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

Answer 1

To show that triangles \( \triangle GHI \) and \( \triangle LJK \) are congruent using rigid transformations and the SSS (Side-Side-Side) congruence criterion, Bella should focus on matching a specific point from triangle \( \triangle GHI \) with a corresponding point in triangle \( \triangle LJK \).

Given the options, the most appropriate first step would be:

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

This is the correct choice because translating the triangle such that point G aligns with point L will help establish the correct positioning to then eventually show that the other points and sides match up to demonstrate congruence.