Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

The diagram depicts two regular pentagons. Pentagon $FGHJK$ is an enlargement of pentagon $ABCDE$, with centre $O$. The diagram is not drawn to scale.
(a)[4]

Determine angle $AEK$.

(b)[2]

Find the simplest form of the ratio perimeter of pentagon $FGHJK$ : perimeter of pentagon $ABCDE$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: The angle is $126^\circ$.

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