Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Section 5.3 - Proving Triangles Similar - Exercises - Page 230: 11

Answer

$\triangle DGH$ ~ $\triangle DEF$ because of the Side-Side-Side Similarity Theorem

Work Step by Step

Side-Side-Side Similarity Theorem: If the lengths of corresponding sides of two triangles have the same ratio, then the triangles are similar. Since the lengths of the three sides of these triangles have the same ratio (in this case, the ratio is $\frac{1}{3}$), $\triangle DGH$ ~ $\triangle DEF$ $\triangle DGH$ ~ $\triangle DEF$ because of the Side-Side-Side Similarity Theorem
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