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Circles — Part 2: Tangents from an external point

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Lesson

Circles, Part 2: Tangents from an external point

Two tangents, one point, and a surprising equality.

In this lesson you will

  • Prove that the two tangents from an external point are equal
  • Use the angle facts: OP bisects the angles and the angle between the tangents is supplementary to the angle at the centre
  • Solve problems on quadrilaterals and triangles drawn round a circle
  • Combine both theorems in multi-step problems
Tangents from an external point are equal: $PA = PB$.