Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

$ABC$ forms a triangle, with $AC = 5\,\text{cm}$ and $BC = 7\,\text{cm}$.
(a)[2]

With only ruler and compasses, construct triangle $ABC$. The side $AB$ has already been drawn.

(b)[2]

With a straight edge and compasses only, draw the perpendicular bisector of $AB$.

(c)[1]

A point $W$ is located inside triangle $ABC$. Point $W$ is nearer to $A$ than to $B$. On your diagram, shade the region where $W$ is found.

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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Triangle with intersecting arcs that is acceptable

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