The coordinate of point A on the circle in the following graph, after being rotated 270° in the clockwise direction around the origin will be .
A
(0,0)
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B
(4,0)
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C
(0,-4)
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D
(0,4)
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Solution
The correct option is C (0,-4)
The rotation transformation turns the figure around a point. In this case, the reference point is the origin, i.e., (0, 0).
Rule for clockwise rotation of 270°:
(x, y) → (y,x)
So, the coordinates of point A(-4,0) after rotating 270° clock wise will be (0,-4).