Alternate Interior Angles Are Equal

Alternate interior angles proof you alternate interior angles are congruent proof you proving alternate interior angles are congruent the same alternate interior angles definition theorem examples.

Alternate interior angles are equal. Alternate interior angles alternate interior angles properties. In the above given figure you can see two parallel lines are intersected by a transversal. Prove alternate interior angles are equal.

When the two lines being crossed are parallel lines the alternate interior angles are equal. Click on alternate interior angles to have them highlighted for you. The alternate interior angles theorem states that.

And transversal ps intersecting ab at q and cd at r such that alternate interior angles are equal. If two parallel lines are cut by a transversal then the alternate interior angles are equal. In the case of non parallel lines alternate interior angles don t have any specific properties.

Some of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180. Angle a and the original 124 degree angle are alternate interior angles and equal. Theorem 6 3 if a transversal intersects two lines such that a pair of alternate interior angles is equal then the two lines are parallel.

Given two lines ab and cd. 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 angles which are formed inside the two parallel lines when intersected by a transversal are equal to its alternate pairs.

The alternate angles theorem states that if two parallel lines are cut by a transversal then each pair of alternate interior angles are equal. Proof alternate interior angles are equal. If the pair of lines are parallel then the alternate interior angles are equal to each other.