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

(1 point)
Responses

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 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 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.

Answer 1

To show that \( \triangle GHI \cong \triangle LKJ \) using rigid transformations (specifically translations), Bella should ideally start by aligning a point from \( \triangle GHI \) with a corresponding point from \( \triangle LKJ \).

In order to establish the congruence using the SSS (Side-Side-Side) triangle congruence criterion, a logical first step would be to match one of the vertices of \( \triangle GHI \) with a corresponding vertex in \( \triangle LKJ \).

The best option provided is:

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

This action will align one vertex \( G \) of triangle \( GHI \) with vertex \( L \) of triangle \( LKJ \), setting up the situation to further demonstrate the congruence by analyzing the lengths of the sides.

Thus, the correct response is:

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