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P, Q, R and S are respectively the midpo...

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=(1)/(2) AC `
(ii) PQ||SR
(iii) PQRS is a parallelogram .

Text Solution

Verified by Experts

In `triangle ABC`, P and Q are the midpoints of AB and BC respectively.
`therefore "PQ||AC and "PQ =(1)/(2) AC`. Similarly, SR||AC.
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