Proof of the Circle Theorems

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Question 17

$Q\,$ and $R\,$ are points on the circumference of a circle, centre $O$ . $MRN\,$ is a tangent to the circle.

A geometric diagram shows a circle with center $O$ . A horizontal line $MRN\,$ is tangent to the circle at point $R$ . Points $P\,$ and $Q\,$ are on the circumference. Chords $PR\,$ and $QR\,$ are drawn. The point $Q\,$ is on the same side of the diameter through $R\,$ as $N$ , and $P\,$ is on the opposite side of this diameter.

Prove that angle $NRQ\,$ and angle $RPQ\,$ are equal.

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Proof of the Circle Theorems Questions

GCSE
Maths
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.

Question bank·Proof of the Circle Theorems