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Identify transformations from coordinate rules

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

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  1. Question 1

    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

  2. Question 2

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

    • A. Reflection in the x-axis
    • B. Rotation of 90° anticlockwise about the origin
    • C. Rotation of 180° about the origin
    • D. Dilation with scale factor 4

  3. Question 3

    After a reflection, is the image congruent to the original (same size and shape)?

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

  4. Question 4

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

    • A. Dilation with scale factor 2
    • B. Reflection in the y-axis
    • C. Rotation of 90° anticlockwise about the origin
    • D. Rotation of 180° about the origin

  5. Question 5

    After a rotation, is the image congruent to the original (same size and shape)?

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

  6. Question 6

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

    • A. Rotation of 90° anticlockwise about the origin
    • B. Reflection in the x-axis
    • C. Rotation of 180° about the origin
    • D. Translation

  7. Question 7

    After a translation, is the image congruent to the original (same size and shape)?

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

  8. Question 8

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

    • A. Rotation of 180° about the origin
    • B. Dilation with scale factor 2
    • C. Reflection in the x-axis
    • D. Rotation of 90° anticlockwise about the origin

  9. Question 9

    After a rotation, is the image congruent to the original (same size and shape)?

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

  10. Question 10

    Which transformation is described by (x, y) → (x + 1, y)?

    • A. Reflection in the y-axis
    • B. Rotation of 180° about the origin
    • C. Rotation of 90° anticlockwise about the origin
    • D. Translation

  11. Question 11

    After a translation, is the image congruent to the original (same size and shape)?

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

  12. Question 12

    Which transformation is described by (x, y) → (2x, 2y)?

    • A. Reflection in the x-axis
    • B. Rotation of 180° about the origin
    • C. Reflection in the y-axis
    • D. Dilation with scale factor 2

  13. Question 13

    After a translation, is the image congruent to the original (same size and shape)?

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

  14. Question 14

    Which transformation is described by (x, y) → (3x, 3y)?

    • A. Reflection in the x-axis
    • B. Translation
    • C. Dilation with scale factor 3
    • D. Rotation of 90° anticlockwise about the origin

  15. Question 15

    After a rotation, is the image congruent to the original (same size and shape)?

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

  16. Question 16

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

    • A. Reflection in the x-axis
    • B. Dilation with scale factor 3
    • C. Translation
    • D. Reflection in the y-axis

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Answer key: Identify transformations from coordinate rules

  1. 1. B. No, only similar

  2. 2. C. Rotation of 180° about the origin

  3. 3. A. Yes, congruent

  4. 4. B. Reflection in the y-axis

  5. 5. A. Yes, congruent

  6. 6. B. Reflection in the x-axis

  7. 7. A. Yes, congruent

  8. 8. D. Rotation of 90° anticlockwise about the origin

  9. 9. A. Yes, congruent

  10. 10. D. Translation

  11. 11. A. Yes, congruent

  12. 12. D. Dilation with scale factor 2

  13. 13. A. Yes, congruent

  14. 14. C. Dilation with scale factor 3

  15. 15. A. Yes, congruent

  16. 16. A. Reflection in the x-axis