Which congruence theorems can be used to prove △EFG ≅ △JHG? Check all that apply.HLSASSSSASAAAS

Answer:ASA  and AASStep-by-step explanation:We do not know if these are right triangles; therefore we cannot use HL to prove congruence.We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.We are given that EF is parallel to HJ.  This makes EJ a transversal.  This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent.  We also know that ∠EGF and ∠HGJ are vertical angles and are congruent.  This gives us two angles and a non-included side, which is the AAS congruence theorem.Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent.  Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.