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Question
If 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. Then, PQRS is also a parallelogram. (T/F)
If 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. Then, PQRS is also a parallelogram. (T/F)
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Solution
The correct option is A True
From equation (3) , we obtain
PQ || SR and PQ = SR
Clearly, one pair of opposite sides of quadrilateral PQRS is parallel and equal.
Hence , PQRS is a parallelogram.
From equation (3) , we obtain
PQ || SR and PQ = SR
Clearly, one pair of opposite sides of quadrilateral PQRS is parallel and equal.
Hence , PQRS is a parallelogram.
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