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 (see the given figure). AC is a diagonal. Show that:(i) SR \|\| AC and SR = AC(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 (see the given figure). AC is a diagonal. Show that: (i) SR \|\| AC and SR = AC (ii) PQ = SR (iii) PQRS is a parallelogram.

ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see the given figure). AC is a diagonal. Show that:(i) SR || AC and SR = AC(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 (see the given figure). AC is a diagonal. Show that:

(i) SR || AC and SR = AC

(ii) PQ = SR

(iii) PQRS is a parallelogram.