Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

The diagram displays the locations of points $A$, $B$ and $C$.
(a(i))[2]

Using only a ruler and compasses, construct the perpendicular bisector of the line $AB$.

(a(ii))[2]

Using only a ruler and compasses, construct the locus of all points that are 3 cm from $C$.

(b)[1]

Shade the region that is closer to $A$ than to $B$ and less than 3 cm from $C$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct straight bisector of AB with 2 pairs of arcs

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