Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal. This is Known as AAS Congruency.
For given two triangles, \(\angle\) A = \(\angle\) X and \(\angle\) C = \(\angle\) Y, AB = XZ , then using AAS rule, \(\Delta\) ABC ≅ \(\Delta\) XYZ.
What is SAS (Side Angle Side) Congruence Rule ?
What is RHS (Right angle Hypotenuse Side) Congruence Rule ?
What is SSS (Side Side Side) Congruence Rule ?