Geometric Proofs Review

Front

What does the symbol ⊥ represent in geometry?

Back

The symbol ⊥ means 'perpendicular', indicating that two lines intersect at a right angle.

Front

What is the relationship of angles that are on opposite sides of a transversal and inside two parallel lines?

Back

This relationship is called 'Alternate Interior Angles'.

Front

If two angles form a linear pair, what can we conclude about their measures?

Back

They are supplementary, meaning their measures add up to 180 degrees.

Front

What theorem states that if two angles are vertical angles, then they are congruent?

Back

The Vertical Angles Theorem states that vertical angles are congruent.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What does the Angle Addition Postulate state?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others.

Front

What is the relationship between alternate exterior angles when two parallel lines are cut by a transversal?

Back

Alternate exterior angles are congruent.

Front

What is the definition of a linear pair?

Back

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