Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

A park $ABCD$ is shown in the scale drawing. The scale means 1 centimetre stands for 20 metres. A North arrow is included, and the points are marked $A, B, C, D$.
(a)[2]

Work out the actual distance $AD$.

(b)[1]

Work out the bearing of $B$ as seen from $A$.

(c)[2]

A route across the park is equidistant from $CB$ and $CD$. Using only a straight edge and compasses, construct the location of the route. Include your construction arcs.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The distance is 168.

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