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Mathematics, 18.03.2021 03:00 stevegafy

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

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