Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram depicts a rhombus $ABCD$ with $A$ at $(-1, 2)$, $C$ at $(5, 4)$, and $B$ located on the $y$-axis.

(i)[3]

Find the equation for the perpendicular bisector of $AC$.

(ii)[3]

Find the coordinates for $B$ and $D$.

(iii)[3]

Calculate the area of the rhombus.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The midpoint of $AC$ is $(2,3)$.” …