Alternate Interior Angles Definition Geometry

Alternate Interior Angles Definition Geometry. You would be outside, at the exterior, of the parallel lines. In other words, when two parallel lines are intersected by a transversal, eight angles are formed.

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Among these, the angles that lie on the inner side of the parallel lines but on the opposite sides of the transversal are known as the alternate interior angles. It is because transversal T contains two distinct points on the plane. We say that each of the angles of intersection of and m and of and n has a transversal side in and a non-transversal side not contained.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

The alternate interior angles can prove whether the given lines are parallel or not.

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Often, two of the lines will be parallel, setting up some interesting angles with the transversal. A pair of angles in which one arm of each of the angles is on opposite sides of the transversal and whose other arms include segment PQ is called a pair of alternate interior angles. Notice that the two alternate interior angles shown are equal in measure if the lines PQ and RS are parallel.

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