Welcome to Bytelearn!

Let’s check out your problem:

$\overline{X Y} \cong \overline{V W}, \angle Y \cong \angle V$, and $\angle S W Y \cong \angle U X V$. Complete the proof that $\triangle S W Y \cong \triangle U X V$.$\newline$\begin{tabular}{|l|l|l|}$\newline$\hline & Statement & Reason \\$\newline$\hline $1$ & $\overline{X Y} \cong \overline{V W}$ & Given \\$\newline$$2$ & $\angle Y \cong \angle V$ & Given \\$\newline$$3$ & $\angle S W Y \cong \angle U X V$ & Given \\$\newline$$4$ & $W Y=X Y+W X$ & \\$\newline$$5$ & $V X=V W+W X$ & \\$\newline$$6$ & $W Y=V W+W X$ & \\$\newline$$7$ & $V X=W Y$ & \\$\newline$$8$ & $\triangle S W Y \cong \triangle U X V$ & \\$\newline$\hline$\newline$\end{tabular}