Skills · Geometry · Rigid Motions

Rotations

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. point A at (−3, −5), the origin marked as the centerA−6−6−4−4−2−2224466xy
    Rotate A 90° counterclockwise about the origin. Find A′.
  2. point A at (4, 2), the origin marked as the centerA−6−6−4−4−2−2224466xy
    Rotate A 180° about the origin. Find A′.
  3. point A at (−2, 1), the origin marked as the centerA−6−6−4−4−2−2224466xy
    Rotate A 90° counterclockwise about the origin. Find A′.
  4. point A at (−1, 4), the origin marked as the centerA−6−6−4−4−2−222466xy
    Rotate A 180° about the origin. Find A′.
  5. point A at (3, 2), the origin marked as the centerA−6−6−4−4−2−2224466xy
    Rotate A 90° counterclockwise about the origin. Find A′.
  6. point A at (1, −5), the origin marked as the centerA−6−6−4−4−2−2224466xy
    Rotate A 180° about the origin. Find A′.
  7. point A at (1, −4), the origin marked as the centerA−6−6−4−4−2−2224466xy
    Rotate A 90° counterclockwise about the origin. Find A′.
  8. point A at (2, 5), the origin marked as the centerA−6−6−4−4−2−2224466xy
    Rotate A 180° about the origin. Find A′.

Answer key

  1. (5, −3)
  2. (−4, −2)
  3. (−1, −2)
  4. (1, −4)
  5. (−2, 3)
  6. (−1, 5)
  7. (4, 1)
  8. (−2, −5)

Sample Sheet · Level 3

  1. Rotate A(1, −4) 180° about the origin. Find A′.
  2. Rotate A(−5, −1) 90° clockwise about the origin. Find A′.
  3. triangle ABC with A at (−3, 1), B at (−5, 2), C at (−4, 5), the origin marked as the centerABC−6−6−4−4−2−2224466xy
    Rotate △ABC 90° clockwise about the origin. Find A′.
  4. Rotate A(−1, 4) 270° about the origin. Find A′.
  5. Rotate A(1, 6) 90° about the origin. Find A′.
  6. Is A′(6, −4) the rotation of A(−4, 6) about the origin by 90° counterclockwise, 180°, 270° counterclockwise, or none of them?
  7. Rotate A(−3, −2) 90° about the origin. Find A′.
  8. Is A′(−3, −1) the rotation of A(3, 1) about the origin by 90° counterclockwise, 180°, 270° counterclockwise, or none of them?

Answer key

  1. (−1, 4)
  2. (−1, 5)
  3. (1, 3)
  4. (4, 1)
  5. (−6, 1)
  6. none
  7. (2, −3)
  8. 180°

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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