Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

The circle has centre $O$ and diameter $AB$. $PA$ and $QB$ are tangents to the circle at $A$ and $B$ respectively.
(main)[3]

Prove that triangle $PAO$ is congruent to triangle $QBO$. State a reason for every statement you write.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\angle POA = \angle QOB$

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