Bella wants to use rigid transformations to show that AGHI = ALK J to illustrate the SSS triangle congruence criterion.

Question

Which of the following could she do first?
(1 point)
O Translate AG HI along a vector that takes point G to point L
• Translate AGHI along a vector that takes point G to point J
• Translate AGH I along a vector that takes point I to point K
Translate AG HI along a vector that takes point I to point L

Answer 1

To show that triangles AGHI and ALKJ are congruent using rigid transformations, Bella needs to align corresponding points of the triangles effectively. The most appropriate first step would be to translate the triangle AGHI in a way that positions it to coincide with triangle ALKJ.

Among the options provided, the best choice to start with would be:

Translate AGHI along a vector that takes point G to point J.

This move is beneficial because it aligns one of the triangle's vertices (G) with a corresponding vertex (J) in the other triangle (ALKJ), allowing the subsequent transformations to align the remaining points accordingly.