“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent.”

Question:

“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent.”
Is the statement true? Why?

Solution:

No, the statement is not true because the two triangles are congruent only by SAS congruence condition but the statement contains ASS or SSA condition as well which are not any condition for congruence of triangles.

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