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Translations, reflections and rotations

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

Name

Date

Score/ 16

  1. Question 1

    Translate the point (4, −2) by 5 right and 5 up. Where does it end up? Type it like (2, −1).

    xy−12−6612−12−66120P

    Answer

  2. Question 2

    Rotate (−6, −6) by 180° about the origin. Type the image like (2, −1).

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

    Answer

  3. Question 3

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

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

    Answer

  4. Question 4

    Translate the point (−7, 3) by 3 right and 1 down. Where does it end up? Type it like (2, −1).

    xy−12−6612−12−66120P

    Answer

  5. Question 5

    Rotate (3, 8) by 90° clockwise about the origin. Type the image like (2, −1).

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

    Answer

  6. Question 6

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

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

    Answer

  7. Question 7

    Translate the point (−6, −5) by 2 right and 4 down. Where does it end up? Type it like (2, −1).

    xy−12−6612−12−66120P

    Answer

  8. Question 8

    Rotate (6, −4) by 90° clockwise about the origin. Type the image like (2, −1).

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

    Answer

  9. Question 9

    Reflect (−7, 8) in the y-axis. Type the image like (2, −1).

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

    Answer

  10. Question 10

    Translate the point (7, −1) by 1 right and 3 down. Where does it end up? Type it like (2, −1).

    xy−12−6612−12−66120P

    Answer

  11. Question 11

    Rotate (7, 6) by 90° anticlockwise (counterclockwise) about the origin. Type the image like (2, −1).

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

    Answer

  12. Question 12

    Reflect (5, −3) in the line y = x. Type the image like (2, −1).

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

    Answer

  13. Question 13

    Translate the point (1, −1) by 4 left and 2 down. Where does it end up? Type it like (2, −1).

    xy−12−6612−12−66120P

    Answer

  14. Question 14

    Rotate (4, 3) by 180° about the origin. Type the image like (2, −1).

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

    Answer

  15. Question 15

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

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

    Answer

  16. Question 16

    Translate the point (−2, 4) by 1 left and 1 up. Where does it end up? Type it like (2, −1).

    xy−12−6612−12−66120P

    Answer

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Answer key: Translations, reflections and rotations

  1. 1. (9, 3)

  2. 2. (6, 6)

  3. 3. (−2, −3)

  4. 4. (−4, 2)

  5. 5. (8, −3)

  6. 6. (−7, 7)

  7. 7. (−4, −9)

  8. 8. (−4, −6)

  9. 9. (7, 8)

  10. 10. (8, −4)

  11. 11. (−6, 7)

  12. 12. (−3, 5)

  13. 13. (−3, −3)

  14. 14. (−4, −3)

  15. 15. (1, 3)

  16. 16. (−3, 5)