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Translate then reflect or rotate a point

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Do the first step, then apply the second step to the new point.

  1. Point (−4, 3) is translated 5 right and 4 up, and then a rotation 90° counterclockwise about the origin is applied. What are the coordinates of the final image?
  2. Point (1, 4) is translated 3 left and 5 down, and then a rotation 180° about the origin is applied. What are the coordinates of the final image?
  3. Point (4, 1) is translated 2 right and 4 down, and then a rotation 90° counterclockwise about the origin is applied. What are the coordinates of the final image?
  4. Point (−2, 1) is translated 5 right and 4 up, and then a rotation 180° about the origin is applied. What are the coordinates of the final image?
  5. Point (3, −3) is translated 5 right and 4 down, and then a rotation 90° counterclockwise about the origin is applied. What are the coordinates of the final image?
  6. Point (−5, −2) is translated 2 left and 5 down, and then a reflection in the x-axis is applied. What are the coordinates of the final image?
  7. Point (−5, 4) is translated 1 left and 4 down, and then a reflection in the line y = x is applied. What are the coordinates of the final image?
  8. Point (1, −4) is translated 3 right and 5 up, and then a rotation 180° about the origin is applied. What are the coordinates of the final image?
  9. Point (8, −4) is translated 1 right and 7 up, and then a rotation 180° about the origin is applied. What are the coordinates of the final image?
  10. Point (1, −1) is translated 6 left and 3 up, and then a reflection in the y-axis is applied. What are the coordinates of the final image?
  11. Point (6, 7) is translated 4 left and 6 up, and then a rotation 90° counterclockwise about the origin is applied. What are the coordinates of the final image?
  12. Point (8, −6) is translated 4 left and 3 down, and then a reflection in the y-axis is applied. What are the coordinates of the final image?
  13. Point (−3, −1) is translated 7 left and 4 up, and then a rotation 90° counterclockwise about the origin is applied. What are the coordinates of the final image?
  14. Point (−5, 2) is translated 2 left and 5 down, and then a rotation 90° clockwise about the origin is applied. What are the coordinates of the final image?
  15. Point (−8, −2) is translated 3 right and 3 up, and then a reflection in the x-axis is applied. What are the coordinates of the final image?
  16. Point (−5, 10) is translated 7 left and 3 up, and then a rotation 180° about the origin is applied. What are the coordinates of the final image?
  17. Point (−3, 10) is translated 9 right and 4 up, and then a rotation 90° clockwise about the origin is applied. What are the coordinates of the final image?
  18. Point (2, −3) is translated 7 left and 1 down, and then a rotation 90° counterclockwise about the origin is applied. What are the coordinates of the final image?
  19. Point (−5, 9) is translated 2 left and 8 down, and then a rotation 90° counterclockwise about the origin is applied. What are the coordinates of the final image?
  20. Point (1, 2) is translated 10 left and 2 down, and then a reflection in the line y = x is applied. What are the coordinates of the final image?
More free practice: fieldbooklearning.com/au/practice/year-8/translate-then-reflect-or-rotate-a-point/

Answer key: Translate then reflect or rotate a point

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