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Reflect and rotate points on the coordinate plane

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.1, 8.G.A.3 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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Date

Score/ 16

  1. Question 1

    Reflect (−6, 3) in the x-axis. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100P

    Answer

  2. Question 2

    Rotate (7, −6) 90° clockwise about the origin. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100PO

    Answer

  3. Question 3

    P(4, 6) is rotated about the origin to P′(6, −4). Which rotation was it?

    xy−10−8−6−4−2246810−10−8−6−4−22468100PP′
    • A. 90° anticlockwise (counterclockwise)
    • B. 90° clockwise
    • C. 180°

  4. Question 4

    Reflect (−1, −6) in the y-axis. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100P

    Answer

  5. Question 5

    Rotate (−1, −4) 90° anticlockwise (counterclockwise) about the origin. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100PO

    Answer

  6. Question 6

    P(1, 3) is rotated about the origin to P′(3, −1). Which rotation was it?

    xy−10−8−6−4−2246810−10−8−6−4−22468100PP′
    • A. 90° anticlockwise (counterclockwise)
    • B. 90° clockwise
    • C. 180°

  7. Question 7

    Reflect (−1, 1) in the line y = x. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100y = xP

    Answer

  8. Question 8

    Rotate (−5, 7) 90° anticlockwise (counterclockwise) about the origin. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100PO

    Answer

  9. Question 9

    P(5, 1) is rotated about the origin to P′(1, −5). Which rotation was it?

    xy−10−8−6−4−2246810−10−8−6−4−22468100PP′
    • A. 90° anticlockwise (counterclockwise)
    • B. 90° clockwise
    • C. 180°

  10. Question 10

    Reflect (−3, 5) in the y-axis. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100P

    Answer

  11. Question 11

    Rotate (5, 3) 90° clockwise about the origin. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100PO

    Answer

  12. Question 12

    P(7, 6) is rotated about the origin to P′(6, −7). Which rotation was it?

    xy−10−8−6−4−2246810−10−8−6−4−22468100PP′
    • A. 90° anticlockwise (counterclockwise)
    • B. 90° clockwise
    • C. 180°

  13. Question 13

    Reflect (−1, −7) in the y-axis. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100P

    Answer

  14. Question 14

    Rotate (−1, −3) 90° clockwise about the origin. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100PO

    Answer

  15. Question 15

    P(1, 3) is rotated about the origin to P′(−1, −3). Which rotation was it?

    xy−10−8−6−4−2246810−10−8−6−4−22468100PP′
    • A. 90° anticlockwise (counterclockwise)
    • B. 90° clockwise
    • C. 180°

  16. Question 16

    Reflect (3, 5) in the y-axis. Type the image like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100P

    Answer

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  1. (−6, −3)
  2. (−6, −7)
  3. 90° clockwise
  4. (1, −6)
  5. (4, −1)
  6. 90° clockwise
  7. (1, −1)
  8. (−7, −5)
  9. 90° clockwise
  10. (3, 5)
  11. (3, −5)
  12. 90° clockwise
  13. (1, −7)
  14. (−3, 1)
  15. 180°
  16. (−3, 5)