
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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If the

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.

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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