"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?
(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.
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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