Alternate Interior Angles Theorem Definition

Scroll down the page if you need more examples and explanations about alternate interior angles and alternate exterior angles. The converse of the alternate interior angles theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent then the lines are parallel. Alternate interior angles theorem.
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Illustrated definition of alternate interior angles.

Alternate interior angles theorem definition. 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. With each pair of alternate interior angles both angles are inside the parallel lines and on opposite alternate sides of the transversal. The alternate interior angles theorem states if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent.

Alternate interior angles alternate interior angles theorem alternate interior angles definition alternate interior angles worksheet alternate interior angles add to 180 degrees alternate. Alternate interior angles and alternate exterior angles the following figure shows some examples of alternate interior and alternate exteriors angle pairs. Because these lines are parallel the theorem tells us that the alternate interior angles are congruent. That is if two lines k and l are cut by a transversal so that the alternate interior angles are congruent then k l.

In the figure above click on other angle pair to visit both pairs of alternate interior angles in turn. When two lines are crossed by another line the transversal a pair of angles on the inner side of each. There are thus two pairs of these angles. A theorem is a proven statement or an accepted idea that has been shown to be true.

Looking at the illustration above the two teal colored lines are parallel to each other. Alternate interior angles definition the angles which are formed inside the two parallel lines when intersected by a transversal are equal to its alternate pairs. The converse of this theorem is also true. These angles are called alternate interior angles.

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