Question

Use the image to answer the 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)ResponsesTranslate △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 triangles \( \triangle GHI \) and \( \triangle LJK \) are congruent using rigid transformations, Bella can start by aligning one point of \( \triangle GHI \) with the corresponding point of \( \triangle LJK \).

Since we need to match point G to point L first (as they are corresponding vertices), the correct first step would be:

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

This action will align the triangles properly so that Bella can further demonstrate the congruence through additional rigid transformations if necessary.