Demystifying - Cyclic quadrilaterals

Drills

Opposite angles of a cyclic quadrilateral sum to 180°, and why all four vertices must touch the circle.

Author note — to cover (Higher)

Higher only (G10): opposite angles of a cyclic quadrilateral sum to 180 degrees, all four vertices on the circle; find angles including algebraic ones, reject figures with a vertex at the centre, and use the exterior angle equals the opposite interior corollary. (G10)

  • Fluency — direct questions on cyclic quadrilaterals, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Cyclic quadrilaterals.