Elementary Geometry for College Students (7th Edition) Clone

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: 17

Answer

Using SSS for 3 congruent pairs of sides, we can show that $\triangle ABC\cong\triangle DBC$.

Work Step by Step

It is given that 1) $\overline{AC}\cong\overline{CD}$ 2) $\overline{AB}\cong\overline{BD}$ 3) $\overline{CB}\cong\overline{CB}$ (by Identity) Therefore, now we have 3 sides of $\triangle ABC$ are congruent with 3 sides of $\triangle DBC$. So, according to SSS, $\triangle ABC\cong\triangle DBC$.
Small 1479740069
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.