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MA27-08 Maths Coming soon

Circle theorem: tangents from an external point

MA27-08

This lesson is coming soon.

In this lesson

Prove, using congruent triangles, and use the circle theorem that two tangents drawn from the same external point to a circle are equal in length.

What it covers

  • Two tangents drawn from the same external point to a circle are equal in length
  • Proving this using congruent triangles (RHS or SAS)

Key words

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Cambridge IGCSE 0580, Edexcel IGCSE 4MA1

On the specification

BoardSpecStatement
AQA GCSE 8300G10Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
Edexcel GCSE 1MA1G10Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
Eduqas GCSE C300HG10Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
Cambridge IGCSE 0580C4.8Extended content only.
Cambridge IGCSE 0580E4.8Circle theorems II
Edexcel IGCSE 4MA1F4.6BUnderstand chord and tangent properties of circles
For teachers

This GCSE Maths lesson teaches circle theorem: tangents from an external point. By the end, students should be able to prove, using congruent triangles, and use the circle theorem that two tangents drawn from the same external point to a circle are equal in length. It works through two worked examples and the mistakes examiners report.