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?

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.

GPT-4o mini · Answer

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.