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. (H) What do two reflections in intersecting mirror lines at an angle θ produce?

    • A rotation about the intersection point through θ
    • A reflection in a third line bisecting the angle θ
    • A rotation about the intersection point through 2θ
    • A translation through a distance of twice the angle θ

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

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

  4. (H) Which properties are invariant under any combination of rotations, reflections and translations?

    • Position on the page
    • Position of the centre of rotation
    • Orientation of the shape
    • Lengths and angles

  5. (H) What is the effect of a reflection followed by a rotation on a shape?

    • Only the position changes, and the shape stays exactly the same
    • Shape and size are unchanged, but position and orientation may change
    • The shape changes size, but the position stays the same
    • The area is doubled, but the shape and orientation stay unchanged

  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. (H) A reflection in the x-axis followed by a reflection in the y-axis is equivalent to which single transformation?

    • A reflection in the line y = -x, flipping the axes
    • A rotation of 90 degrees clockwise about the origin
    • A reflection in the line y = 0, which is the x-axis
    • A rotation of 180 degrees about the origin

  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. (H) Which combination of transformations gives a glide reflection?

    • A reflection followed by a translation parallel to the mirror line
    • Two translations in opposite directions, each by the same distance
    • Two rotations about the same point with different angles
    • A reflection followed by a translation perpendicular to the mirror line

  12. (H) Which features does a reflection leave unchanged?

    • The positions of all points
    • The orientation of letters
    • The clockwise order of vertices
    • Lengths, angles and areas

  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. (H) A shape undergoes a 360 degree rotation about any point. What is the result?

    • A rotation of 90 degrees
    • The original shape, unchanged
    • A reflection in the origin
    • A translation of 180 degrees

  16. (H) A translation by a column vector moves each point of a shape. What is true about the displacement?

    • Every point moves the same distance in the same direction
    • Points rotate about a centre by the same angle each time
    • Points double their distances from the origin in a fixed direction
    • Points move by different distances, depending on their position

  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. (H) Which combination of transformations always produces a congruent image?

    • An enlargement followed by a translation of the same shape
    • Two enlargements in a row with the same centre
    • Any combination including an enlargement by a scale factor
    • Any combination of reflections, rotations and translations

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