Geometry: Parallel Lines + Proofs

Front

What are parallel lines?

Back

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

Front

What is the Corresponding Angles Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the Converse of the Corresponding Angles Postulate?

Back

If two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.

Front

What is the Linear Pair of Angles?

Back

A pair of adjacent angles whose non-common sides form a straight line.

Front

What is the Vertical Angle Theorem?

Back

Vertical angles are equal when two lines intersect.

Front

What are Alternate Exterior Angles?

Back

Angles that are on opposite sides of a transversal and outside the two lines.

Front

What are Consecutive Interior Angles?

Back

Angles that are on the same side of the transversal and inside the two lines.

Front

If ∠1 and ∠5 are Alternate Exterior Angles, what can be said about the lines they lie on?

Back

The lines are parallel.

Front

If ∠4 and ∠7 form a Linear Pair, what is their relationship?

Back

They are supplementary angles, meaning they add up to 180 degrees.