Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

The diagram shows the triangle labelled $ABC$.
(a(i))[1]

Using the diagram, construct the locus of points inside the triangle that are $3.5\text{ cm}$ from $A$.

(a(ii))[1]

Using the diagram, construct the locus of points inside the triangle that are equally distant from $AC$ and $BC$.

(b)[1]

On the diagram, shade the region inside the triangle made up of points that are more than $3.5\text{ cm}$ from $A$ and closer to $AC$ 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: Circular arc with radius 3.5 cm and centre A

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