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\(ABCD\) is a parallelogram and \(AP\) and \(CQ\) are perpendiculars from vertices \(A\) and \(C\) on diagonal \(BD\) (see Fig.).
 
YCIND_240320_6121_quad_12.png
 
Show that
 
(i) \(∆APB ≅ ∆CQD\)
 
(ii) \(AP = CQ\)
 
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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.