Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

Use only a ruler and compasses in this question.
(a(i))[1]

Construct the locus of points within quadrilateral $PQRS$ that are $6\text{ cm}$ away from $S$.

(a(ii))[2]

Construct the locus of points within quadrilateral $PQRS$ that are equally distant from $QP$ and $QR$.

(b)[1]

Shade the region inside quadrilateral $PQRS$ that contains points more than $6\text{ cm}$ from $S$ and nearer to $QR$ than to $QP$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Arc centred at $S$, radius $6$ cm

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