Question
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)
Option #? best describes the type of triangles necessary for justifying the SSS Congruence Theorem.
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)
Option #? best describes the type of triangles necessary for justifying the SSS Congruence Theorem.
Answers
GPT-4o mini
The best option that describes the type of triangles necessary for justifying the SSS Congruence Theorem is:
**Option #2: a pair of triangles with three pairs of congruent sides.**
This option accurately reflects the requirement for the SSS (Side-Side-Side) Congruence Theorem, which states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
**Option #2: a pair of triangles with three pairs of congruent sides.**
This option accurately reflects the requirement for the SSS (Side-Side-Side) Congruence Theorem, which states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.