Congruent Alternate Interior Angles

Alternate exterior angles are congruent if the lines intercepted by the transversal are parallel.

Congruent alternate interior angles. So in the figure below if k l then 2 8 and 3 5. In the case of non parallel lines alternate interior angles don t have any specific properties. If the two lines are parallel then the alternate interior angles are congruent.

A given line and a point not on tha. Alternate interior angles lie between the lines cut by the transversal. Sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180.

These angles are congruent. The lines are parallel if alternate interior alternate exterior or corresponding angles are congruent. Alternate interior angles are congruent.

Angles one and two marked in this picture are considered non congruent alternate interior angles because the two lines that the transversal crosses are not parallel. This is illustrated in the image below. In this video we will contruct parallel lines using congruent alternate interior angles given the following information.

When two lines are crossed by another line called the transversal alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. Alternate interior angles are created when a transversal crosses two parallel lines. Proving alternate interior angles are congruent the same alternate interior angles definition theorem examples unit 1 study guide transformations congruence and similarity pdf alternate exterior angles definition theorem examples.

Learn about alternate interior angles. Each pair of these angles are inside the parallel lines and on opposite sides of the transversal. Corresponding angles lie in the same position at each intersection.