If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
(−9, −6)
(−6, 9)
(9, 6)
(6, −9)
What are the new coordinates of point Z if the given figure is rotated 180° around the origin?
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If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
(−9, −6)
(−6, 9)
(9, 6)
(6, −9)
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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