the proof that $\triangle efgcong\triangle jhg$ is shown. given: g is the mid - point of $overline{hf}$…

the proof that $\triangle efgcong\triangle jhg$ is shown. given: g is the mid - point of $overline{hf}$, $overline{ef}paralleloverline{hj}$, and $overline{ef}congoverline{hj}$. prove: $\triangle efgcong\triangle jhg$. what is the missing statement in the proof? $angle fegcongangle hjg$ $angle gfecongangle ghj$ $angle egfcongangle jgh$ $angle gefcongangle jhg$

the proof that $\triangle efgcong\triangle jhg$ is shown. given: g is the mid - point of $overline{hf}$, $overline{ef}paralleloverline{hj}$, and $overline{ef}congoverline{hj}$. prove: $\triangle efgcong\triangle jhg$. what is the missing statement in the proof? $angle fegcongangle hjg$ $angle gfecongangle ghj$ $angle egfcongangle jgh$ $angle gefcongangle jhg$

Answer

Explanation:

Step1: Recall parallel - line property

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

Step2: Identify alternate - interior angles

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

Answer:

$\angle GFE\cong\angle GHJ$