(i)[3]
Determine the equation of $AD$.
(ii)[3]
Use calculation to find the coordinates of $D$.
(iii)[2]
Given that $ABCE$ is a parallelogram, determine the length of $BE$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The figure depicts trapezium $ABCD$ with $AB$ parallel to $DC$, and angle $BAD$ equal to $90^\circ$. Points $A$, $B$ and $C$ have coordinates $(2,6)$, $(5,-3)$ and $(8,3)$ respectively.