"If two angles and a side of one triangle are equal to two angles and a side of another triangle,then the two triangles must be congruent." Is the statement true? Why?

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(A) The statement is true,provided that the side is the included side between the two angles ($ASA$ Congruence Rule) or the side is corresponding to the same relative position in both triangles ($AAS$ Congruence Rule).
If two angles and any side of one triangle are equal to the corresponding two angles and the corresponding side of another triangle,the triangles are congruent by the $AAS$ (Angle-Angle-Side) congruence criterion.
Therefore,the condition of correspondence is essential for the triangles to be congruent.

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