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4024/12 Oct/Nov 2022, Question 4: Lines of Symmetry

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Using six 3 by 3 shaded tiles A to F, choose which pair placed side by side gives a rectangle with the stated symmetry.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Identify the two tiles that, placed side by side, form a rectangle with exactly one line of symmetry.

  1. 1C has top-left and bottom-right shaded; D has top-right and bottom-left shaded
  2. 2D is the mirror image of C in a vertical line
  3. 3So C and D side by side have one line of symmetry (the vertical line between them)
  4. 4C and D

AnswerC and D

Part (b) · 1 mark

Identify the two tiles that, placed side by side, form a rectangle with rotational symmetry of order 2.

  1. 1A has top-left and bottom-middle shaded; E has top-middle and bottom-right shaded
  2. 2Rotating A through 180° gives E
  3. 3So A and E side by side have rotational symmetry of order 2
  4. 4A and E

AnswerA and E

Stuck on a step? Read the free lesson: Lines of Symmetry

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Also searched as: 4024/12/O/N/22 · 4024_w22_qp_12 · 4024 w22 12 · question 4.
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