Are Alternate Interior Angles Congruent
Are Alternate Interior Angles Congruent. Alternate interior angles are two congruent angles from different parallel lines (one from L I, one from O N). According to the geometry textbook that the student I'm tutoring brought, the converse is true as well: if the alternate interior angles are congruent, or the consecutive.
Hence, both the angles are equal.
We will now show that the opposite is also true.
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Alternate Interior Angles (Definition, Theorem, Examples, Video...)
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. When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. The converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.
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Sean Lightfoot
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