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: 17


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, $\triangle ABC\cong\triangle DBC$.
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