The sketch depicts line segment $AB$, connecting $A(2,3)$ with $B(5,4)$.
(a)[1]
Find the midpoint coordinates for $AB$.
(b)[1]
$AB$ is carried onto $CD$ by the translation $\begin{pmatrix}-3 \\ 1\end{pmatrix}$. Find the coordinates of $C$.
(c)[1]
$AB$ is taken to $FG$ by a rotation of $90^\circ$ clockwise about centre $(1,4)$. Find the coordinates of $G$.
(d)[2]
Find the equation for $AB$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\left(3\frac12,3\frac12\right)$” …
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