To Prove: Quadrilateral obtained by the mid-points of a side of PQRS is a parallelogram..
Explanation of Solution
Given:
Concept Used:
Parallelogram is a quadrilateral of which opposite sides are parallel and equal in length.
Proof:
As we know that
Coordinates of mid-points of PQRS are
Thus, the figure obtained by joining the mid-points of PQRS as
Now we will prove that ABCD is a parallelogram using the coordinates of A, B, C and D.
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