Lesson G8

G8 Combinations of rotations, reflections and translations Quiz: AQA Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson G8, Combinations of rotations, reflections and translations: 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. (H) What single transformation do two reflections in parallel mirror lines produce?

    • A reflection
    • A translation
    • A rotation
    • An enlargement

  2. Two reflections in lines intersecting at angle θ are equivalent to what single transformation?

    • Enlargement factor θ
    • Translation by 2θ
    • Rotation through 2θ
    • Rotation through θ

  3. (H) What single transformation is a translation followed by another translation?

    • A rotation
    • A reflection
    • A single translation
    • A glide reflection

  4. Which properties remain invariant under any combination of rotations, reflections, and translations?

    • Position and orientation
    • Only position
    • Only orientation
    • Lengths and angles

  5. What is preserved when a shape undergoes a reflection followed by a rotation?

    • Only position
    • Shape and size
    • Position and orientation
    • Only orientation

  6. (H) A column vector (3, −2) is applied to the point (1, 4). What is the image?

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

  7. (H) A column vector (−5, 1) translates the point (2, 2). What is its image?

    • (7, 1)
    • (−7, 3)
    • (−3, 1)
    • (−3, 3)

  8. A reflection in the x-axis followed by a reflection in the y-axis is equivalent to what single transformation?

    • 90° rotation
    • Translation
    • Reflection in y = x
    • 180° rotation

  9. (H) Two translations, by (2, 3) and then by (−1, 4), are equivalent to which single translation?

    • (1, −7)
    • (1, 7)
    • (3, −1)
    • (−1, 1)

  10. (H) A point (2, 0) is rotated 90 degrees anticlockwise about the origin and then translated by (1, 0). What is the image?

    • (1, −2)
    • (−1, 2)
    • (2, 1)
    • (1, 2)

  11. A glide reflection consists of a reflection followed by which transformation parallel to the mirror line?

    • Translation
    • Enlargement
    • Rotation
    • Stretch

  12. Which features remain unchanged under a reflection?

    • Only orientation
    • Orientation and position
    • Only position
    • Lengths and angles

  13. (H) Triangle reflected in the line x = 2. The point (5, 1) maps to where?

    • (−1, 1)
    • (9, 1)
    • (−1, −1)
    • (5, −1)

  14. (H) The point (3, 4) is reflected in the line y = x and then translated by (2, 0). What is the image?

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

  15. What is the result of rotating a shape by 360 degrees about any point?

    • Reflected shape
    • Unchanged shape
    • Inverted shape
    • Translated shape

  16. Under a translation by a vector, what is true about the movement of every point?

    • Equal displacement
    • Opposite directions
    • Rotated movement
    • Different distances

  17. (H) The point (1, 1) is reflected in the x-axis and then translated by (0, 3). What is the image?

    • (1, −4)
    • (−1, 4)
    • (1, 2)
    • (1, 4)

  18. (H) What is the order of rotational symmetry of a regular hexagon?

    • 2
    • 3
    • 12
    • 6

  19. (H) A point (3, 0) is rotated 90 degrees anticlockwise and then reflected in the x-axis. What is the image?

    • (0, −3)
    • (−3, 0)
    • (3, 0)
    • (0, 3)

  20. Which transformation applied to a shape results in an image that is NOT congruent?

    • Translation
    • Reflection
    • Rotation
    • Enlargement

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