Unit 3 HW 3 - Proving Lines are Parallel

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 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 Alternate Exterior Angles Theorem?

Back

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

Front

What is the Consecutive Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary (adds up to 180 degrees).

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 Converse of the Alternate Interior Angles Theorem?

Back

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

Front

What is the Converse of the Alternate Exterior Angles Theorem?

Back

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

Front

What is the Converse of the Consecutive Interior Angles Theorem?

Back

If two lines are cut by a transversal and the consecutive interior angles are supplementary, then the lines are parallel.

Front

How can you determine if two lines are parallel using angles?

Back

By checking if corresponding angles, alternate interior angles, or alternate exterior angles are equal, or if consecutive interior angles are supplementary.