Find the circumcenter of triangle efg with e(2, 6) f(2,4) and g)6,4

(4,5) you draw lines perpendicularly through each side and the point where they meet is the answer

The line rising to the right has equation y = x + 2
and the  other one has equation y =  -x + 4

the lines are solid so the inequalities will be <= or >=

in both case  the shading is below so the sign is <=

also x and Y values are both positive  
so the answer is choice  C