0580/13 May/Jun 2025, Question 4: Quadrilateral Properties
Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 3 marks
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The question, in short
A quadrilateral has four equal sides, with bottom interior angles a° and 2a°. Name the shape and calculate a.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 1 mark
State the mathematical name of a quadrilateral whose four sides are all equal.
- 1Four equal sides, not a square: rhombus
AnswerRhombus
Part (b) · 2 marks
Using the angle properties of this quadrilateral, work out the value of a from a° and 2a°.
- 1Opposite sides are parallel, so co-interior angles add to 180°
- 2a + 2a = 180, so 3a = 180
- 3a = 60
Answer60
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Also searched as: 0580/13/M/J/25 · 0580_s25_qp_13 · 0580 s25 13 · question 4.
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