Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

The diagram displays triangle ABC and an arc centred at C with radius 6.5 cm.
(a)[2]

Using only a straight edge and compasses, construct the locus of points inside the triangle that are equally distant from BA and BC.

(b)[1]

Shade the part inside the triangle that is farther than 6.5 cm from C and closer to BA than to BC.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct angle bisector at $B$ together with two pairs of correct arcs reaching $AC$

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