Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The figure displays a quadrilateral $ABCD$ with $A$ at $(-1, -1)$, $B$ at $(3, 6)$ and $C$ at $(9, 4)$. The diagonals $AC$ and $BD$ meet at $M$. Angle $BMA = 90^{\circ}$ and $BM = MD$.
(i)[7]

Calculate the coordinates of the points $M$ and $D$.

(ii)[2]

Find the ratio of $AM$ to $MC$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Works out the gradients of $AC$ and $BD$” …

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