for a quilt using polygon EQFRGSHP shown.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
8.
**8. Evelyn is designing a pattern for a quilt using polygon EQFRGSHP shown.**

The diagram shows a coordinate plane with a polygon labeled EQFRGSHP plotted on it. The x-axis ranges from -10 to 10 and the y-axis ranges from -10 to 10. The vertices of the polygon are marked as follows:

- \( E (-4, 4) \)
- \( Q (-3, 2) \)
- \( F (0, 4) \)
- \( R (-2, -2) \)
- \( G (4, -2) \)
- \( S (-6, -2) \)
- \( H (-8, -4) \)
- \( P (-6, 6) \)

**Question:** 
Evelyn transforms \( EQFRGSHP \) so that the image of \( E \) is at \( (2, 0) \) and the image of \( R \) is at \( (6, -7) \). 

Which transformation could Evelyn have used to show \( EQFRGSHP \) and its image are congruent?

**Options:**
A. \( EQFRGSHP \) was reflected over the line \( y = x + 2 \).  
B. \( EQFRGSHP \) was translated right 7 units and down 4 units.  
C. \( EQFRGSHP \) was rotated 135 degrees clockwise about the point Q.  
D. \( EQFRGSHP \) was rotated 90 degrees clockwise about the point \((-3, -1)\).  

- **Grid Details:** The grid helps visualize the transformation needed for the polygon. Each square represents one unit on the coordinate plane. The intersection points of the lines are used to determine the new positions of the vertices after transformation.
Transcribed Image Text:**8. Evelyn is designing a pattern for a quilt using polygon EQFRGSHP shown.** The diagram shows a coordinate plane with a polygon labeled EQFRGSHP plotted on it. The x-axis ranges from -10 to 10 and the y-axis ranges from -10 to 10. The vertices of the polygon are marked as follows: - \( E (-4, 4) \) - \( Q (-3, 2) \) - \( F (0, 4) \) - \( R (-2, -2) \) - \( G (4, -2) \) - \( S (-6, -2) \) - \( H (-8, -4) \) - \( P (-6, 6) \) **Question:** Evelyn transforms \( EQFRGSHP \) so that the image of \( E \) is at \( (2, 0) \) and the image of \( R \) is at \( (6, -7) \). Which transformation could Evelyn have used to show \( EQFRGSHP \) and its image are congruent? **Options:** A. \( EQFRGSHP \) was reflected over the line \( y = x + 2 \). B. \( EQFRGSHP \) was translated right 7 units and down 4 units. C. \( EQFRGSHP \) was rotated 135 degrees clockwise about the point Q. D. \( EQFRGSHP \) was rotated 90 degrees clockwise about the point \((-3, -1)\). - **Grid Details:** The grid helps visualize the transformation needed for the polygon. Each square represents one unit on the coordinate plane. The intersection points of the lines are used to determine the new positions of the vertices after transformation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,