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?