Geometry proofs

Front

What is the Linear Pair Postulate?

Back

If two angles form a linear pair, then they are supplementary, meaning their measures add up to 180 degrees.

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 a segment bisector?

Back

A segment bisector is a point, line, ray, or segment that divides a segment into two equal parts.

Front

What is the Transitive Property of Equality?

Back

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

Front

What can be concluded about vertical angles?

Back

Vertical angles are congruent, meaning their measures are equal.

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

What is the definition of a straight angle?

Back

A straight angle is an angle that measures exactly 180 degrees.

Front

What is the definition of congruent angles?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal segments.

Front

What is the definition of complementary angles?

Back

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