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.

HE=HD
LH=NH
MEH NEH
DLH FNH

Answer 1

Circumcenter and circumcirle are shown in the attachment. Assume that the triangle is DEF instead of ABC and that the intersection of perpendiculars is H.
The definition of the circumcenter of a triangle is defined as the point of intersection of all the perpendicular bisectors in the triangle.
The circumcircle passes by all three of the triangle's vertices.

Based on the above, the right choiceS will be:
Point H is the center of the circle that passes through points D, E, and F. 
HD = HE

Answer 2

Answer:

the correct answers are:

a. ) Point H is the center of the circle that passes through points D, E, and F.

c. ) HE=HD