12. Sketch the image of polygon ABCD if it is reflected about the line I. Label the points appropriately. 13. Suppose you connect the A to A' and C to C'. What is the relationship between AA'and CC'? 14. Draw line segments connecting D to D'. Label the point of intersection with the line of reflection as M. What is the relationship between DMand D'M?

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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The image shows a coordinate plane with a diamond-shaped polygon labeled ABCD. The vertices are plotted as follows:

- A is located at (-5, -2)
- B is located at (-4, 2)
- C is located at (2, 1)
- D is located at (1, -3)

A dashed line, labeled as line l, represents the line of reflection. It passes through the origin and appears to have a slope of -1.

Below the graph, there are questions and activities related to the reflection of the polygon:

12. "Sketch the image of polygon ABCD if it is reflected about the line l. Label the points appropriately."

13. "Suppose you connect A to A' and C to C'. What is the relationship between AA' and CC'?"

14. "Draw line segments connecting D to D'. Label the point of intersection with the line of reflection as M. What is the relationship between DM and D'M?"

15. "In the figures below, draw the line of symmetry. If none exists, write ‘none’ on the figure."

The task focuses on reflection symmetry, requiring the student to predict and illustrate the mirrored positions of the points and line segments after reflection across the given line.
Transcribed Image Text:The image shows a coordinate plane with a diamond-shaped polygon labeled ABCD. The vertices are plotted as follows: - A is located at (-5, -2) - B is located at (-4, 2) - C is located at (2, 1) - D is located at (1, -3) A dashed line, labeled as line l, represents the line of reflection. It passes through the origin and appears to have a slope of -1. Below the graph, there are questions and activities related to the reflection of the polygon: 12. "Sketch the image of polygon ABCD if it is reflected about the line l. Label the points appropriately." 13. "Suppose you connect A to A' and C to C'. What is the relationship between AA' and CC'?" 14. "Draw line segments connecting D to D'. Label the point of intersection with the line of reflection as M. What is the relationship between DM and D'M?" 15. "In the figures below, draw the line of symmetry. If none exists, write ‘none’ on the figure." The task focuses on reflection symmetry, requiring the student to predict and illustrate the mirrored positions of the points and line segments after reflection across the given line.
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