The point L(–4,–5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, L'?
Question
The point L(–4,–5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, L'?
Solution
When a point is rotated 90° counterclockwise around the origin, the original x-coordinate becomes the negative of the original y-coordinate, and the original y-coordinate becomes the original x-coordinate.
So, for the point L(-4,-5), the x-coordinate -4 becomes the negative of the y-coordinate -5, which is 5. The y-coordinate -5 becomes the x-coordinate -4.
Therefore, the coordinates of the resulting point L' after the rotation are (5, -4).
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