(a(i))[2]
Determine the coordinates of the midpoint of line $AB$.
(a(ii))[1]
Express $\overrightarrow{AB}$ as a column vector.
(a(iii))[2]
Determine the coordinates of $C$.
(b(i))[2]
Rotate shape $P$ by $180^\circ$ about the point $(4,1)$.
(b(ii))[2]
Reflect shape $P$ across the line $y=x+2$.
(b(iii))[3]
Describe fully the single transformation that takes shape $P$ onto shape $Q$.