Question 58885: Determine the point A(x,y) so that the points A(x,y), B(0,3), C(1,0), D(7,2) will be the vertices of a parallelogram.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Determine the point A(x,y) so that the points A(x,y), B(0,3), C(1,0), D(7,2) will be the vertices of a parallelogram
diagonals bisect.hence their mipoints must be same
midpoint of AC = (x+1)/2;(y+0)/2
mid point of BD = (0+7)/2;(3+2)/2
hence
(x+1)/2 = 7/2
x+1=7
x=6
y/2=5/2
y=5
hence A is (6,5)
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