Proof of the Circle Theorems

Question 6

$Q\,$ 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.

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

[4]

Proof of the Circle Theorems

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Question 6

$Q\,$ 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.

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

[4]

Proof of the Circle Theorems

Question 6

Proof of the Circle Theorems Questions

Proof of the Circle Theorems

Question 6

Proof of the Circle Theorems Questions