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SS2 Mathematics

Circle Theorems

Overview

Prove that the angle which an arc subtends at the center is twice the angle it the circumference. Solve practical problems on the theorem correctly. 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. .Prove riders on tangents to a circle

What you'll learn
  • Proof of the angle which an arc subtends at the center is twice the angle it subtends at the circumference.
  • prove of:
  • Angles in the same segment of a circle are equal.
  • Angle in a semi-circle
  • Cyclic quadrilaterals
  • Tangents to a circle