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Proof of the Circle Theorems

Proof of the Circle Theorems

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Question 11

D,E D, E\,D,E and F F\,F are points on the circumference of a circle, centre OOO.

A diagram of a circle with center O. Points D, E, and F are on the circumference. Radii OD, OE, and OF are drawn. Angle DOF is the central angle, and angle DEF is the inscribed angle.

Prove that angle DOF=2×angle DEFDOF = 2 \times \text{angle } DEFDOF=2×angle DEF. You must not use any circle theorems in your proof.

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Markscheme

Proof of the Circle Theorems Questions

  1. GCSE
  2. /Maths
  3. /Proof of the Circle Theorems

19 exam-style questions on Edexcel GCSE Maths Proof of the Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.

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