Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

The diagram shows where boats $A$, $B$ and $C$ are positioned.
(a)[1]

Using the diagram, determine the bearing of $B$ from $A$.

(b(i))[2]

$CX$ is the bisector of angle $ACB$. Using compasses and a straight edge only, construct the locus of points inside triangle $ABC$ that are the same distance from $B$ and $C$.

(b(ii))[1]

A ship is closer to $AC$ than to $BC$ and closer to $C$ than to $B$. Shade the region where this ship is located.

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