The coordinates of a square are: (7,2), (7,7), (2,7) and

(2,2)

Step-by-step explanation:

Let's assume the four vertices of square be A(7,2), B(7,7), C(2,7) and D(x,y).

Now coordinates of vertices D needs to be found. For that use the following property of a square:

Refer to figure 1 to for understanding below calculations.

Since diagonal AC and BD bisect each other at point O(p,q). Therefore O is the mid-point of both AC and BD.

Now since O is mid-point of AC. Therefore,

Also since O is mid-point of BD. Therefore,

Similarly,

Thus coordinates of D are (2,2)

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.