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Class 8 maths · K.19 · Transformations

Which rotation about the origin?

Compare the coordinates. 180°: both signs change. 90° clockwise: (x, y) goes to (y, −x). 90° counterclockwise: (x, y) goes to (−y, x).

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  1. A point is rotated about the origin from (4, 3) to (3, −4). Which rotation was it? Write 90cw, 90ccw or 180.

    Answer: 90cw

  2. A point is rotated about the origin from (4, −1) to (−1, −4). Which rotation was it? Write 90cw, 90ccw or 180.

    Answer: 90cw

  3. A point is rotated about the origin from (−7, 5) to (5, 7). Which rotation was it? Write 90cw, 90ccw or 180.

    Answer: 90cw

Tip: Compare the coordinates. 180°: both signs change. 90° clockwise: (x, y) goes to (y, −x). 90° counterclockwise: (x, y) goes to (−y, x).

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