Alternate Interior Angles Converse

We explain alternate interior angles converse with video tutorials and quizzes using our many ways tm approach from multiple teachers.

Alternate interior angles converse. Alternate exterior angles are created in the space outside the parallel lines on alternating sides. If alternate interior angles formed by two lines with an intersecting traversal are congruent. So it would look like this.

Interior angles are created in the space inside the parallel lines. Alternate interior angles examples we can prove both these theorems so you can add them to your toolbox. The converse of this theorem is also true.

That is if two lines k and l are cut by a transversal so that the alternate interior angles are congruent then k l. When a transversal crosses two other lines it creates an exterior and interior for the parallel lines. Converse theorem is the one obtained by taking a conclusion as a premise of a theorem and a premise as conclusion.

Converse of alternate interior angles theorem proof. If a transversal intersects two lines in such a way that a pair of alternate interior angles are equal then the two lines are parallel. This video shows a proof of the alternate interior angle converse.

The converse of the theorem is also true. The converse of the alternate interior angle theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent then the lines are parallel. Transversal efgh intersects lines ab and cd such that a pair of alternate e are equal.

How to prove of the converse of the alternate interior angles theorem. The converse of this theorem which is basically the opposite is also a proven statement. This lesson will demonstrate how to prove lines parallel with the converse of the alternate interior angles theorem.