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: 44

Answer

GH corresponds to GF HK corresponds to FE KG corresponds to EG

Work Step by Step

1. ∠HGK corresponds to ∠FGE Those are vertical angles, therefore congruent. 2. ∠GHK corresponds to ∠GFE ∠GKH correspond to ∠GEF Since HK and EF are parallel, angles are alternate interior angles, and congruent. 3. By matching the angles with lines you can figure out corresponding sides. GH corresponds to GF HK corresponds to FE KG corresponds to EG
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