The SSS Congruence Theorem Quick Check 2 of 52 of 5 Items Question Use the image to answer the question. 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 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 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 L. Translate triangle upper G upper H upper I along a vector that takes point upper G to point upper L . Skip to navigation page 15 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To show that △GHI ≅ △LKJ using rigid transformations, Bella should look for a transformation that aligns one of the vertices of triangle GHI with one of the vertices of triangle LJK. The SSS (Side-Side-Side) congruence criterion states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

The best first step would likely be to translate one of the points of triangle GHI to a corresponding point in triangle LJK.

Among the options provided, the most logical first move would be:

Translate △GHI along a vector that takes point G to point L.

This choice puts one of the vertices of triangle GHI in position to correspond with the vertex of triangle LJK, facilitating the transition to congruence since the triangles’ sides can be compared from there.