Three consecutive vertices of a parallelogram are (-2, 1) (1,0)
and (4,3) Find the Coordinates of the fourth vertex.​

2 thoughts on “Three consecutive vertices of a parallelogram are (-2, 1) (1,0)<br />and (4,3) Find the Coordinates of the fourth vertex.​”

1. Answer:

   (1,4) are the required coordinate

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2. Step-by-step explanation:

   Let A(-2, -1), B(1, 0) and C(4, 3) and D(x,y) be the vertices of a parallelogram ABCD taken in order.

   Since the diagonals of a parallelogram bisect each other.

   Therefor, Coordinates of the mid – point of AC = Coordinates of the mid-point of BD.

   (-2+4/2, -1+3/2) = (1+x/2, 0+y/2)

   (1,1) = (1+x/2 , y/2)

   x+1 = 2, y=2

   Therefore (1,2) is the fourth vertex.

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