Question

Point H is the circumcenter of triangle DEF. Which must be true? Check all that apply. Point H is the center of the circle that passes through points D, E, and F. Point H is the center of the circle that passes through points L, M, and N. MEH NEH DLH FNH

Answer 1

The circumcenter of a triangle is the intersection of the perpendicular bisectors.It is the center of the triangle's circumcircle. And a circumcircle is the circumscribed circle of the triangle. This unique circle passes through each of the triangle's three vertices. According to these definitions the following statement is true:
Point H is the center of the circle that passes through points D, E, and F.