Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.1 Points, Lines, Planes, and Angles - Exercise Set 10.1 - Page 618: 70

Answer

The alternate exterior angles are outside of the parallel lines and on the alternate sides of the traversal. The alternate interior angles are between the parallel lines and on the alternate sides of the traversal. The corresponding angles on the same side of the traversal in which one angle is interior and another angle is exterior.

Work Step by Step

If two parallel lines are intersected by a traversal. Then, the angles formed by the traversal are alternate interior angles, alternate exterior angles, and the corresponding angles. The location of the alternate exterior angles are outside of the parallel lines and on the alternate sides of the traversal. The alternate exterior angles are congruent. The location of the alternate interior angles is between the parallel lines and on the alternate sides of the traversal. The alternate interior angles are congruent. The location of the corresponding angles on the same side of the traversal in which one angle is interior and another angle is exterior. The corresponding angles are congruent.
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