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Proof of the Circle Theorems

Proof of the Circle Theorems

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Question 3

P,Q P, Q\,P,Q and R R\,R are points on the circumference of a circle, centre MMM.

A diagram of a circle with center M. Points P, Q, and R are on the circumference. Line segments MP, MQ, and MR are drawn from the center to the points. Angle PMR is the central angle, and angle PQR is the inscribed angle.

Prove that angle PMR PMR\,PMR is twice the size of angle PQRPQRPQR. 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 AQA 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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