0580/12 Oct/Nov 2025, Question 5: Lines of Symmetry
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks
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The question, in short
A large equilateral triangle is split into four smaller equilateral triangles by joining side midpoints. Draw all lines of symmetry and state the order of rotational symmetry.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
On the diagram, draw every line of symmetry of the shape.
- 1The large equilateral triangle has 3 lines of symmetry.
- 2Each goes from a corner to the midpoint of the opposite side.
- 3The inner lines are symmetric about these too, so there are no others.
- 4Draw these 3 lines.
Answer3 correct lines
Part (b) · 1 mark
Write down the order of rotational symmetry of the shape.
- 1The diagram looks the same after turns of 120°, 240° and 360°: order 3
Answer3
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Also searched as: 0580/12/O/N/25 · 0580_w25_qp_12 · 0580 w25 12 · question 5.
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