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 .

1 answer

To use rigid transformations to show that triangle \( \triangle GHI \cong \triangle L KJ \) by the SSS (Side-Side-Side) triangle congruence criterion, Bella can start by translating triangle \( \triangle GHI \) to match the orientation of triangle \( \triangle L KJ \).

The best first step would be to translate \( \triangle GHI \) along a vector that takes point \( G \) to point \( J \). This translation aligns the corresponding vertices \( G \) and \( J \), which helps in showing the side lengths correspond and facilitates further transformations (like rotations or reflections) if needed.

So the correct response is: Translate \( \triangle GHI \) along a vector that takes point \( G \) to point \( J \).