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: 20b

Answer

To prove triangles congruent, use method SSS for the following pairs: 1) $\overline{MN}\cong\overline{MQ}$ 2) $\overline{PN}\cong\overline{PQ}$ 3) $\overline{MP}\cong\overline{MP}$

Work Step by Step

Here we have 1) $\overline{MN}\cong\overline{MQ}$ 2) $\overline{PN}\cong\overline{PQ}$ 3) $\overline{MP}\cong\overline{MP}$ So 3 sides of $\triangle MNP$ are congruent with 3 sides of $\triangle MQP$. That means $\triangle MNP\cong\triangle MQP$ according to SSS.
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