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Transform points by translating, reflecting and rotating

Year 10 maths · Fieldbook Learning

Name ______________________ Date __________

Apply the move to the point one step at a time.

  1. The point (3, −2) is translated by (−2, −3). What are the new coordinates?
  2. The point (8, 0) is translated by (5, −7). What are the new coordinates?
  3. The point (−2, 2) is translated by (5, −2). What are the new coordinates?
  4. The point (4, −9) is translated by (−7, −7). What are the new coordinates?
  5. The point (−7, 4) is reflected over the y-axis. What are the new coordinates?
  6. The point (4, 5) is reflected over the y-axis. What are the new coordinates?
  7. The point (−4, −2) is reflected over the y-axis. What are the new coordinates?
  8. The point (−9, 8) is reflected over the y-axis. What are the new coordinates?
  9. The point (4, 0) is reflected over the line y = −x. What are the new coordinates?
  10. The point (9, −6) is reflected over the x-axis. What are the new coordinates?
  11. The point (8, 1) is reflected over the line y = −x. What are the new coordinates?
  12. The point (−7, −8) is reflected over the line y = −x. What are the new coordinates?
  13. The point (0, −2) is rotated 180° about the origin. What are the new coordinates?
  14. The point (5, 4) is reflected over the x-axis. What are the new coordinates?
  15. The point (−9, 7) is rotated 270° counterclockwise about the origin. What are the new coordinates?
  16. The point (−1, −2) is reflected over the x-axis. What are the new coordinates?
  17. The point (4, 9) is rotated 90° counterclockwise about the origin, then rotated 90° counterclockwise about the origin. What are the new coordinates?
  18. The point (6, −5) is reflected over the x-axis, then rotated 180° about the origin. What are the new coordinates?
  19. The point (−6, −2) is reflected over the y-axis, then translated by (−6, 7). What are the new coordinates?
  20. The point (1, 1) is reflected over the y-axis, then reflected over the x-axis. What are the new coordinates?
More free practice: fieldbooklearning.com/au/practice/year-10/translations-reflections-and-rotations-of-a-point/

Answer key: Transform points by translating, reflecting and rotating

  1. 1, -5
  2. 13, -7
  3. 3, 0
  4. -3, -16
  5. 7, 4
  6. -4, 5
  7. 4, -2
  8. 9, 8
  9. 0, -4
  10. 9, 6
  11. -1, -8
  12. 8, 7
  13. 0, 2
  14. 5, -4
  15. 7, 9
  16. -1, 2
  17. -4, -9
  18. -6, -5
  19. 0, 5
  20. -1, -1