Question
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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.
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.
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 clearly indicates that each triangle must have three sides that are congruent to the corresponding sides of the other triangle, which directly relates to the SSS (Side-Side-Side) Congruence Theorem.
**Option #2: a pair of triangles with three pairs of congruent sides.**
This option clearly indicates that each triangle must have three sides that are congruent to the corresponding sides of the other triangle, which directly relates to the SSS (Side-Side-Side) Congruence Theorem.