Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

The scale diagram depicts a section of field $ABCD$. The drawing scale is $1\text{ cm}$ representing $50\text{ m}$.
(a)[1]

Find the bearing of $C$ from $B$.

(b)[2]

$D$ lies $250\text{ m}$ from $C$ and $300\text{ m}$ from $A$. With only a ruler and compasses, complete the scale drawing of field $ABCD$.

(c)[2]

A path runs across the field. It is equally distant from $AB$ and $BC$. Construct the path using only a straight edge and compasses.

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