Rotate a point 90 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 90° counterclockwise about the origin to the point (−2, 6). What are the coordinates of the image?
Answer: (-6, -2)
Apply a rotation 90° counterclockwise about the origin to the point (7, 3). What are the coordinates of the image?
Answer: (-3, 7)
Apply a rotation 90° clockwise about the origin to the point (−5, 8). What are the coordinates of the image?
Answer: (8, 5)
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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