There are several different ways and the answers depend on what is known about the triangles.
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It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
A triangle having 3 congruent sides is an equilateral triangle
right triangle
HyL Congruence Theorem : if a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangle,then the triangles are congruent._eytiin cu ;)
SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).