Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 3 - Section 3.1 - Congruent Triangles - Exercises - Page 129: 13


Using method ASA with 2 congruent pair angles and 1 congruent pair of included sides, we can prove that $\triangle ABC\cong\triangle DBC$.

Work Step by Step

It is given that 1) $\angle A\cong\angle D$ 2) $\overline{AB}\cong\overline{BD}$ 3) $\angle 1\cong\angle 2$ 2 angles of $\triangle ABC$ are congruent with 2 angles of $\triangle DBC$ and 1 included side of $\triangle ABC$ is congruent with 1 included side of $\triangle DBC$. Therefore, according to method ASA, $\triangle ABC\cong\triangle DBC$.
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.