is there anything else about the resulting shape that is special?

establish that a parallelogram is always formed for any quadrilateral with corners at

A(0, 0) , B(2m , 2n) , C(2p , 2q) and D(2r , 2s)

by joining the midpoints of the sides

(a version of Varignon's theorem, if you accept that these coordinate pairs are used without any loss of generality)

as a result of doing this procedure how can you obtain:

- a rhombus?
- a square?
- a rectangle?

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