Question

The points (3,-4)and (-6,2) are the extremites of adaiogn ofa parellogram . Uf the third vertices is (-1,-3), then the forth vertices is

Answer 1

Answer:

Let A(3, -4) and C(-6, 2) be the extremities of diagonal AC and B(-1,-3), D(x,y) the extremities of diagonal BD.

Since the diagonals of a parallelogram bisect each other.

Therefore, Coordinates of mid-point of AC = Coordinates of mid point of BD.

Hence, fourth vertex of parallelogram is (-2,1)