Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

The diagram indicates the positions of the three points, $A$, $B$ and $C$.
(a)[1]

Draw the locus of points that are $4\text{ cm}$ away from $C$.

(b)[2]

Using a straight edge and compasses only, construct the locus of points that are the same distance from $A$ and $B$.

(c)[1]

Shade the region which lies less than 4 cm from $C$ and is nearer to $B$ than to $A$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct circle of radius $4$ cm, centred at $C$.

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