Circle Theorems 2
Mathematics SSS 2 Second Term
WEEK 10
Circle Theorems 2
Performance Objectives
Students should be able to;
- Prove that the angles in the same segment of a circle are equal
- Angles in a semicircle is a right angle
- The opposite angles in a cyclic quadrilateral are supplementary
- The exterior angle is equal to interior opposite angles
Tangents from an external point
Content
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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