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Title:

Grade: 10-a Lesson: S2-L4

Explanation:

From the figure we can observe that
$2$

V is the mid-point of UW and since TV \$\bot\$ UV, \$\angleTVU = \angle TVW = 90^\circ\$.

Consider \$\triangle TUV\$ and \$\triangle TWV\$.

\begin{align} TV &= TV \tag{Common side} \\ UV &= WV \tag{Given} \\ \angle TVU &= \angle TVW \\ \end{align}

So, \begin{align} \triangle TUV \cong \triangle TWV \\ \end{align}

Henced proved that \$\triangleTUV\$ \$\cong\$ \$\triangleTWV\$ by the RHS congruence rule.