Reflect Point C over the y-axis: A 3 -5 -4 -3 -2 -1 5 -1 O a) (-3, 2) O b) (3,2) O d) (3,0) c) (-2,3) Page 3

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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**Question 7: Reflect Point C over the y-axis**

The image displays a coordinate plane with a triangle formed by three points labeled A, B, and C. The points are connected by lines to illustrate the shape of the triangle.

**Coordinates:**
- Point A is located at (4, 5).
- Point B is located at (-3, 5).
- Point C is located at (3, 2).

The graph includes grid lines marking the coordinate plane from -5 to 5 on both the x-axis and y-axis.

**Task:**
Reflect Point C, currently at (3, 2), over the y-axis.

**Choices:**
- a) (-3, 2)
- b) (3, 2)
- c) (-2, 3)
- d) (3, 0)

**Explanation:**
When reflecting a point over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Thus, the reflection of Point C (3, 2) over the y-axis results in the point (-3, 2). Therefore, option a) (-3, 2) is the correct answer.
Transcribed Image Text:**Question 7: Reflect Point C over the y-axis** The image displays a coordinate plane with a triangle formed by three points labeled A, B, and C. The points are connected by lines to illustrate the shape of the triangle. **Coordinates:** - Point A is located at (4, 5). - Point B is located at (-3, 5). - Point C is located at (3, 2). The graph includes grid lines marking the coordinate plane from -5 to 5 on both the x-axis and y-axis. **Task:** Reflect Point C, currently at (3, 2), over the y-axis. **Choices:** - a) (-3, 2) - b) (3, 2) - c) (-2, 3) - d) (3, 0) **Explanation:** When reflecting a point over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Thus, the reflection of Point C (3, 2) over the y-axis results in the point (-3, 2). Therefore, option a) (-3, 2) is the correct answer.
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