Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 17: 43

Answer

BE corresponds to BC EA corresponds to DC AB corresponds to CB

Work Step by Step

1. $\angle ABE$ corresponds to $\angle CBD$ These are vertical angles, therefore congruent 2. $\angle AEB$ corresponds to $\angle CDB$ $\angle EAB$ correspond to $\angle DCB$ Since EA and CD are parallel, these angles are alternate interior angles, so congruent 3. By matching the lines you can figure out what sides correspond BE corresponds to BC EA corresponds to DC AB corresponds to CB
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