1. Which two triangles are congruent by ASA? Explain. Y

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
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**Question:**

1. Which two triangles are congruent by ASA? Explain.

**Diagram Explanation:**

The image shows two triangles:

- Triangle SVT
  - Angle S, marked with an arc
  - Angle V, marked with a double arc
  - Side VT has a notch indicating it's equal to side XY

- Triangle RXY
  - Angle R, marked with an arc
  - Angle X, marked with a double arc

In both triangles:
- Angle R (in triangle RXY) is congruent to Angle S (in triangle SVT).
- Angle X (in triangle RXY) is congruent to Angle V (in triangle SVT).
- The side VT in triangle SVT is congruent to side XY in triangle RXY, as indicated by the marks.

This demonstrates that these triangles are congruent by the Angle-Side-Angle (ASA) postulate because two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
Transcribed Image Text:**Question:** 1. Which two triangles are congruent by ASA? Explain. **Diagram Explanation:** The image shows two triangles: - Triangle SVT - Angle S, marked with an arc - Angle V, marked with a double arc - Side VT has a notch indicating it's equal to side XY - Triangle RXY - Angle R, marked with an arc - Angle X, marked with a double arc In both triangles: - Angle R (in triangle RXY) is congruent to Angle S (in triangle SVT). - Angle X (in triangle RXY) is congruent to Angle V (in triangle SVT). - The side VT in triangle SVT is congruent to side XY in triangle RXY, as indicated by the marks. This demonstrates that these triangles are congruent by the Angle-Side-Angle (ASA) postulate because two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
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