Alternate Exterior Angles Converse Proof

Remind students that the alternate exterior angles theorem states that if the transversal cuts across two parallel lines then alternate exterior angles are congruent or equal in angle measure.

Alternate exterior angles converse proof. Theorem 37 Alternate Exterior Angles Converse If two lines are cut by a transversal so the alternate exterior angles are congruent then the lines are parallel. What Is The Converse Of The Alternate Interior Angles. The converse of alternate exterior angle theorem states that if the alternate exterior angles formed by two lines which are cut by a transversal are congruent then the lines are parallel.

The converse of the Alternate Exterior Angles Theorem is also true. At each intersection the corresponding angles lie at the same place. The converse of the Alternate Exterior Angles Theorem is also true.

Alternate exterior angles converse alternate exterior angles definition same side interior angles proof you alternate exterior angles theorem. Now point out that according to the converse of the alternate exterior angles theorem if two lines and a transversal form alternate exterior angles that are congruent then the two lines are parallel. Thus the converse of alternate interior angles theorem is proved.

Heres how you prove the converse of the Alternate Interior Angles Theorem. Angle 1 is congruent to angle 8 prove. Angle 1 is congruent to angle 8 prove.

What is the converse of alternate exterior angles Theorem. 142 Theorem 38 Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary then the lines are parallel. Click to see full answer.

If two lines are crossed by a transversal and the alternate exterior angles are congruent then the lines crossed by the transversal are parallel. Alternate exterior angles are congruent if the lines crossed by the transversal are parallel. This diagram shows that vertical angles are always congruent.