Circle Theorems 2

Mathematics SSS 2 Second Term


Circle Theorems 2

Performance Objectives

Students should be able to;

  1. Prove that the angles in the same segment of a circle are equal
  2. Angles in a semicircle is a right angle
  3. The opposite angles in a cyclic quadrilateral are supplementary
  4. The exterior angle is equal to interior opposite angles

Tangents from an external point


The tangents to a circle from an external point are equal.

Given: a point T outside a circle, centre O, TA and TB are tangents to the circle at A and B.

To prove: /TA/ = /TB/.

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