The diagram depicts a triangle whose vertices are labelled $A$, $B$ and $C$.
(a)[1]
Construct the locus of points, within the triangle, that are $5\text{ cm}$ from $B$.
(b)[2]
Construct the locus of points, within the triangle, that are equally distant from $AB$ and $BC$.
(c)[1]
Shade the region, inside the triangle, containing points that are more than $5\text{ cm}$ from $B$ and closer to $AB$ 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: “Precise arc, centre $B$, radius $5$ cm, meeting both $BA$ and $BC$” …