If AB = CD, then CD = AB.

Symmetric Property of Equality

If a = b and b = a.

Transitive Property of Equality

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

Division Property of Equality

If a = b and c ≠ 0, then, a/c = b/c.

Subtraction Property of Equality

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

Addition Property of Equality

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

Substitution Property of Equality

If a = b, then a may be replaced by b in any equation or expression.

Multiplication Property of Equality

If a = b, then a • c = b • c.

Angle Transitive Property of Equality

If m∠1 = m∠2 and m∠2 = m∠3, then m∠1 = m∠3.

Angle Symmetric Property of Equality

If m∠1 = m∠2, then m∠2 = m∠1.

Distributive Property

a (b + c) = ab + ac

Reflexive Property of Equality

a = a

Angle Reflexive Property of Equality

m∠1 = m∠1