Hi

A(0,-1)

B(1,2), m = -3/-1 = 3

C(-4,7) m = -5/5 = -1

D(-5,4) m = 3/1 = 3

A(0,-1) m = 5/-5 = -1

If 

 and  

then ABCD is a parallelogram.

A(0,-1),

C(-4,7) Midpoint = ( -2, 3)

B(1,2), 

D(-5,4) Midpoint = ( -2, 3)

OR if

 bisects  and  bisects 

then ABCD is a parallelogram.

 

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