Let \(ABC\) and \(DEF\) be two triangles in which \(AB=DE,\) \(BC=FD\) and \(CA=EF.\) The two triangles are congruent under the correspondence \(ABC\leftrightarrow \).___

\(EDF\)

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In \(\Delta ABC\) and \(\Delta DEF\),.

\(AB=DE\), (given)

\(BC=FD\), (given)

and, \(CA=EF\). (given)

Thus, by \(SSS\) congruence criterion,

\(\Delta ABC\cong \Delta EDF\).

\(AB=DE\), (given)

\(BC=FD\), (given)

and, \(CA=EF\). (given)

Thus, by \(SSS\) congruence criterion,

\(\Delta ABC\cong \Delta EDF\).

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