Segment and Angle Proofs

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 Definition of a Linear Pair?

Back

A linear pair is a pair of adjacent angles formed when two lines intersect. The angles are supplementary.

Front

What does the Angle Addition Postulate state?

Back

If point B is in the interior of angle AOC, then the measure of angle AOB plus the measure of angle BOC equals the measure of angle AOC.

Front

What is the Definition of Bisect?

Back

To bisect an angle means to divide it into two equal parts.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the Transitive Property of Congruence?

Back

If angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C.

Front

What is the Reflexive Property of Congruence?

Back

Any geometric figure is congruent to itself.

Front

What is the Symmetric Property of Congruence?

Back

If angle A is congruent to angle B, then angle B is congruent to angle A.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the relationship between congruence and equality?

Back

Congruent figures have the same shape and size, while equal figures have the same measure.