Lesson G7

G7 Congruence and similarity by rotation, reflection, translation and enlargement Quiz: AQA Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson G7, Congruence and similarity by rotation, reflection, translation and enlargement: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. A point (3, 4) is reflected in the x-axis. Where is its image?

    • (4, 3)
    • (3, −4)
    • (−3, −4)
    • (−3, 4)

  2. A point (3, 4) is reflected in the y-axis. Where is its image?

    • (−3, 4)
    • (3, −4)
    • (−3, −4)
    • (−4, 3)

  3. A point (2, 5) is rotated 90 degrees clockwise about the origin. Where is its image?

    • (2, −5)
    • (5, −2)
    • (−5, 2)
    • (−2, −5)

  4. A point (−1, 6) is rotated 180 degrees about the origin. Where is its image?

    • (6, 1)
    • (1, −6)
    • (1, 6)
    • (−1, −6)

  5. A point (1, 3) is translated by the vector (4, −2). Where is its image?

    • (−3, 5)
    • (5, −5)
    • (−3, 1)
    • (5, 1)

  6. A point (2, −1) is enlarged by scale factor 3 with centre the origin. Where is its image?

    • (2, −3)
    • (5, −4)
    • (6, 3)
    • (6, −3)

  7. A point (8, 6) is enlarged by scale factor ½ with centre the origin. Where is its image?

    • (4, 3)
    • (16, 12)
    • (2, 1.5)
    • (8, 3)

  8. Which transformations preserve shape and size?

    • Enlargement only
    • Reflection, rotation and translation
    • Reflection, rotation and enlargement
    • Translation and enlargement only

  9. Which transformation produces a shape that is similar but not congruent to the original?

    • Rotation
    • Enlargement
    • Translation
    • Reflection

  10. A shape is enlarged with scale factor 2. How does its area compare with the original?

    • Twice as large
    • Four times larger
    • Eight times as large
    • Unchanged

  11. Triangle with vertices (1, 1), (2, 1) and (1, 3) maps to vertices (−1, 1), (−2, 1) and (−1, 3). Which transformation is this?

    • Reflection in the x-axis
    • Reflection in the y-axis
    • Rotation 90 degrees about the origin
    • Translation by (−2, 0)

  12. A triangle with vertices (0, 0), (2, 0) and (0, 1) maps to (0, 0), (4, 0) and (0, 2). Which transformation is this?

    • Reflection in the x-axis
    • Translation by (4, 2)
    • Enlargement by scale factor 4, centre (0, 0)
    • Enlargement by scale factor 2, centre (0, 0)

  13. Which description matches congruent shapes?

    • Same shape and same size
    • Same angles only
    • Same shape but different size
    • Same size but different shape

  14. Which statement describes similar shapes?

    • Corresponding angles are equal and corresponding sides are in the same ratio
    • Corresponding angles are equal, and corresponding areas are the same
    • Only one pair of angles is equal, and the sides are all different lengths
    • Corresponding sides are equal, so the shapes are congruent

  15. A point (2, 5) is reflected in the line y = x. Where is its image?

    • (−5, −2)
    • (−2, 5)
    • (5, 2)
    • (2, −5)

  16. (H) A point (3, −4) is enlarged by scale factor −2 with centre the origin. Where is its image?

    • (−6, 8)
    • (−6, −8)
    • (6, −8)
    • (6, 8)

  17. A point (5, 2) is translated to (9, −1). What is the translation vector?

    • (4, −3)
    • (14, 1)
    • (4, 3)
    • (−4, 3)

  18. A shape with area 12 cm² is enlarged by scale factor 3. What is its new area?

    • 108 cm²
    • 36 cm²
    • 324 cm²
    • 4 cm²

  19. A point (4, 0) is rotated 90 degrees anticlockwise about the origin. Where is its image?

    • (−4, 0)
    • (0, 4)
    • (0, −4)
    • (4, 0)

  20. How is the centre of enlargement found when two corresponding points of a shape and image are known?

    • Measure the distance between the shapes and halve the result
    • Draw lines through corresponding points and find where they meet
    • Join the midpoints of the shapes and extend the line past them
    • Find the centroid of the original shape and mark it on the grid

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