Solution
From the info given the only statement that could be correct is:
C) AFE, DFE, DHG, BHG; Reason HL
And thats because there is the only case when we can see all the info required in order to conclude that triangles can be congruent. One leg equal and the hypothenuse congruent for all the possible triangles compared
AFE is congruent to DFE
Reason: AE = ED (Hipothenuse =H)
EF= EF
We ave two right triangles
DHG is congruent to BHG
Reason: DG= BG (Hipothenuse =H)
GH= GH
We ave two right triangles
By transitivity then we satisfy that;:
AFE, DFe, DHG and BHG are congruent triangles