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Question

Two congruent triangles with different orientations are side by side. Their corresponding congruent sides are marked.

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 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 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 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 L.

Answer 1

To show that triangle \( \triangle GHI \) is congruent to triangle \( \triangle LJK \) using the SSS (Side-Side-Side) triangle congruence criterion, Bella needs to find a way to align corresponding points from both triangles.

The congruent sides of the two triangles imply that corresponding vertices should match up. Therefore, the best approach is to translate one triangle so that a vertex from one triangle matches up with the corresponding vertex from the other triangle.

To do this, translating triangle \( \triangle GHI \) along a vector that takes point \( G \) to point \( L \) is an effective first step, since \( G \) and \( L \) are corresponding points.

So, the correct response for Bella's first step is:

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