Demystifying - Tangents to a circle

Drills

A tangent meets its radius at 90°, and the two tangents from an external point are equal.

Author note — to cover (Higher)

Higher only (G10): a tangent meets the radius at 90 degrees at the point of contact, and the two tangents from an external point are equal, giving isosceles triangles and kite figures; combine with Pythagoras for lengths. The alternate segment theorem gets its own page. (G10)

  • Fluency — direct questions on tangents to a circle, 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 Tangents to a circle.