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.

Name: 8. **8. Evelyn is designing a pattern for a quilt using polygon EQFRGS
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Description: 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 o

Answered: for a quilt using polygon EQFRGSHP…

Math

Advanced Math

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

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Topic Video

Question

**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.

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