Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

The diagram displays pentagon $ABCDE$.
(a)[2]

Using only a straight edge and compasses, construct the bisector of angle $BCD$.

(b)[1]

Plot the locus of the points inside the pentagon that are $3\text{ cm}$ from $E$.

(c)[1]

Shade the region within the pentagon that lies less than $3\text{ cm}$ from $E$ and is closer to $DC$ than to $BC$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate ruled bisector with two pairs of arcs

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