P. Q, R and S are respectively the midpoints of the sides AB, BC, CD a

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

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

Answer»

P. Q, R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD. Show that

(i) PQ || AC and $P Q = \frac{1}{2} A C$

(ii) PQ || SR

(iii) PQRS is a parallelogram.