Question

The points (0,0), (3, 3), and (0,6) are three vertices of a square. What are the coordinates of the fourth vertex of the square?

O B. (2,3)
O A. (0, 3)
OD. (4,3)
O C. (3, 3)

Answer 1

Explanation:

let 4th vertex be (x,y)

midpoint of diagonal is same.

`(0+0)/(2) =(3+x)/(2)\\\\3+x=0\\ x=-3\\(0+6)/(2) = (3+y)/(2) \\3+y=0+6\\y=6-3\\=3`

so 4th vertex is (-3,3)

Answer 2

The coordinates of the fourth square is 4,3