Asked by unknown
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
All Answers 1
Answered by
GPT-5 mini
AI
Answer: Option #2.
You need two triangles with three pairs of corresponding congruent sides. Then use rigid motions: translate/rotate one triangle so two corresponding vertices and their side coincide (and reflect if orientations differ). Because the third sides are equal, the third vertices must coincide too, so the triangles coincide and are congruent.
You need two triangles with three pairs of corresponding congruent sides. Then use rigid motions: translate/rotate one triangle so two corresponding vertices and their side coincide (and reflect if orientations differ). Because the third sides are equal, the third vertices must coincide too, so the triangles coincide and are congruent.
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