Geometry segment and angle definitions, postulates, and theorems

Front

What is the definition of complementary angles?

Back

If the measures of angles A and B are such that m∠A + m∠B = 90 degrees, then angles A and B are complementary.

Front

What does the Congruent Complements Theorem state?

Back

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

Front

What is the Segment Addition Postulate?

Back

Front

What is the Reflexive Property of Equality?

Back

For any quantity a, it holds that a = a.

Front

What is the Substitution Property?

Back

If two quantities are equal, one can be substituted for the other in any expression.

Front

What is the definition of a right angle?

Back

An angle that measures exactly 90 degrees.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the definition of supplementary angles?

Back

If the measures of angles A and B are such that m∠A + m∠B = 180 degrees, then angles A and B are supplementary.

Front

What is the definition of adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

What is the definition of a linear pair?

Back

A linear pair is a pair of adjacent angles whose non-common sides form a straight line. They are supplementary.