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Proof of the Circle Theorems

Proof of the Circle Theorems

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Question 1
30%

A,B A, B\,A,B and C C\,C are points on the circumference of a circle, centre OOO.

A diagram of a circle with center O. Points A, B, and C are on the circumference. Line segments OB, OA, and OC are drawn from the center to the points. Angle AOC is the central angle, and angle ABC is the inscribed angle subtending the same arc AC.

Prove that angle AOC AOC\,AOC is twice the size of angle ABCABCABC. You must not use any circle theorems in your proof.

[4]
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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