The point L(3,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, L'?
Question
The point L(3,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, L'?
Solution
To rotate a point 90 degrees clockwise around the origin, you can use the rule (x, y) -> (y, -x).
Step 1: Identify the original coordinates. In this case, the original point L is (3,5).
Step 2: Apply the rotation rule. The x-coordinate becomes the y-coordinate and the y-coordinate becomes the negative x-coordinate.
So, for point L(3,5), the new coordinates L' would be (5, -3).
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