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Title:

Grade: 10-a Lesson: S2-L4

Explanation:

We have to prove that \$\triangle FEC\$ and \$\triangle HAI\$ are congruent.
$4$

Consider \$\triangle FEC\$ and \$\triangle HAI\$.

\begin{align} FE &= HA \tag{Given} \\ FC &= HI \tag{Given} \\ \angle FEC &= \angle HAI \tag{Given} \\ \end{align}

So, \begin{align} \triangle FEC \cong \triangle HAI \\ \end{align}

Henced proved that \$\triangleFEC\$ \$\cong\$ \$\triangleHAI\$ by the RHS congruence rule.