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) translate △ghi along a vector that takes point i to point k. translate △ghi along a vector that takes point i to point l. translate △ghi along a vector that takes point g to point j. translate △ghi along a vector that takes point g to point l.

Explanation:

To show $\triangle GHI\cong\triangle LKJ$ using SSS (Side - Side - Side) congruence criterion with rigid transformations, we first need to align one of the corresponding vertices. To start the process of super - imposing the two triangles, we should translate $\triangle GHI$ so that one of its vertices coincides with the corresponding vertex of $\triangle LKJ$. The most logical first step is to translate $\triangle GHI$ along a vector that takes a vertex of $\triangle GHI$ to the corresponding vertex of $\triangle LKJ$. Since we want to match the triangles, we should translate $\triangle GHI$ along a vector that takes point $G$ to point $L$ as they are corresponding vertices.

Answer:

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