## Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole

# Chapter 3 - Section 3.1 - Congruent Triangles - Exercises: 32

#### Answer

Use method SAS for the following pairs: 1) $\angle TRS\cong\angle VSR$ 2) $\overline{TR}\cong\overline{VS}$ 3) $\overline{RS}\cong\overline{SR}$

#### Work Step by Step

It is already given that 1) $\angle TRS\cong\angle VSR$ 2) $\overline{TR}\cong\overline{VS}$ Furthermore, $\overline{RS}\cong\overline{SR}$ So, we have 2 lines and the included angle of $\triangle VRS$ are congruent with 2 corresponding lines and the included angle of $\triangle TSR$. Therefore, according to method SAS, $\triangle VRS\cong\triangle TSR$

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