Show that the following points are the vertices of a rectangle: (i) \( A(-4,-1), B(-2,-4), C(4,0...

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Show that the following points are the vertices of a rectangle:
(i) \( A(-4,-1), B(-2,-4), C(4,0) \) and \( D(2,3) \)
(ii) \( A(2,-2), B(14,10), C(11,13) \) and \( D(-1,1) \)
(iii) \( A(0,-4), B(6,2), C(3,5) \) and \( D(-3,-1) \)
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