Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

The scale diagram represents triangle $ABC$. The scale is 1 centimetre represents 8 kilometres.
(a)[2]

Using only a straight edge and compasses, construct the bisector of angle $BAC$. Include all your construction arcs.

(b)[2]

Draw the locus of all points inside triangle $ABC$ that are 56 km from $C$.

(c)[1]

Shade the part of triangle $ABC$ that is farther than 56 km from $C$ and closer to $AC$ than to $AB$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Construction line drawn correctly

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