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Celeste International School

Grade 6 · Worksheet

Position and transformation

Translating 2D shapes

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    (2, 8) is translated 5 squares right and 3 squares up. What are the coordinates of the image?

    1. A(7, 11)
    2. B(5, 13)
    3. C(-3, 5)
  2. 2.

    A point has y-coordinate 7. It is translated 2 squares down. What is the new y-coordinate?

  3. 3.

    (3, 1) is translated 4 right and 5 up to give the image. What is the image's x-coordinate?

  4. 4.

    A point moved from (3, 1) to (4, 2). Describe the translation.

    1. A1 right and 1 up
    2. B1 left and 1 down
  5. 5.

    A triangle is translated 4 right and 3 up. Match each vertex to its image.

    Write the letter of the matching item in each box:

    • ?(3, 5)
    • ?(4, 7)
    • ?(6, 5)
    • A(7, 8)
    • B(8, 10)
    • C(10, 8)
  6. 6.

    (0, 7) is translated 2 squares right and 1 squares up. What are the coordinates of the image?

    1. A(1, 9)
    2. B(2, 8)
    3. C(-2, 6)
  7. 7.

    A point has x-coordinate 9. It is translated 3 squares right. What is the new x-coordinate?

  8. 8.

    A point moved from (3, 0) to (7, 2). Describe the translation.

    1. A4 left and 2 down
    2. B4 right and 2 up
    3. C2 right and 4 up
  9. 9.

    (2, 7) is translated 3 right and 1 up, then 3 left and 1 down. What is the final x-coordinate?

  10. 10.

    (7, 2) is translated 5 squares left and 2 squares down. What are the coordinates of the image?

    1. A(12, 4)
    2. B(5, -3)
    3. C(2, 0)
  11. 11.

    (2, 1) is translated 1 right and 3 up to give the image. What is the image's x-coordinate?

  12. 12.

    A point moved from (3, 9) to (2, 8). Describe the translation.

    1. A1 right and 1 up
    2. B1 left and 1 down
  13. 13.

    (5, 2) is translated 2 squares right and 6 squares up. What are the coordinates of the image?

    1. A(7, 8)
    2. B(11, 4)
    3. C(3, -4)
  14. 14.

    A point has y-coordinate 10. It is translated 2 squares down. What is the new y-coordinate?

  15. 15.

    A point moved from (0, 5) to (4, 7). Describe the translation.

    1. A4 right and 2 up
    2. B4 left and 2 down
    3. C2 right and 4 up
  16. 16.

    (3, 1) is translated 3 squares right and 4 squares up. What are the coordinates of the image?

    1. A(7, 4)
    2. B(6, 5)
    3. C(0, -3)
  17. 17.

    A point has x-coordinate 6. It is translated 7 squares right. What is the new x-coordinate?

  18. 18.

    A point moved from (0, 4) to (1, 10). Describe the translation.

    1. A1 left and 6 down
    2. B1 right and 6 up
    3. C6 right and 1 up
  19. 19.

    A triangle is translated 3 right and 2 up. Match each vertex to its image.

    Write the letter of the matching item in each box:

    • ?(5, 2)
    • ?(6, 4)
    • ?(8, 2)
    • A(8, 4)
    • B(9, 6)
    • C(11, 4)
  20. 20.

    (5, 7) is translated 2 squares left and 4 squares down. What are the coordinates of the image?

    1. A(7, 11)
    2. B(1, 5)
    3. C(3, 3)
Celeste International School

Answer key

Position and transformation — Translating 2D shapes

  1. 1.A. (7, 11)
  2. 2.5
  3. 3.7
  4. 4.A. 1 right and 1 up
  5. 5.(3, 5) → (7, 8); (4, 7) → (8, 10); (6, 5) → (10, 8)
  6. 6.B. (2, 8)
  7. 7.12
  8. 8.B. 4 right and 2 up
  9. 9.2
  10. 10.C. (2, 0)
  11. 11.3
  12. 12.B. 1 left and 1 down
  13. 13.A. (7, 8)
  14. 14.8
  15. 15.A. 4 right and 2 up
  16. 16.B. (6, 5)
  17. 17.13
  18. 18.B. 1 right and 6 up
  19. 19.(5, 2) → (8, 4); (6, 4) → (9, 6); (8, 2) → (11, 4)
  20. 20.C. (3, 3)