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SHS Core Mathematics · Year 2

Rigid Motion practice questions

Translation, reflection, rotation and enlargement of shapes on the Cartesian plane, and their properties and real-world applications.

27 questions in this topic: 13 recall, 9 applying skills and concepts and 5 strategic thinking. Every one carries a written explanation.

Sample questions

5 of 27 questions in this topic. Sign up to answer them and see the explanations.

  1. Question 1Recall

    A translation vector, such as (5, −1), tells you

    • ahow far and in which direction every point of the shape moves
    • bthe centre point the shape rotates around
    • cthe line used as a mirror for reflection
    • dthe factor by which the shape is scaled
  2. Question 2Recall

    A rigid motion is a transformation in which

    • athe size and shape of a figure remain unchanged, only its position changes
    • bthe figure's size changes but its shape stays the same
    • cboth the size and shape of the figure change
    • dthe figure is always reduced to a single point
  3. Question 3Strategic thinking

    Reflecting the point A(1, 3) across the line y = −x, using (x, y) → (−y, −x), gives the image

    • a(−3, −1)
    • b(3, 1)
    • c(−1, −3)
    • d(1, 3)
  4. Question 4Skills & concepts

    Reflecting a point across the line y = −x follows the rule

    • a(x, y) → (−y, −x)
    • b(x, y) → (y, x)
    • c(x, y) → (−x, −y)
    • d(x, y) → (x, y)
  5. Question 5Strategic thinking

    A shape is enlarged twice from the same centre O, first with scale factor 2, then with scale factor 4, relative to the same original distance OA. This means

    • aOA′ = 2 × OA and OA′′ = 4 × OA, so the second image is twice as far from O as the first image
    • bboth images are the same distance from O
    • cOA′ = 4 × OA and OA′′ = 2 × OA
    • dthe scale factor has no effect on distance from the centre

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