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.