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Rotate a point 90 or 180 degrees about the origin

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

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).

  1. Apply a rotation 180° about the origin to the point (1, −8). What are the coordinates of the image?
  2. Apply a rotation 180° about the origin to the point (3, 6). What are the coordinates of the image?
  3. Apply a rotation 90° clockwise about the origin to the point (1, 7). What are the coordinates of the image?
  4. Apply a rotation 90° counterclockwise about the origin to the point (−8, −7). What are the coordinates of the image?
  5. Apply a rotation 90° counterclockwise about the origin to the point (−2, −6). What are the coordinates of the image?
  6. Apply a rotation 180° about the origin to the point (1, −4). What are the coordinates of the image?
  7. Apply a rotation 90° clockwise about the origin to the point (−6, −5). What are the coordinates of the image?
  8. Apply a rotation 180° about the origin to the point (−10, 2). What are the coordinates of the image?
  9. Apply a rotation 90° clockwise about the origin to the point (−2, −12). What are the coordinates of the image?
  10. Apply a rotation 90° clockwise about the origin to the point (−11, −3). What are the coordinates of the image?
  11. Apply a rotation 90° clockwise about the origin to the point (−10, 6). What are the coordinates of the image?
  12. Apply a rotation 90° clockwise about the origin to the point (5, −6). What are the coordinates of the image?
  13. Apply a rotation 90° counterclockwise about the origin to the point (14, 5). What are the coordinates of the image?
  14. Apply a rotation 90° counterclockwise about the origin to the point (−3, −4). What are the coordinates of the image?
  15. Apply a rotation 90° clockwise about the origin to the point (−2, 6). What are the coordinates of the image?
  16. Apply a rotation 90° counterclockwise about the origin to the point (−7, 2). What are the coordinates of the image?
  17. Apply a rotation 180° about the origin to the point (20, 13). What are the coordinates of the image?
  18. Apply a rotation 180° about the origin to the point (−14, −1). What are the coordinates of the image?
  19. Apply a rotation 180° about the origin to the point (8, −7). What are the coordinates of the image?
  20. Apply a rotation 90° clockwise about the origin to the point (14, 1). What are the coordinates of the image?
More free practice: fieldbooklearning.com/uk/practice/year-9/rotate-a-point-90-or-180-degrees-about-the-origin/

Answer key: Rotate a point 90 or 180 degrees about the origin

  1. (-1, 8)
  2. (-3, -6)
  3. (7, -1)
  4. (7, -8)
  5. (6, -2)
  6. (-1, 4)
  7. (-5, 6)
  8. (10, -2)
  9. (-12, 2)
  10. (-3, 11)
  11. (6, 10)
  12. (-6, -5)
  13. (-5, 14)
  14. (4, -3)
  15. (6, 2)
  16. (-2, -7)
  17. (-20, -13)
  18. (14, 1)
  19. (-8, 7)
  20. (1, -14)