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In parallelogram \(ABCD\), two points \(P\) and \(Q\) are taken on diagonal \(BD\) such that \(DP = BQ\) (see Fig.).
 
YCIND_240320_6121_quad_11.png
 
Show that :
 
(i) \(∆APD ≅ ∆CQB\)
 
(ii) \(AP = CQ\)
 
(iii) \(∆AQB ≅ ∆CPD\)
 
(iv) \(AQ = CP\)
 
(v) \(APCQ\) 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.