Lesson G8

G8 describe the changes and invariance achieved by combinations of rotations, reflections... Quiz: Pearson Edexcel Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson G8, describe the changes and invariance achieved by combinations of rotations, reflections...: 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. Which group of transformations always preserves distances and angles?

    • Translations, enlargements, reflections
    • Rotations, reflections, translations
    • Enlargements, rotations, translations
    • Reflections, stretches, rotations

  2. Two reflections in parallel mirror lines produce:

    • a reflection
    • an enlargement
    • a translation
    • a rotation

  3. Two successive reflections in lines meeting at an angle theta produce what transformation?

    • Rotation by theta
    • Translation by theta
    • Rotation by 2 theta
    • Reflection by 2 theta

  4. Under a reflection, the orientation of a shape:

    • turns through 180 degrees
    • reverses
    • stays the same
    • doubles

  5. Which property is invariant under rotations, reflections and translations?

    • position
    • coordinates
    • orientation
    • area

  6. A 180 degree rotation about the origin followed by a reflection in the x-axis is equivalent to what?

    • Reflection in y-axis
    • Reflection in x-axis
    • Rotation by 90 degrees
    • Identity transformation

  7. What does rotational symmetry of order n mean for a 2D shape?

    • Maps onto itself n times
    • Has n vertices
    • Rotates n degrees
    • Has n lines of symmetry

  8. What does a translation by vector (a, b) apply to every point?

    • enlargement
    • shift
    • reflection
    • rotation

  9. Reflect the point (2, 3) in the x-axis, then translate by (1, 0). Where does it end?

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

  10. A triangle is reflected in y = 1 then y = 3. What is the single equivalent transformation?

    • translation
    • enlargement
    • reflection
    • rotation

  11. Point (4, 1) is rotated 90° anticlockwise about the origin, then reflected in the y-axis. What is the result?

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

  12. A shape has rotational symmetry of order 3. What is the smallest angle of rotation that maps it onto itself?

    • 120°
    • 180°
    • 90°
    • 60°

  13. Which quantity is always preserved under any rotation and translation combination?

    • shape
    • coordinates
    • position
    • bearing

  14. Two mirror lines meet at 35°. What rotation angle do two reflections in them produce?

    • 17.5°
    • 70°
    • 35°
    • 145°

  15. A 180° rotation about the origin maps (1, 4) to:

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

  16. A 90° clockwise rotation about the origin is followed by a translation (3, −1). Where does (2, 5) go?

    • (2, 5)
    • (8, 3)
    • (8, −3)
    • (−2, 8)

  17. Which of these transformations is NOT an isometry?

    • enlargement
    • translation
    • rotation
    • reflection

  18. Does a glide reflection preserve or reverse shape orientation?

    • reverses
    • preserves
    • rotates
    • translates

  19. A 90° clockwise rotation about the origin is applied twice. What is the single equivalent transformation?

    • 180° rotation
    • 360° rotation
    • 90° rotation
    • 270° rotation

  20. Applying a reflection in both coordinate axes sends (x, y) to which equivalent transformation?

    • 90° rotation
    • 180° rotation
    • reflection in y = x
    • translation

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