Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 9

Answer

True.

Work Step by Step

True. Notice that two corresponding angles are equal in both triangles ($25^{\circ}$ and $100^{\circ}$). This means that the third angle is the same in both triangles as well ($180-25-100=55^{\circ}$). Since the two triangles have the same angles, they will have the same "shape" and hence are similar.
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