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The point V(6,–6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, V'?

Question

The point V(6,–6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, V'?

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Solution

When a point is rotated 180° around the origin, its coordinates change signs. So, the coordinates of the point V'(x,y) will be the opposite of the coordinates of the original point V(6,-6). Therefore, the coordinates of the point V' after the rotation will be V'(-6,6).

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