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

Answer key: Rotate a point 180 degrees about the origin

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