The statement "Two triangles with different perimeters congruent" is never true.
This is because the perimeter of a triangle is the sum of the lengths of its sides. If two triangles have different perimeters, it means that the sum of the lengths of their sides is different.
For two triangles to be congruent, they must have the same shape and size, which means that their corresponding sides and angles are equal. If two triangles have different perimeters, it implies that at least one of their corresponding sides is not equal in length. Therefore, the triangles cannot be congruent.
So, it is never true that two triangles with different perimeters are congruent.