Question

Point H is the circumcenter of triangle DEF.

Point H is the circumcenter of triangle D E F. Lines are drawn from each point of the triangle to point H. Lines are drawn from point H to each side of the triangle to form right angles and line segments H M, H N, and H L.
Which must be true? Select two options.

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.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N

Answer 1

quick sketch of the situation

Answer 2

two properties of circumcenters:
- if you transcribe a circle about (a.k.a around) the triangle, the circumcenter is the center of that circle
- the circumcenter is the same distance from all the vertices of the triangle

apply these properties to point H and it should be clearer what the two answer choices are