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