The proof that HG ≅ EG is shown.

Given: G is the midpoint of KF

KH ∥ EF

Prove: HG ≅ EG

Triangles F E G and K H G are connected at point G.

What is the missing reason in the proof?

Statement
Reason
1. ∠EGF ≅ ∠HGK 1. vert. ∠s are ≅
2. KH ∥ EF 2. given
3. ∠F ≅ ∠K 3. alt. int. ∠s are ≅
4. G is the midpoint of KF 4. given
5. FG ≅ KG 5. def. of midpt.
6. △FEG ≅ △KHG 6. ?
7. HG ≅ EG 7. CPCTC
SAS
ASA
AAS
HL