Cyclic quadrilateral

Definition

A quadrilateral whose four vertices lie on one circle.

Used by AQA, Edexcel and OCR

Specification G10 · Paper 1, Paper 2, Paper 3

A cyclic quadrilateral has all four vertices on a circle. Its opposite angles stand on the two arcs between the other pair of vertices.
Revise: Circle Theorems

Specification G10 · Paper 1, Paper 2, Paper 3

In a cyclic quadrilateral, each pair of opposite angles faces one of the two arcs between the other pair of vertices.
Revise: Circle Theorems

1
Check that all four vertices lie on the circumference before using the cyclic quadrilateral theorem.

Create a free account to read GCSE Mathematics revision notes for your exam board and track your progress.

Specification 8.05h · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)

A four-sided shape whose vertices all lie on the circumference of one circle.
Revise: Cyclic Quadrilaterals