Angle & Segment Proofs

Front

What is the Definition of Congruence?

Back

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

Front

What is the Transitive Property?

Back

If A = B and B = C, then A = C.

Front

What is the Definition of Midpoint?

Back

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

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 Complementary Angles?

Back

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

Front

What is the Congruent Complements Theorem?

Back

If two angles are complementary to the same angle (or to congruent angles), then they are congruent.

Front

What is the Definition of Bisect?

Back

To bisect means to divide something into two equal parts.

Front

What is the Definition of Supplementary Angles?

Back

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

Front

What is the Congruent Supplements Theorem?

Back

If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

Front

What is the purpose of a Proof in Geometry?

Back

A proof is a logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.