Question
Bella wants to use rigid transformations to show that △GHI≅△LKJ to illustrate the SSS triangle congruence criterion. Which of the following could she do first?
(1 point)
Responses
Translate △GHI along a vector that takes point I to point L.
Translate triangle upper G upper H upper I along a vector that takes point upper I to point upper L .
Translate △GHI along a vector that takes point G to point L.
Translate triangle upper G upper H upper I along a vector that takes point upper G to point upper L .
Translate △GHI along a vector that takes point G to point J.
Translate triangle upper G upper H upper I along a vector that takes point upper G to point upper J .
Translate △GHI along a vector that takes point I to point K.
(1 point)
Responses
Translate △GHI along a vector that takes point I to point L.
Translate triangle upper G upper H upper I along a vector that takes point upper I to point upper L .
Translate △GHI along a vector that takes point G to point L.
Translate triangle upper G upper H upper I along a vector that takes point upper G to point upper L .
Translate △GHI along a vector that takes point G to point J.
Translate triangle upper G upper H upper I along a vector that takes point upper G to point upper J .
Translate △GHI along a vector that takes point I to point K.
Answers
GPT-4o mini
To show that \( \triangle GHI \cong \triangle LKJ \) using rigid transformations and the SSS (Side-Side-Side) triangle congruence criterion, it's essential to align corresponding points and sides of the triangles.
Among the options provided, the best choice for the first transformation is:
**Translate \( \triangle GHI \) along a vector that takes point \( G \) to point \( L \).**
This choice directly aligns one vertex of triangle \( GHI \) (point \( G \)) with the corresponding vertex of triangle \( LKJ \) (point \( L \)), creating a clear foundation for the next rigid transformations to align the remaining points and sides. After this translation, you can subsequently translate to align sides according to the SSS criterion.
Among the options provided, the best choice for the first transformation is:
**Translate \( \triangle GHI \) along a vector that takes point \( G \) to point \( L \).**
This choice directly aligns one vertex of triangle \( GHI \) (point \( G \)) with the corresponding vertex of triangle \( LKJ \) (point \( L \)), creating a clear foundation for the next rigid transformations to align the remaining points and sides. After this translation, you can subsequently translate to align sides according to the SSS criterion.