What are the new coordinates of point Z if the given figure is rotated 180° around the origin?

To find the new coordinates of point Z after a 180° rotation around the origin, you need to change the signs of both the x-coordinate and y-coordinate.

Given point Z is at (x, y):

– For (−9, −6), rotating gives (9, 6).

– For (−6, 9), rotating gives (6, −9).

– For (9, 6), rotating gives (−9, −6).

– For (6, −9), rotating gives (−6, 9).

Thus, the new coordinates of point Z after rotating 180° around the origin would be (9, 6).

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