Properties of Equality and Proofs

Front

What is the Definition of Congruent Angles?

Back

Two angles are congruent if they have the same measure.

Front

What is the Transitive Property?

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.

Front

What is the Inverse of a Conditional Statement?

Back

Negate both the hypothesis and conclusion.

Front

What is the Contrapositive of a Conditional Statement?

Back

Negate both the hypothesis and conclusion and switch them.

Front

What is the Reflexive Property of Congruence?

Back

Any geometric figure is congruent to itself.

Front

What is the Definition of Complementary Angles?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is the Substitution Property?

Back

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

Front

What is the Converse of a Conditional Statement?

Back

Switch the hypothesis and conclusion.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.