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Common Core 8.G.A.1 worksheet

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.1, 8.G.A.3 · England: KS3 Geometry, GCSE Foundation Geometry, Y5 Geometry

Name

Date

Score/ 16

  1. Question 1

    A triangle's corner moves from (4, 2) to (8, 3). Every corner moves the same way. How many units right did the triangle move?

    xy12345678910123456789100AA′

    Answer

  2. Question 2

    Rotate (−4, −5) 180° 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(2, 7) is rotated about the origin to P′(−2, −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°

  4. Question 4

    A is (3, −4) and its image A′ is (−1, −1). The translation moves every point by (a, b). What are a and b? Type them like (2, −3).

    xy−12−6612−12−66120AA′

    Answer

  5. Question 5

    Rotate (−6, 1) 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

    Translate (−3, 6) 3 right and 3 up. Type the image like (2, −3).

    xy−12−6612−12−66120P

    Answer

  7. Question 7

    A point is reflected in the line x = 4 and its image is at (7, 1). Where was the original point?

    xy12345678910123456789100P′

    Answer

  8. Question 8

    Reflect the point (3, 9) in the horizontal line y = 6. Where is its image?

    xy12345678910123456789100P

    Answer

  9. Question 9

    Translate the point (5, 6) by 3 right and 2 down. Where does it end up? Type it like (2, −1).

    xy−12−6612−12−66120P

    Answer

  10. Question 10

    Reflect (−6, 5) in the line y = x. Type the image like (2, −3).

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

    Answer

  11. Question 11

    Triangle PQR has P(0, 0), Q(4, 0), R(0, 4). It is translated by (−3, 3). Where does Q go?

    Answer

  12. Question 12

    Point A (6, 1) is translated 3 left and 3 up. What are its new coordinates?

    xy12345678910123456789100A

    Answer

  13. Question 13

    Reflect (−4, 1) in the line y = x. Type the image like (2, −1).

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

    Answer

  14. Question 14

    A triangle's corner moves from (4, 2) to (7, 7). Every corner moves the same way. How many units right did the triangle move?

    xy12345678910123456789100AA′

    Answer

  15. Question 15

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

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

    Answer

  16. Question 16

    P(7, 4) is rotated about the origin to P′(4, −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°

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Answer key: Common Core 8.G.A.1 worksheet

  1. 1. 4

  2. 2. (4, 5)

  3. 3. C. 180°

  4. 4. (−4, 3)

  5. 5. (1, 6)

  6. 6. (0, 9)

  7. 7. (1, 1)

  8. 8. (3, 3)

  9. 9. (8, 4)

  10. 10. (5, −6)

  11. 11. (1, 3)

  12. 12. (3, 4)

  13. 13. (1, −4)

  14. 14. 3

  15. 15. (−3, −7)

  16. 16. B. 90° clockwise

8.G.A.1 Worksheet: Translations, reflections and rotations | Eurekami