Geometry Alternate Interior Angles Theorem

Conversely if a transversal intersects two lines such that a pair of interior angles are equal then the two lines are parallel.

Geometry alternate interior angles theorem. Here we have a new pair of lines parallel and crossed by a transversal. Alternate interior angles theorem the alternate interior angles theorem states if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent. Both angles are interior or both angles are exterior.

When the two lines being crossed are parallel lines the alternate interior angles are equal. Alternate angles are the four pairs of angles that. The alternate interior angles theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent.

The angle pairs are on alternate sides of the transversal and they are on the interior of the two crossed lines. If two parallel lines are cut by a transversal then the alternate interior angles are equal. We have shown that when two parallel lines are intersected by a transversal line the interior alternating angles and exterior alternating angles are congruent that is they have the same measure of the angle.

Have distinct vertex points lie on opposite sides of the transversal and. Alternate interior angle theorem when a transversal intersects two parallel lines each pair of alternate interior angles are equal. In today s geometry lesson we ll prove the converse of the alternate interior angles theorem.

To help you remember. The alternate exterior angles theorem states that if a pair of parallel lines are cut by a transversal then the alternate exterior angles are congruent. Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.

Click on alternate interior angles to have them highlighted for you. Alternate angle theorem states that when two parallel lines are cut by a transversal then the resulting alternate interior angles or alternate exterior angles are congruent. The alternate interior angles theorem states that if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent.