D. 27. You are given the following coordinates. Draw a picture on a graph on some scratch paper to help you visualize. A(3, 7), B(-2, 1), C(2, 0) and D(5, -6). Find the coordinates of the image after a rotation of 180° about the origin. A. A'(-3, -7), B'(2, -1), C'(-2, 0), D'(-5, 6) B. A'(3, 7), B'(-2, 1), C'(2, 0), D'(5, -6) C. A'(-7, 3), B'(-1, -2), C'(0, 2), D'(6, 5) D. A'(7,-3), B'(1, 2), C'(0, -2), D'(-6, -5)

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
icon
Related questions
Question
27
### Educational Website Content

#### Problem 1

**Find the coordinates of the image after a reflection across the x-axis.**
Given points:
- \( A( -3, 7 ) \)
- \( B( 2, 1 ) \)
- \( C( -2, 0 ) \)
- \( D( -5, -6 ) \)

**Options:**
A. 
- \( A' ( -3, 7 ) \)
- \( B' ( 2, 1 ) \)
- \( C' ( -2, 0 ) \)
- \( D' ( -5, -6 ) \)

B. 
- \( A' ( 3, 7 ) \)
- \( B' ( 1, -2 ) \)
- \( C' ( 0, 2 ) \)
- \( D' ( -6, 5 ) \)

C. 
- \( A' ( 3, -7 ) \)
- \( B' ( -2, -1 ) \)
- \( C' ( 2, 0 ) \)
- \( D' ( 5, 6 ) \)

D. 
- \( A' ( 2, -3 ) \)
- \( B' ( 4, -6 ) \)
- \( C' ( 3, -1 ) \)
- \( D' ( 10, -12 ) \)

#### Problem 2

**You are given the following coordinates. Draw a picture on a graph on some scratch paper to help you visualize:**
- \( A( 3, 7 ) \)
- \( B( -2, 1 ) \)
- \( C( 2, 0 ) \)
- \( D( 5, -6 ) \)

**Find the coordinates of the image after a rotation of 180° about the origin.**

**Options:**
A. 
- \( A' ( -3, -7 ) \)
- \( B' ( 2, -1 ) \)
- \( C' ( -2, 0 ) \)
- \( D' ( -5, 6 ) \)

B. 
- \( A' ( 3, 7 ) \)
- \( B' ( -2, 1 ) \)
- \( C' ( 2, 0 ) \)
- \(
Transcribed Image Text:### Educational Website Content #### Problem 1 **Find the coordinates of the image after a reflection across the x-axis.** Given points: - \( A( -3, 7 ) \) - \( B( 2, 1 ) \) - \( C( -2, 0 ) \) - \( D( -5, -6 ) \) **Options:** A. - \( A' ( -3, 7 ) \) - \( B' ( 2, 1 ) \) - \( C' ( -2, 0 ) \) - \( D' ( -5, -6 ) \) B. - \( A' ( 3, 7 ) \) - \( B' ( 1, -2 ) \) - \( C' ( 0, 2 ) \) - \( D' ( -6, 5 ) \) C. - \( A' ( 3, -7 ) \) - \( B' ( -2, -1 ) \) - \( C' ( 2, 0 ) \) - \( D' ( 5, 6 ) \) D. - \( A' ( 2, -3 ) \) - \( B' ( 4, -6 ) \) - \( C' ( 3, -1 ) \) - \( D' ( 10, -12 ) \) #### Problem 2 **You are given the following coordinates. Draw a picture on a graph on some scratch paper to help you visualize:** - \( A( 3, 7 ) \) - \( B( -2, 1 ) \) - \( C( 2, 0 ) \) - \( D( 5, -6 ) \) **Find the coordinates of the image after a rotation of 180° about the origin.** **Options:** A. - \( A' ( -3, -7 ) \) - \( B' ( 2, -1 ) \) - \( C' ( -2, 0 ) \) - \( D' ( -5, 6 ) \) B. - \( A' ( 3, 7 ) \) - \( B' ( -2, 1 ) \) - \( C' ( 2, 0 ) \) - \(
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning