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Celeste International School

Grade 6 · Worksheet

Position and transformation

The distance between two points

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

    What is the distance between (-6, -4) and (9, -4)?

    units
  2. 2.

    (5, 3) and (5, 5) lie on which kind of line?

    1. Aa vertical line
    2. Ba horizontal line
    3. Ca diagonal line
  3. 3.

    Points (5, -5) and (5, 2) are given. How far apart are they?

    units
  4. 4.

    Two points have the same y-coordinate. Which coordinates do you subtract to find the distance?

    1. Athe x-coordinates
    2. Bthe y-coordinates
    3. Cboth of them
  5. 5.

    Put these points in order of how far each is from (0, 3), closest first.

    Write the order (closest first) in the boxes:

    • ?(7, 3)
    • ?(1, 3)
    • ?(5, 3)
  6. 6.

    What is the distance between (-3, 2) and (7, 2)?

    units
  7. 7.

    (1, 8) and (8, 8) lie on which kind of line?

    1. Aa vertical line
    2. Ba horizontal line
    3. Ca diagonal line
  8. 8.

    Points (4, -3) and (4, 1) are given. How far apart are they?

    units
  9. 9.

    What is the distance between (8, 2) and (8, 2)?

    units
  10. 10.

    A point (-1, 4) is moved straight up to (-1, 8). How far did it move?

    units
  11. 11.

    (4, 2) and (10, 2) lie on which kind of line?

    1. Aa vertical line
    2. Ba diagonal line
    3. Ca horizontal line
  12. 12.

    Points (-8, -1) and (5, -1) are given. How far apart are they?

    units
  13. 13.

    The distance between (0, 8) and (9, 8) is 9 units.

    True False
  14. 14.

    A point (-2, 2) is moved straight up to (-2, 7). How far did it move?

    units
  15. 15.

    What is the distance between (8, 1) and (8, 7)?

    units
  16. 16.

    Points (-6, 2) and (3, 2) are given. How far apart are they?

    units
  17. 17.

    (4, 4) and another point on the same horizontal line are 3 units apart. What is the larger x-coordinate?

  18. 18.

    A point (5, 2) is moved straight up to (5, 9). How far did it move?

    units
  19. 19.

    What is the distance between (8, 1) and (8, 5)?

    units
  20. 20.

    Points (-5, 1) and (1, 1) are given. How far apart are they?

    units
Celeste International School

Answer key

Position and transformation — The distance between two points

  1. 1.15 units
  2. 2.A. a vertical line
  3. 3.7 units
  4. 4.A. the x-coordinates
  5. 5.(1, 3), (5, 3), (7, 3)
  6. 6.10 units
  7. 7.B. a horizontal line
  8. 8.4 units
  9. 9.0 units
  10. 10.4 units
  11. 11.C. a horizontal line
  12. 12.13 units
  13. 13.False
  14. 14.5 units
  15. 15.6 units
  16. 16.9 units
  17. 17.7
  18. 18.7 units
  19. 19.4 units
  20. 20.6 units