The 360° Family

Part of Properties of Quadrilaterals · Section 1 of 10

IntroductionUnit: Geometry & MeasuresGCSE

Every quadrilateral (4-sided shape) has angles that add up to 360°. Whether it's a square, a weird-shaped kite, or a wonky trapezium - the interior angles ALWAYS total 360°. This is because any quadrilateral can be split into two triangles (2 × 180° = 360°).

Visual: Quadrilateral Properties

Diagram showing six quadrilateral types with their properties: Square (4 equal sides, all 90°), Rectangle (opposite sides equal, all 90°), Rhombus (4 equal sides, opposite angles equal), Parallelogram (opposite sides parallel and equal), Trapezium (one pair parallel sides), Kite (2 pairs adjacent sides equal)

Remember: All quadrilaterals have interior angles that sum to 360°

This introduction covers The 360° Family within Properties of Quadrilaterals for GCSE Mathematics. Revise Properties of Quadrilaterals in Geometry & Measures for GCSE Mathematics with 11 exam-style questions and 3 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 1 of 10 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Practice questions for Properties of Quadrilaterals

Which of the following is a property of a parallelogram?

A. All four sides are equal
B. All four angles are 90°
C. Opposite sides are equal and parallel
D. Diagonals are equal in length

1 markfoundation

State THREE properties of a rhombus, at least one of which relates to its diagonals.

2 marksfoundation

Quick recall flashcards

Rhombus

All sides equal, opposite angles equal

Parallelogram

Opposite sides parallel and equal

The Quadrilateral Family

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