Properties of Proofs

Front

What is the Multiplication Property of Equality?

Back

If x = y, then ax = ay for any number a.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac.

Front

What does it mean for B to be the midpoint of AC?

Back

AB = BC, meaning the two segments are equal.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any number c.

Front

What is the Substitution Property of Equality?

Back

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

Front

What is the Segment Addition Postulate?

Back

If B is between A and C, then AB + BC = AC.

Front

What is the definition of a segment bisector?

Back

A point, line, or plane that intersects a segment at its midpoint.