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What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ? Hint: Look for point A and apply the rule (x, y) →(-y, x) 5. A. *7 3 10 -7 미a) (-1, 2) O b) (2, -1) O c) (-2, -1) O d) (-1, -2)

What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ? Hint: Look for point A and apply the rule (x, y) →(-y, x) 5. A. *7 3 10 -7 미a) (-1, 2) O b) (2, -1) O c) (-2, -1) O d) (-1, -2)

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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**Question:** 5. What would be the location of A' after a 90 degree counterclockwise rotation of point (A)? *Hint:* Look for point A and apply the rule \((x, y) \rightarrow (-y, x)\). **Graph Description:** The graph displays a coordinate plane with a quadrilateral labeled ABCD. The points are plotted as follows: - Point A is located at \((3, 1)\). - Point B, C, and D form the rest of the shape, but their coordinates aren't specified. **Rotation Explanation:** To find the new location of point A after a 90-degree counterclockwise rotation, we use the transformation rule \((x, y) \rightarrow (-y, x)\). *Original coordinates of A: \((3, 1)\)* *Applying the rule:* - \((-y, x)\) results in \((-1, 3)\). **Answer Choices:** a) \((-1, 2)\) b) \((2, -1)\) c) \((-2, -1)\) d) \((-1, -2)\) The correct location of A' after rotation is not among the given choices. Verify the transformation and provided options.
Transcribed Image Text:**Question:** 5. What would be the location of A' after a 90 degree counterclockwise rotation of point (A)? *Hint:* Look for point A and apply the rule \((x, y) \rightarrow (-y, x)\). **Graph Description:** The graph displays a coordinate plane with a quadrilateral labeled ABCD. The points are plotted as follows: - Point A is located at \((3, 1)\). - Point B, C, and D form the rest of the shape, but their coordinates aren't specified. **Rotation Explanation:** To find the new location of point A after a 90-degree counterclockwise rotation, we use the transformation rule \((x, y) \rightarrow (-y, x)\). *Original coordinates of A: \((3, 1)\)* *Applying the rule:* - \((-y, x)\) results in \((-1, 3)\). **Answer Choices:** a) \((-1, 2)\) b) \((2, -1)\) c) \((-2, -1)\) d) \((-1, -2)\) The correct location of A' after rotation is not among the given choices. Verify the transformation and provided options.
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