Proof of the Circle Theorems
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Hard
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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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Proof of the Circle Theorems Questions

Practise Eduqas GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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Proof of the Circle Theorems Questions

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