Explore Angle Relationships and Proofs

Front

What are supplementary angles?

Back

Two angles that add up to 180 degrees.

Front

What is the definition of congruence in geometry?

Back

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

Front

What does the Vertical Angles Theorem state?

Back

Vertical angles are always congruent.

Front

What is the Congruent Supplements Theorem?

Back

If two angles are supplements of the same angle (or congruent angles), then they are congruent.

Front

What is the Angle Addition Postulate?

Back

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

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect.

Front

If two angles are complementary, what is their sum?

Back

Their sum is 90 degrees.

Front

What is the definition of adjacent angles?

Back

Two angles that share a common side and a common vertex.

Front

If angles A and B are supplementary, what can be said about their measures?

Back

The sum of their measures is 180 degrees.

Front

What can be concluded if two angles are vertical?

Back

The two angles are congruent.