Elementary Geometry for College Students (7th Edition)

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

Chapter 3 - Section 3.1 - Congruent Triangles - Exercises - Page 143: 19b

Answer

To prove the triangles congruent, use method ASA with the following pairs: 1) $\angle B\cong\angle E$ 2) $\overline{AB}\cong\overline{AE}$ 3) $\angle A\cong\angle A$ (by Identity)

Work Step by Step

Here we find that 1) $\angle B\cong\angle E$ 2) $\overline{AB}\cong\overline{AE}$ 3) $\angle A\cong\angle A$ (by Identity) So we have 2 angles and the included side of $\triangle ABC$ are congruent with 2 angles and the included side of $\triangle AED$. Therefore, according to method ASA, $\triangle ABC\cong\triangle AED$.
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