orWatch a videoThe point J(–2,2) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, J'?
Question
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The point J(–2,2) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, J'?
Solution
To find the coordinates of the point J' after a 270° clockwise rotation around the origin, we can use the rules of rotation in the coordinate plane.
For a 270° clockwise rotation, the rule is (x, y) -> (y, -x).
So, for the point J(-2, 2), we substitute -2 for x and 2 for y in the rule:
J' = (2, 2) -> (2, 2) = (2, 2)
So, the coordinates of the point J' after a 270° clockwise rotation around the origin are (2, 2).
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