R Given: VS = TR and ZTRS = VSR Prove: ARST = ASRV

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Diagram Description:**
The diagram shows two intersecting triangles: \( \triangle RST \) and \( \triangle SRV \). These triangles share a common side \( RS \).

**Given Information:**
1. \( \overline{VS} \cong \overline{TR} \)
2. \( \angle TRS \cong \angle VSR \)

**To Prove:**
\( \triangle RST \cong \triangle SRV \)

The problem presents a congruence proof involving geometric figures, which requires demonstrating that the triangles are congruent based on the given information.
Transcribed Image Text:**Diagram Description:** The diagram shows two intersecting triangles: \( \triangle RST \) and \( \triangle SRV \). These triangles share a common side \( RS \). **Given Information:** 1. \( \overline{VS} \cong \overline{TR} \) 2. \( \angle TRS \cong \angle VSR \) **To Prove:** \( \triangle RST \cong \triangle SRV \) The problem presents a congruence proof involving geometric figures, which requires demonstrating that the triangles are congruent based on the given information.
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