Question

UNANSWERED PLZ HELP

#2 Is this triangle congruent? If so, list the congruent parts and justify your answer. Then state the criteria.

Answer 1

YES

Criteria: SAS criterion

∆EFJ ≅ ∆HFG

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.