Dear Student!
The conditions or the criterions those are being used for the congruency of triangles are
⊗ SSS congruence criterion
If three sides of a triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent.
⊗ SAS congruence criterion
If two sides of a triangle and the angle included between them are equal to the corresponding two sides and included angle of another triangle, then the triangles are congruent.
⊗ ASA congruence criterion
If two angles and included side of a triangle are equal to the two corresponding angles and the included side of another triangle, then the triangles are congruent.
⊗RHS congruence criterion
If the hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle, then the triangles are congruent.
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