Q. 13.6( 8 Votes )

What are the coordinates of the fourth vertex of the parallelogram shown on the right?


Answer :

Let the coordinate of fourth vertex be (x1, y1) and the point of intersection of diagonals be (x2, y2)


Diagonals of a parallelogram bisects each other


According to the section formula for mid points



x2 = 3.5


y2


y2 = 4.5


The point of intersection is (3.5, 4.5)


Again using the section formula for mid points



1 + x1 = 7


x1 = 6



1 + y1 = 9


y1 = 8


The fourth vertex of parallelogram is (6, 8)


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