Questions: T V ≅ U W. Complete the proof that triangle T U W ≅ triangle U W W. - Statement - Reason - V W ⊥ T U - Given - angle T U W ≅ angle U T V - Given - T V ≅ U W - Given - angle U T V ≅ angle T V W - - angle U W V ≅ angle T U W - Alternate Interior Angles Theorem - angle T U W ≅ angle T V W - Transitive Property of Congruence - angle U W V ≅ angle T V W - Transitive Property of Congruence - V W ≅ V W - - triangle T V W ≅ triangle U W V - SAS

Transcript text: $\overline{T V} \cong \overline{U W}$. Complete the proof that $\triangle T U W \cong \triangle U W W$. \begin{tabular}{|l|l|l|} \hline & Statement & Reason \\ \hline 1 & $\overline{V W} \perp \overline{T U}$ & Given \\ \hline 2 & $\angle T U W \cong \angle U T V$ & Given \\ \hline 3 & $\overline{T V} \cong \overline{U W}$ & Given \\ \hline 4 & $\angle U T V \cong \angle T V W$ & \\ \hline 5 & $\angle U W V \cong \angle T U W$ & Alternate Interior Angles Theorem \\ \hline 6 & $\angle T U W \cong \angle T V W$ & Transitive Property of Congruence \\ \hline 7 & $\angle U W V \cong \angle T V W$ & Transitive Property of Congruence \\ \hline 8 & $\overline{V W} \cong \overline{V W}$ & \\ \hline $9 T V W \cong \triangle U W V$ & SAS \\ \hline \end{tabular}