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What are the coordinates of the image if the preimage is reflected over x = -1? A (5, 4) A' = ( B (3, 2) B' = ( C (1, 1) C' = ( D(-1, -3) D' = (

What are the coordinates of the image if the preimage is reflected over x = -1? A (5, 4) A' = ( B (3, 2) B' = ( C (1, 1) C' = ( D(-1, -3) D' = (

Elementary Geometry For College Students, 7e
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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**Reflection of Coordinates Over x = -1** In this exercise, you are asked to determine the coordinates of a shape after it is reflected over the line x = -1. Below is a diagram and the task at hand: **Diagram Explanation:** - A purple polygon with vertices labeled A, B, C, and D is plotted on a coordinate plane. - The vertices of the preimage are given as: - A (5, 4) - B (3, 2) - C (1, 1) - D (-1, -3) **Task:** Reflect each point over the vertical line x = -1 and provide the new coordinates: - A' (reflected coordinate) - B' (reflected coordinate) - C' (reflected coordinate) - D' (reflected coordinate) As a reminder, reflecting a point over a vertical line involves finding the horizontal distance from the point to the line of reflection and recreating the same distance on the opposite side. Start by calculating the distance each original point is from the line x = -1, and use that to find each reflected point. Fill in the boxes with the new coordinates for A', B', C', and D'.
Transcribed Image Text:**Reflection of Coordinates Over x = -1** In this exercise, you are asked to determine the coordinates of a shape after it is reflected over the line x = -1. Below is a diagram and the task at hand: **Diagram Explanation:** - A purple polygon with vertices labeled A, B, C, and D is plotted on a coordinate plane. - The vertices of the preimage are given as: - A (5, 4) - B (3, 2) - C (1, 1) - D (-1, -3) **Task:** Reflect each point over the vertical line x = -1 and provide the new coordinates: - A' (reflected coordinate) - B' (reflected coordinate) - C' (reflected coordinate) - D' (reflected coordinate) As a reminder, reflecting a point over a vertical line involves finding the horizontal distance from the point to the line of reflection and recreating the same distance on the opposite side. Start by calculating the distance each original point is from the line x = -1, and use that to find each reflected point. Fill in the boxes with the new coordinates for A', B', C', and D'.
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