Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

ABCD is a quadrilateral. The diagram displays vertices A, B, C, and D joined consecutively to make a quadrilateral.
(a)[2]

With straight edge and compasses only, construct the perpendicular bisector of BC. Include every construction arc.

(b)[2]

With a straight edge and compasses only, construct the bisector of angle BCD. Include all your construction arcs.

(c)[1]

Shade the area inside ABCD that is closer to B than to C and closer to CD than to BC.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Perpendicular bisector correctly drawn with the correct arcs

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