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 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 .

Answer 1

To use rigid transformations to show that triangle $\mathrm{△}GHI\cong \mathrm{△}LKJ$ by the SSS (Side-Side-Side) triangle congruence criterion, Bella can start by translating triangle $\mathrm{△}GHI$ to match the orientation of triangle $\mathrm{△}LKJ$.

The best first step would be to translate $\mathrm{△}GHI$ along a vector that takes point $G$ to point $J$. This translation aligns the corresponding vertices $G$ and $J$, which helps in showing the side lengths correspond and facilitates further transformations (like rotations or reflections) if needed.

So the correct response is: Translate $\mathrm{△}GHI$ along a vector that takes point $G$ to point $J$.