Question

the proof that △efg≅△jhg is shown. given: g is the midpoint of hf, ef∥hj, and ef≅hj. prove: △efg≅△jhg statements 1. g is the midpoint of hf 2. fg≅hg 1. given 2. def. of midpoint reasons what is the missing statement in the proof? ∠gfe≅∠ghj ∠gef≅∠jhg ∠feg≅∠hjg ∠egf≅∠jgh

Explanation:

Step1: Identify parallel lines and transversal

EF || HJ, transversal HF.

Step2: Alternate interior angles congruence

∠GFE ≅ ∠GHJ (alt. int. ∠s, EF||HJ).

Answer:

∠GFE ≅ ∠GHJ