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.
response - incorrect
Responses

FG¯¯¯¯¯¯¯¯≅DE¯¯¯¯¯¯¯¯
line segment cap f cap g is congruent to line segment cap d cap e - no response given

FH¯¯¯¯¯¯¯¯≅GH¯¯¯¯¯¯¯¯
line segment cap f cap h is congruent to line segment cap g cap h - not selected, this is the correct answer

∠FDH≅∠DGH
∠FDH≅∠DGH
- no response given

∠DHF≅∠DHG
∠DHF≅∠DHG
- not selected, this is the correct answer

DH¯¯¯¯¯¯¯¯¯≅EH¯¯¯¯¯¯¯¯

line segment cap d cap h is congruent to line segment cap e cap h - not selected, this is the correct answer