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Transformations on the Cartesian Plane (Grade 7)

Free printable Grade 7 worksheet on translating, reflecting and rotating points using coordinates.

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Grade 7 · Math worksheet
Name
Date
Math

Space: Transformations on the Cartesian Plane

Translate, reflect or rotate the given point and find its new coordinates.

  1. 1.
    Translate the point (7, 8) by (2, 1). Find the new coordinates.
  2. 2.
    Translate the point (-7, -2) by (5, 5). Find the new coordinates.
  3. 3.
    Translate the point (-3, 3) by (2, 3). Find the new coordinates.
  4. 4.
    Translate the point (-1, -6) by (0, 3). Find the new coordinates.
  5. 5.
    Reflect the point (-1, 0) across the x-axis. Find the new coordinates.
  6. 6.
    Reflect the point (-7, -6) across the y-axis. Find the new coordinates.
  7. 7.
    Reflect the point (-3, -7) across the y-axis. Find the new coordinates.
  8. 8.
    Reflect the point (3, 4) across the x-axis. Find the new coordinates.
  9. 9.
    Rotate the point (1, -1) 180 degrees anticlockwise about the origin. Find the new coordinates.
  10. 10.
    Rotate the point (-6, -3) 90 degrees anticlockwise about the origin. Find the new coordinates.
  11. 11.
    Rotate the point (-2, 6) 90 degrees anticlockwise about the origin. Find the new coordinates.
  12. 12.
    Rotate the point (6, -2) 90 degrees anticlockwise about the origin. Find the new coordinates.
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