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Common Core 8.G.A.3 worksheet

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.1, 8.G.A.3, 8.G.A.4 · England: KS3 Geometry, GCSE Foundation Geometry, KS3 Geometry and measures

Name

Date

Score/ 16

  1. Question 1

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

    xy−12−6612−12−66120P

    Answer

  2. Question 2

    Rotate (6, 7) 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

    After a dilation with scale factor 3, is the image congruent to the original (same size and shape)?

    • A. Yes, congruent
    • B. No, only similar

  4. Question 4

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

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

    Answer

  5. Question 5

    Dilate (4, 3) by a scale factor of 4 with centre the origin. Type the image like (2, −3).

    Answer

  6. Question 6

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

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

    Answer

  7. Question 7

    Rotate (7, −4) by 180° about the origin. Type the image like (2, −1).

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

    Answer

  8. Question 8

    Triangle PQR has P(0, 0), Q(3, 0), R(0, 2). It is translated by (−5, −5). Where does Q go?

    Answer

  9. Question 9

    A is (−2, 0) and its image A′ is (0, 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

  10. Question 10

    A 5 by 2 rectangle is dilated by scale factor 2. What is the perimeter of the image?

    Answer

  11. Question 11

    A(4, 8) is dilated about the origin to A′(10, 20). What is the scale factor? Give a fraction or decimal.

    Answer(as a fraction)

  12. Question 12

    P(1, 5) is rotated about the origin to P′(−5, 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°

  13. Question 13

    Which transformation is described by (x, y) → (x, −y)?

    • A. Reflection in the y-axis
    • B. Rotation of 90° anticlockwise about the origin
    • C. Reflection in the x-axis
    • D. Translation

  14. Question 14

    Translate (−3, 3) 2 right and 5 down. Type the image like (2, −3).

    xy−12−6612−12−66120P

    Answer

  15. Question 15

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

    xy−12−6612−12−66120P

    Answer

  16. Question 16

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

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

    Answer

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Answer key: Common Core 8.G.A.3 worksheet

  1. 1. (1, 8)

  2. 2. (−6, −7)

  3. 3. B. No, only similar

  4. 4. (3, −5)

  5. 5. (16, 12)

  6. 6. (5, 1)

  7. 7. (−7, 4)

  8. 8. (−2, −5)

  9. 9. (2, 1)

  10. 10. 28

  11. 11. 5/2

  12. 12. A. 90° anticlockwise (counterclockwise)

  13. 13. C. Reflection in the x-axis

  14. 14. (−1, −2)

  15. 15. (4, 9)

  16. 16. (2, 5)

8.G.A.3 Worksheet: Translations, reflections and rotations | Eurekami