Rotate a point 180 degrees about the origin
A 180° turn changes both signs. A 90° counterclockwise turn sends (x, y) to (−y, x). A 90° clockwise turn sends (x, y) to (y, −x).
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Apply a rotation 180° about the origin to the point (2, −5). What are the coordinates of the image?
Answer: (-2, 5)
Apply a rotation 180° about the origin to the point (−5, −7). What are the coordinates of the image?
Answer: (5, 7)
Apply a rotation 180° about the origin to the point (−1, 7). What are the coordinates of the image?
Answer: (1, -7)
Tip: A 180° turn changes both signs. A 90° counterclockwise turn sends (x, y) to (−y, x). A 90° clockwise turn sends (x, y) to (y, −x).
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