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\(ABCD\) is a trapezium in which \(AB || CD\) and \(AD = BC\) (see Fig.). 
 
YCIND_240320_6121_quad_13.png
 
Show that
 
(i) \(∠A = ∠B\)
 
(ii) \(∠C = ∠D\)
 
(iii) \(∆ABC ≅ ∆BAD\)
 
(iv) diagonal \(AC =\) diagonal \(BD\)
 
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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.