Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

Triangle $ABC$ is illustrated.
(a(i))[2]

With a straight edge and compasses only, construct the perpendicular bisector of $AB$. Show every construction arc.

(a(ii))[1]

Using only a ruler and compasses, construct the locus of points inside the triangle that are $4$ cm from $C$.

(b)[1]

Shade the part of the triangle that is more than 4 cm from $C$ and 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: Perpendicular bisector of $AB$ with two correct pairs of arcs

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