Step-3

Title:

Grade: 10-a Lesson: S2-L4

Explanation:

We have to prove that \$\triangle ABE\$ and \$\triangle CEB\$ are congruent.
3

Consider \$\triangle ABE\$ and \$\triangle CEB\$.

\begin{align} BE &= EB \tag{Common side} \\ AB &= CE \tag{Given} \\ \angle BAE &= \angle ECB \tag{Given} \\ \end{align}

So, \begin{align} \triangle ABE \cong \triangle CEB \\ \end{align}

Henced proved that \$\triangleABE\$ \$\cong\$ \$\triangleCEB\$ by the RHS congruence rule.


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