$A$ has coordinates $(-4, -1)$, $B$ is located at $(2, 2)$ and $\overrightarrow{BC} = \begin{pmatrix}4 \\ -8\end{pmatrix}$.
(a)[1]
Find the coordinates of the midpoint on $AB$.
(b)[1]
Find the gradient along $AB$.
(c)[2]
Show that the line $BC$ is perpendicular to $AB$.
(d)[2]
$ABCD$ is a rectangle. Find the coordinates of vertex $D$.
(e)[4]
Calculate the perimeter of the rectangle $ABCD$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Midpoint: $(-1, 1/2)$ or $(-1, 0.5)$.” …
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