Geometry: Common Core (15th Edition)

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

Chapter 7 - Similarity - Get Ready! - Page 429: 10

Answer

$\triangle ABC ≅ \triangle EBD$ AAS postulate

Work Step by Step

One side on each triangle is marked congruent. Vertical angles are congruent, so one angle is also congruent. $\angle C ≅ \angle D$, so we have two consecutive angles and one side congruent. Therefore, we have $\triangle ABC ≅ \triangle EBD$ by the AAS postulate.
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