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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
Sagot :
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