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Proof of the Circle Theorems

Proof of the Circle Theorems

Hard
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Question 10

P,Q P, Q\,P,Q and R R\,R lie on the circumference of a circle with centre OOO. POR POR\,POR is a diameter.

A circle with center O. Points P, Q, and R are on the circumference. POR is a diameter, and PQR is an inscribed angle.

Prove that ∠PQR=90∘\angle PQR = 90^\circ∠PQR=90∘

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 CCEA 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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