REASONS IN PROOFS

Front

What is the Angle Addition Postulate?

Back

If S is in the interior of angle PQR, then m∠PQS + m∠SQR = m∠PQR.

Front

What does the Angle-Angle-Side Theorem (AAS) state?

Back

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Front

What is the Reflexive Property?

Back

For any quantity a, a = a.

Front

What does the Multiplication Property state?

Back

If a = b, then ac = bc for any c.

Front

What is the Substitution Property?

Back

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

Front

Define the Triangle Angle Sum Theorem.

Back

The sum of the angles in a triangle is always 180 degrees.

Front

What is the definition of congruent angles?

Back

Angles that have the same measure.

Front

What does the Transitive Property state?

Back

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

Front

What is the definition of complementary angles?

Back

Two angles that add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Two angles that add up to 180 degrees.