Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 5 - Section 5.3 - Proving Triangles Similar - Exercises - Page 242: 12

Answer

According to the Angle-Angle (AA) Similarity Postulate, $\triangle DGH$ ~ $\triangle DEF$

Work Step by Step

Angle-Angle (AA) Similarity Postulate: If two angles of a triangle are congruent to two angles of another triangle, then the two triangles are similar. $\angle DGH \cong \angle DEF$ We can see that $\angle GDH$ and $\angle EDF$ are the same angle. Therefore two angles in the triangles are congruent. According to the Angle-Angle (AA) Similarity Postulate, $\triangle DGH$ ~ $\triangle DEF$
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