Question

Find the circumcenter of (triangle) EFG with E(2, 6), F(2, 4), and G(6, 4).

Answer 1

(4,5)

Answer 2

The circumcentre is the intersection of two or all of the perpendicular bisectors of the sides of a triangle.
Since this is a right triangle along the x-y axes, the circumcentre is just the average of the coordinates.
Between (2,6) and (2,4), it is y=5.
Between (2,4) and 6,4), it is x=4
So the circumcentre is at (4,5)