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)

Respuesta :

The coordinates of the fourth square is 4,3

Answer:

Step-by-step explanation:

let 4th vertex be (x,y)

midpoint of diagonal is same.

[tex]\frac{0+0}{2} =\frac{3+x}{2}\\\\3+x=0\\ x=-3\\\frac{0+6}{2} = \frac{3+y}{2} \\3+y=0+6\\y=6-3\\=3[/tex]

so 4th vertex is (-3,3)