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If the triangle below is rotated 90° counterclockwise, which of the following coordinates is correct?

If the triangle below is rotated 90° counterclockwise, which of the following coordinates is correct?

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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If the triangle below is rotated 90∘ counterclockwise, which of the following coordinates is correct?

The options below represent different points and their coordinates on a coordinate plane: - The coordinate of point K' is \((-3, -5)\). - The coordinate of point K' is \((5, -3)\). - The coordinate of point J' is \((-2, 0)\). - The coordinate of point L' is \((0, -4)\). Each option is a potential choice represented by a radio button, indicating a typical multiple-choice format. There are no graphs or diagrams to explain.
Transcribed Image Text:The options below represent different points and their coordinates on a coordinate plane: - The coordinate of point K' is \((-3, -5)\). - The coordinate of point K' is \((5, -3)\). - The coordinate of point J' is \((-2, 0)\). - The coordinate of point L' is \((0, -4)\). Each option is a potential choice represented by a radio button, indicating a typical multiple-choice format. There are no graphs or diagrams to explain.
**If the triangle below is rotated 90° counterclockwise, which of the following coordinates is correct?** This graph displays a coordinate plane with a triangle formed by three vertices labeled J, K, and L. The x and y axes intersect at the origin (0,0). **Vertex Coordinates:** - Point J is located at (-2, 2). - Point K is located at (3, 5). - Point L is located at (4, 0). To solve the problem, we need to determine the new coordinates of each vertex after a 90° counterclockwise rotation. This transformation involves swapping the coordinates and changing the sign of the new x-coordinate: For a point (x, y), the new coordinates after a 90° counterclockwise rotation would be (-y, x). **New Coordinates:** - Point J (-2, 2) becomes (-2, -2). - Point K (3, 5) becomes (-5, 3). - Point L (4, 0) becomes (0, 4). Thus, the correct new coordinates after the rotation should be calculated and verified as described.
Transcribed Image Text:**If the triangle below is rotated 90° counterclockwise, which of the following coordinates is correct?** This graph displays a coordinate plane with a triangle formed by three vertices labeled J, K, and L. The x and y axes intersect at the origin (0,0). **Vertex Coordinates:** - Point J is located at (-2, 2). - Point K is located at (3, 5). - Point L is located at (4, 0). To solve the problem, we need to determine the new coordinates of each vertex after a 90° counterclockwise rotation. This transformation involves swapping the coordinates and changing the sign of the new x-coordinate: For a point (x, y), the new coordinates after a 90° counterclockwise rotation would be (-y, x). **New Coordinates:** - Point J (-2, 2) becomes (-2, -2). - Point K (3, 5) becomes (-5, 3). - Point L (4, 0) becomes (0, 4). Thus, the correct new coordinates after the rotation should be calculated and verified as described.
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