The point A(1,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, A'?
Question
The point A(1,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, A'?
Solution
To rotate a point 90 degrees clockwise around the origin, you can use the following transformation rule: (x, y) becomes (y, -x).
So, for the point A(1,5):
- Replace x with y: this gives us 5.
- Replace y with -x: this gives us -1.
Therefore, the coordinates of the point A' after a 90° clockwise rotation around the origin are A'(5, -1).
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