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Rotate a point 90 degrees about the origin

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

Answer key: Rotate a point 90 degrees about the origin

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