Questions: E H parallel to F G and G H parallel to E F. Complete the proof that E F is congruent to G H. - Statement - Reason 1. E H parallel to F G - Given 2. G H parallel to E F - Given 3. angle E G F is congruent to angle G E H - Alternate Interior Angles Theorem 4. angle F E G is congruent to angle E G H - Alternate Interior Angles Theorem 5. E G is congruent to E G - Reflexive Property of Congruence 6. triangle E F G is congruent to triangle G H E - 7. E F is congruent to G H -

Transcript text: $\overline{E H} \| \overline{F G}$ and $\overline{G H} \| \overline{E F}$. Complete the proof that $\overline{E F} \cong \overline{G H}$. \begin{tabular}{|l|l|l|} \hline & Statement & Reason \\ \hline 1 & $\overline{E H} \| \overline{F G}$ & Given \\ 2 & $\overline{G H} \| \overline{E F}$ & Given \\ 3 & $\angle E G F \cong \angle G E H$ & Alternate Interior Angles Theorem \\ 4 & $\angle F E G \cong \angle E G H$ & Alternate Interior Angles Theorem \\ 5 & $\overline{E G} \cong \overline{E G}$ & Reflexive Property of Congruence \\ 6 & $\triangle E F G \cong \triangle G H E$ & \\ 7 & $\overline{E F} \cong \overline{G H}$ & \\ \hline \end{tabular}