Alternate Interior Angles Definition Math
When two lines are cut by a transversal the pair of angles formed interior of the two lines and on the opposite of the transversal is called alternate interior angles.
Alternate interior angles definition math. Try it and convince yourself this is true. Definition of alternate interior angles. The angles which are formed inside the two parallel lines when intersected by a transversal are equal to its alternate pairs. In the above given figure you can see two parallel lines are intersected by a transversal.
Sometimes we refer to alternate. Angles a and b in the diagram on the left are alternate interior angles. Illustrated definition of alternate interior angles. Once you can recognize and break apart the various parts of parallel lines with transversals you can use the alternate interior angles theorem to speed up your work.
So in the figure above as you move points a or b the two alternate angles shown always have the same measure. Alternate interior angles are the inside angles of the z shape that is formed from the two lines and the transversal. L a r is an alternate interior angle with a r n i a r is an alternate interior angle with a r o. When the two lines crossed by the transversal are parallel the alternate interior angles are equal.
These angles are called alternate interior angles. Therefore the alternate angles inside the parallel lines will be equal. Alternate interior angles theorem.
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