Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - Mid-Chapter Quiz - Page 459: 7


$m \angle A = m \angle D$

Work Step by Step

We are given that $\triangle ABC$ ∼ $\triangle DBF$. In similar triangles, corresponding angles are congruent, and corresponding sides are proportional. Let us list the congruent angles in the two triangles: $\angle A ≅ \angle D$ $\angle B ≅ \angle B$ $\angle C ≅ \angle F$ Therefore, $m \angle A = m \angle D$.
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