Parallel Lines Converse Flashcard

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 congruent, then the lines are parallel.

Front

What can be concluded about consecutive interior angles when two parallel lines are cut by a transversal?

Back

Consecutive interior angles are supplementary.

Front

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

Back

Corresponding angles are congruent (equal).

Front

Define same-side interior angles in the context of parallel lines and a transversal.

Back

Same-side interior angles are pairs of angles that are on the same side of the transversal and between the two lines.

Front

What can be concluded if two lines cut by a transversal have congruent alternate exterior angles?

Back

The lines are parallel.

Front

What is the definition of a transversal in geometry?

Back

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

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 congruent.

Front

What is the relationship between alternate interior angles when two lines are not parallel?

Back

If two lines are not parallel, alternate interior angles may not be congruent.

Front

What does it mean for angles to be supplementary?

Back

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

Front

What is the definition of corresponding angles?

Back

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