SOLUTION: Show that A(-4,-1), B(0,-2), C (6,1) and D(2,2) are vertices of a parallelogram

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Question 287096: Show that A(-4,-1), B(0,-2), C (6,1) and D(2,2) are vertices of a parallelogram
Answer by nburge(1) About Me  (Show Source):
You can put this solution on YOUR website!
By applying the distance formula d(P1,P2)=sqrt ((x2-x1)^2)+((y2-y1)^2)
we find that the distances of the points:
AB = sqrt(17)
BC = sqrt(45)
CD = sqrt(17)
DA = sqrt(45)
Since the distances of AB=CD and the distances of BC=DA, this shows that the vertices form a parallelogram.