DE¯¯¯¯¯¯¯¯

is a perpendicular bisector of FG¯¯¯¯¯¯¯¯
, and they intersect at point H. Which of the following statements must be true? Select the two correct answers.(1 point)
Responses

∠DHF≅∠DHG
∠DHF≅∠DHG

DH¯¯¯¯¯¯¯¯¯≅EH¯¯¯¯¯¯¯¯
line segment cap d cap h is congruent to line segment cap e cap h

FG¯¯¯¯¯¯¯¯≅DE¯¯¯¯¯¯¯¯
line segment cap f cap g is congruent to line segment cap d cap e

∠FDH≅∠DGH
∠FDH≅∠DGH

FH¯¯¯¯¯¯¯¯≅GH¯¯¯¯¯¯¯¯

∠DHF≅∠DHG and FH¯¯¯¯¯¯¯¯≅GH¯¯¯¯¯¯¯¯