The proof that ΔEFG ≅ ΔJHG is shown.

Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.

Prove: ΔEFG ≅ ΔJHG

Triangles E F G and J H G share common point G.

Statement

Reason

1. G is the midpoint of HF 1. given

2. FG ≅ HG 2. def. of midpoint

3. EF ∥ HJ 3. given

4. ? 4. alt. int. angles are congruent

5. EF ≅ HJ 5. given

6. ΔEFG ≅ ΔJHG 6. SAS

What is the missing statement in the proof?

∠FEG ≅ ∠HJG

∠GFE ≅ ∠GHJ

∠EGF ≅ ∠JGH

∠GEF ≅ ∠JHG