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GCSE Mathematics · key term
A quadrilateral with four equal sides.
Used by Edexcel and OCR
Specification G4 · Paper 1, Paper 2, Paper 3
Revise: Quadrilaterals and TrianglesA rhombus adds four equal sides instead; its diagonals meet at right angles and each bisects a pair of opposite angles. A square has both sets of extra properties: four equal sides and four right angles. It is therefore a rectangle, a rhombus and a parallelogram.
Specification 8.04b · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
In a classification question, name every shape that satisfies the stated property. A square is also a rectangle, a rhombus and a parallelogram.
A rectangle’s diagonals are equal and bisect each other, but they are not generally perpendicular. A rhombus’s diagonals are perpendicular and bisect each other, but they are not generally equal.
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The special names—parallelogram, rectangle, rhombus, square, trapezium and kite—tell us that the quadrilateral has extra structure. That extra structure creates properties that can be used to calculate lengths and angles or to justify steps in a proof.