Answer:
YES
Criteria: SAS criterion
∆EFJ ≅ ∆HFG
Step-by-step explanation:
Side EF in ∆EFJ ≅ side HF in ∆HFG (corresponding sides)
Side FJ in ∆EFJ ≅ side FG in ∆HFG (corresponding sides)
Also,
<F in ∆EFJ ≅ <F in ∆HFG (vertical angles are congruent)
Thus, two sides and one included angle of ∆EFJ are congruent to two corresponding sides and an included angle of ∆HFG.
Therefore, by the SAS Congruence Theorem, ∆EFJ ≅ ∆HFG.
