To justify the SSS (Side-Side-Side) Congruence Theorem using rigid transformations, you need to start with triangles that have three pairs of congruent sides. This is because the SSS Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, the two triangles are congruent.
Thus, the correct answer is: Option #2: a pair of triangles with three pairs of congruent sides.