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 side lengths given and all angles given (1 point)

Answer 1

To justify the SSS Congruence Theorem using rigid transformations, you need:

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

This is because the SSS (Side-Side-Side) Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. The rigid transformations (such as translations, rotations, and reflections) can be applied to show that one triangle can be perfectly overlapped onto the other based on the congruent sides.