Two triangles have five pairs of congruent parts, but still, the triangles are not congruent.
False
A triangle has six elements - three sides and three angles. If five of them are congruent, then the sixth part will also be congruent. Because when 5 pairs are congruent they will at least satisfy one of the SSS, SAS, ASA, AAS criteria.
And hence, the triangles are congruent.