Consecutive Interior Angles Converse

Consecutive interior angles when two lines are cut by a transversal the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

Consecutive interior angles converse. To help you remember. We explain consecutive interior angles converse with video tutorials and quizzes using our many ways tm approach from multiple teachers. Converse of alternate interior angles theorem proof.

This is the converse because you are given two lines and have to prove that they are parallel the consecutive interior angles converse states that if two lines are cut by a transversal so that consecutive interior angles are supplementary then the lines are parallel. D and f are consecutive interior angles. But inside the two lines.

C d c f d f since d and f are alternate angle and are equal. In today s lesson we will show a simple method for proving the consecutive interior angles converse theorem. The consecutive interior angles theorem states that the consecutive interior angles on the same side of a transversal line intersecting two parallel lines are supplementary that is their sum adds up to 180.

This page explains the consecutive interior angles converse theorem. This theorem states that if two lines are cut by a transversal so that the consecutive interior angles are supplementary then the lines are said to be parallel. Also the angles 4 and 6 are consecutive interior angles.

When two lines are crossed by another line which is called the transversal the pairs of angles. The angle pairs are consecutive they follow each other and they are on the interior of the two crossed lines. This lesson will demonstrate how to prove lines parallel with the converse of the consecutive interior angles theorem.

Usually you are given two parallel lines. Consider the line ab. The pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles.