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0580/23 May/Jun 2025, Question 3: Planes of Symmetry in 3D Shapes

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 2 marks

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The question, in short

For a square-based pyramid with apex E above centre M, state its planes of symmetry and identify the two points on its axis of rotational symmetry.

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

Part (a) · 1 mark

State how many planes of symmetry the pyramid has.

  1. 1Planes through E and M: 2 through the diagonals and 2 through the midpoints of opposite sides
  2. 24 planes of symmetry

Answer4

Part (b) · 1 mark

Choose two letters from A, B, C, D, E, M that the rotational symmetry axis passes through.

  1. 1The axis is the vertical line through the apex and the centre of the base: E and M

AnswerE and M

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Also searched as: 0580/23/M/J/25 · 0580_s25_qp_23 · 0580 s25 23 · question 3.
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