Proving Parallel Lines

Converse of Corresponding Angles: In a plane, if two lines are cut by a transversal so that a pair of corresponding angles is congruent, then the lines are parallel.

Converse of Alternate Interior Angles: In a plane, if two lines are cut by a transversal so that a pair of alternate interior angles is congruent, then the two lines are parallel.

Converse of Alternate Exterior Angles: In a plane, if two lines are cut by a transversal so that a pair of alternate exterior angles is congruent, then the two lines are parallel.

Find out more about parallel lines by reading the explanation below.

Proving Parallel Lines


Practice: Answer the following exercises about parallel lines.

Proving Parallel Lines 1

Proving Parallel Lines 2

Proving Parallel Lines 3