Week 14 - Parallel and Perpendicular Line Proofs

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is a transversal?

Back

A transversal is a line that intersects two or more lines in a plane at different points.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different lines cut by a transversal.

Front

What is the Corresponding Angles Postulate?

Back

The Corresponding Angles Postulate states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line and are supplementary.

Front

What does it mean for angles to be congruent?

Back

Angles are congruent if they have the same measure.

Front

What does it mean for angles to be supplementary?

Back

Angles are supplementary if the sum of their measures is 180 degrees.

Front

How can you prove that two lines are parallel using angles?

Back

If a pair of alternate interior angles are congruent, then the lines are parallel.