Week 14 - Parallel and Perpendicular Line Proofs

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

Front

What does the Corresponding Angles Postulate state?

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 can be concluded if two angles are vertical?

Back

If two angles are vertical, then they are congruent.

Front

What is the definition of supplementary angles?

Back

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

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

If angle 1 and angle 2 are corresponding angles, what can be inferred if the lines are parallel?

Back

If the lines are parallel, then angle 1 is congruent to angle 2.

Front

What is the Linear Pair Postulate?

Back

The Linear Pair Postulate states that if two angles form a linear pair, then they are supplementary.

Front

What is the relationship between angles formed by two intersecting lines?

Back

The angles formed by two intersecting lines include vertical angles (which are congruent) and adjacent angles (which are supplementary).

Front

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

Back

If a transversal intersects two lines and the alternate interior angles are congruent, then the lines are parallel.

Front

What is the definition of parallel lines?

Back

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