**i.** Mid point of AB

= \((\frac{2+5}{2},\frac{1+3}{2})\)

= \((\frac{7}{2},\frac{4}{2})=(\frac{7}{2},2)\)

= P(3,5,2)

= S(3,5)

**ii.** Length of PQ

Length of QR

Length of RS = \(\sqrt{(6-3)^2+(8-5)^2}\)

\(=\sqrt{3^2+3^3}=\sqrt{18}\)

Length of PS = \(\sqrt{(3.5-3)^2+(2-5)^2}\)

\(=\sqrt{5^2+3^2}=\sqrt{9.25}\)

PQ = RS

RQ = PS

Since the opposite sides of the quadrilateral PQRS are equal it is a parallelogram.