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\(ABCD\) is a quadrilateral in which \(P, Q, R\), and \(S\) are mid-points of the sides \(AB, BC, CD\), and \(DA\) (see Fig). \(AC\) is a diagonal.
 
YCIND_240320_6121_quad_14.png
 
Show that:
 
(i) \(SR || AC\) and \(SR =\frac{1}{2}AC\)
 
(ii) \(PQ = SR\)
 
(iii) \(PQRS\) is a parallelogram
 
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Important!
This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.