Question

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

Explanation:

Step1: Recall parallel - line property

Since $\overline{EF}\parallel\overline{HJ}$, alternate - interior angles are equal.

Step2: Identify alternate - interior angles

The alternate - interior angles formed by the parallel lines $\overline{EF}$ and $\overline{HJ}$ and the transversal $\overline{FH}$ are $\angle GFE$ and $\angle GHJ$.

Answer:

$\angle GFE\cong\angle GHJ$