Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 3 - Section 3.1 - Congruent Triangles - Exercises: 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, $\triangle ABC\cong\triangle AED$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.