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 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.
To use the SSS triangle congruence criterion, we need to show that all three sides of one triangle are congruent to the corresponding sides of the other triangle. Therefore, Bella should first translate △GHI along a vector that takes point G to point J.
To show that △GHI is congruent to △LKJ using the SSS triangle congruence criterion, Bella could first translate △GHI along a vector that takes point G to point L.
To show that two triangles are congruent using the SSS (Side-Side-Side) criterion, we need to show that all corresponding sides of the triangles are congruent.
In this case, the triangles △GHI and △LKJ are congruent, and their corresponding congruent sides are marked.
To illustrate the SSS triangle congruence criterion, Bella can start by translating △GHI along a vector that takes point G to point J or translating the triangle △GHI along a vector that takes point G to point L.
By translating the triangle, we are preserving the shape and size but changing its position in space. Since the corresponding sides are marked as congruent, translating the triangle will align the corresponding sides of △GHI with △LKJ. This will allow us to visually see that all corresponding sides are congruent, which satisfies the SSS criterion.
So, Bella could first translate △GHI along a vector that takes point G to point J or translate it along a vector that takes point G to point L to illustrate the SSS triangle congruence criterion.