Geometry & MeasuresIntroduction

The 360° Family

Part of Properties of Quadrilaterals · GCSE GCSE Mathematics revision

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.

Topic position

Section 1 of 10

Practice

11 questions

Recall

3 flashcards

The 360° Family

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°

Keep building this topic

Read this section alongside the surrounding pages in Properties of Quadrilaterals. That gives you the full topic sequence instead of a single isolated revision point.

The Quadrilateral Family Key Angle Properties Worked Example 1: Missing Angle

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

11 questions on Properties of Quadrilaterals — practise free

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Properties of Quadrilaterals

The Quadrilateral Family