(i)[3]
Find the value of $h$ by calculation.
(ii)[3]
Hence determine the coordinates of $D$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram depicts a trapezium $ABCD$ with $A$, $B$ and $C$ at $(4, 0)$, $(0, 2)$ and $(h, 3h)$ respectively. $BC$ is parallel to $AD$, $ngle ABC = 90^\circ$ and $CD$ is parallel to the $x$-axis.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Gives gradient of $AB = -\frac{1}{2}$ and therefore gradient of $BC = 2$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI