Algebraic and Geometric Proofs 2.5 - 2.6

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 Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What does it mean for two angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the Definition of Congruence?

Back

Two figures are congruent if they have the same shape and size.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = 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 point B is between points A and C, then AB + BC = AC.

Front

What is the definition of a midpoint?

Back

A midpoint of a segment is the point that divides the segment into two equal parts.