Congruent Triangles
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Is \(\bigtriangleup ABC\equiv \bigtriangleup CDA\)?
\begin{align}
&\begin{aligned}
\mathrm{AB} &=\mathrm{DC}\ldots \text{ given } \\ \mathrm{AC} &=\mathrm{AC}\cdots \text { common } \\ \angle D A C &=\angle BCA\cdots\text { given }
\end{aligned}\\
&\text{But it does not follow}\\
&\text{SSS, SAS, AAS and RHS}\\
&\text{So triangles are not congruent}
\end{align}
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