Problem 6 Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

A: EFGH is a rectangle.
B: EFGH is a rhombus.
C: Diagonal FH bisects angles EFG and EHG.
D: Diagonal FH is perpendicular to side FE.
E: Angle EHF is congruent to angle FGH.
F: Angle FEH is congruent to angle FGH.​