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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

    Which transformation is described by (x, y) → (4x, 4y)?

    • A. Reflection in the y-axis
    • B. Translation
    • C. Dilation with scale factor 4
    • D. Rotation of 180° about the origin
  2. Question 2

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

    • A. Yes, congruent
    • B. No, only similar
  3. Question 3

    Which transformation is described by (x, y) → (4x, 4y)?

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

    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
  5. Question 5

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

    • A. Reflection in the y-axis
    • B. Translation
    • C. Rotation of 90° anticlockwise about the origin
    • D. Rotation of 180° about the origin
  6. Question 6

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

    • A. Yes, congruent
    • B. No, only similar
  7. Question 7

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

    • A. Dilation with scale factor 3
    • B. Reflection in the y-axis
    • C. Rotation of 90° anticlockwise about the origin
    • D. Reflection in the x-axis
  8. Question 8

    After a dilation with scale factor 1/2, is the image congruent to the original (same size and shape)?

    • A. Yes, congruent
    • B. No, only similar
  9. Question 9

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

    • A. Rotation of 90° anticlockwise about the origin
    • B. Translation
    • C. Reflection in the x-axis
    • D. Reflection in the y-axis
  10. Question 10

    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
  11. Question 11

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

    • A. Reflection in the y-axis
    • B. Rotation of 90° anticlockwise about the origin
    • C. Reflection in the x-axis
    • D. Dilation with scale factor 4
  12. Question 12

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

    • A. Yes, congruent
    • B. No, only similar
  13. Question 13

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

    • A. Reflection in the x-axis
    • B. Dilation with scale factor 2
    • C. Reflection in the y-axis
    • D. Rotation of 180° about the origin
  14. Question 14

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

    • A. Yes, congruent
    • B. No, only similar
  15. Question 15

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

    • A. Rotation of 180° about the origin
    • B. Reflection in the y-axis
    • C. Rotation of 90° anticlockwise about the origin
    • D. Dilation with scale factor 2
  16. Question 16

    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

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  1. Dilation with scale factor 4
  2. Yes, congruent
  3. Dilation with scale factor 4
  4. No, only similar
  5. Rotation of 180° about the origin
  6. Yes, congruent
  7. Rotation of 90° anticlockwise about the origin
  8. No, only similar
  9. Reflection in the y-axis
  10. No, only similar
  11. Rotation of 90° anticlockwise about the origin
  12. Yes, congruent
  13. Reflection in the x-axis
  14. Yes, congruent
  15. Rotation of 90° anticlockwise about the origin
  16. No, only similar