Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

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