Properties and Postulates

Ms. Fuller || Geometry Honors || 2024-25

Postulate

Statement accepted without proof

Reflexive Property of Equality

A quantity is equal to itself - m<A = m<A

Symmetric Property of Equality

Values on each side of an equation can be flipped. If a = b, b = a.

Transitive Property of Equality

If a = b & b = c, a = c

Partition Postulate

A whole equals the sum of all its parts

Substitution Postulate

A quantity may be substituted for it’s equal in any expression

Addition Postulate

If a = b & c = d, a + c = b + d

Subtraction Postulate

If a = b & c = d, a - c = b - d

Multiplication Postulate

If a = b & c = d, ac = bd

Division Postulate

If a = b & c = d, a/c = b/d. CANNOT DIVIDE BY ZERO