If A(1,2) , B(4,3 ) and C( 6,6) are the three vertices of a parallelogram ABCD , find the coordinates of the fourth vertex D

Let A(1, 2), B (4, 3) and C(6, 6).

Let D (x, y) be the fourth vertex of the parallelogram ABCD.

Since, the diagonals of parallelogram bisect each other at O.

∴ Mid point of BD = Mid point of AC

Thus, (3, 3) is the fourth vertex.

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