Prove that the points (6, 8), (3, 7), (- 2, - 2), (1, - 1) are the vertices of a parallelogram.
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Step-by-step explanation:
To prove that the vertices are of a parallelogram we need to prove that the mid points of the diagonals have same coordinates ..let
A(6,8)
B(3,7)
C(-2,-2)
D(1,-1)
diagonals : AC&BD
mid point of AC (x1+x2)/2,(y1+y2)/2
=(2,3)
mid point of BD :(2,3)
Hence proved ..they are the vertices of a parallelogram
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