If you want to use rigid transformations to justify the SSS Congruence Theorem, what type of triangles do you need to start with? Option #1: a pair of triangles that each have three congruent sides Option #2: a pair of triangles with three pairs of congruent sides Option #3 a pair of triangles with all side lengths given Option #4: a pair of triangles with all the side lengths given and all angles given Option # blank best describes the type of triangles necessary for justifying the SSS Congruence Theorem

1 answer

The option that best describes the type of triangles necessary for justifying the SSS (Side-Side-Side) Congruence Theorem is:

Option #2: a pair of triangles with three pairs of congruent sides.

This is because the SSS Congruence Theorem states that if all three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. Thus, starting with triangles that have three pairs of congruent sides is essential for this theorem's justification.