(i)[5]
Find the equation of $MB$ together with the coordinates of $B$.
(ii)[2]
Show that $AB$ forms a right angle with $BC$.
(iii)[2]
Because $ABCD$ is a square, find the coordinates of $D$ and the length of $AD$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Point $A$ has coordinates $(-3, 2)$, while point $C$ has coordinates $(5, 6)$. The midpoint of $AC$ is $M$, and the perpendicular bisector of $AC$ meets the $x$-axis at $B$.