Mathematics 4024 · O Level · Geometrical constructions
Geometrical constructions — practice question
The scale diagram depicts a garden with two trees $P$ and $Q$. The scale is $1$ centimetre represents $6$ metres.
(a)[2]
There is a path in the garden that is equally distant from $P$ and $Q$. Using only a straight edge and compasses, construct the path.
(b)[3]
Yuna wants to place a third tree in the garden in a position that is closer to $Q$ than to $P$ and more than $18\text{ m}$ from $Q$. Shade the parts of the garden where Yuna can place the tree.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Perpendicular bisector of $PQ$, with the correct arcs drawn” …