ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is the diagonal. Show that(i) SR || AC and SR=12AC(ii) PQ = SR(iii) PQRS is a parallelogram.

ABCD is a quadrilateral in which P, Q, R and S are mid-points of the s

1.	ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is the diagonal. Show that(i) SR \|\| AC and SR=12AC(ii) PQ = SR(iii) PQRS is a parallelogram.
Answer» ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is the diagonal. Show that (i) SR \|\| AC and $S R = \frac{1}{2} A C$ (ii) PQ = SR (iii) PQRS is a parallelogram.