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 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. Translate triangle upper G upper H upper I along a vector that takes point upper I to point upper K . 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 .

Answer 1

To start demonstrating that triangle \( \triangle GHI \) is congruent to triangle \( \triangle LKJ \) using rigid transformations (specifically translations), Bella should align one corresponding point to another.

Since she is looking to use the SSS (Side-Side-Side) triangle congruence criterion, it makes sense to first translate triangle \( \triangle GHI \) so that one of its vertices matches a corresponding vertex in triangle \( \triangle LJK \).

The best option to start with would be translating \( \triangle GHI \) along a vector that takes point G to point L. This would set \( G \) at the position of \( L \) and allow her to then potentially show how the other two sides correspond via additional translations, satisfying the SSS criterion.

Thus, the correct choice would be:

Translate triangle \( \triangle GHI \) along a vector that takes point G to point L.

This translation aligns point \( G \) with point \( L \), allowing Bella to proceed with further transformations to illustrate congruence.