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three consecutive vertices of a parallelogram ABCD are A(1,2) B(1,0) and C(4,0). find the fourth vertex D
Given: ABCD is a parallelogram.
Let vertex of D is (x, y) and O is the mid-point of AC and BD
Since, the diagonals of a parallelogram bisect each other.
Therefore,
Coordinates of the mid-point of AC = coordinates of mid-point of BD

Hence, the fourth vertex of the parallelogram is (4, 5)


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