What is the sequence of transformations needed to move triangle ABC to triangle EGH to show that the triangles are congruent
To show that two triangles are congruent, we need to demonstrate that they have the same shape and size. There are several sequences of transformations that can be used to show that triangle ABC is congruent to triangle EGH, but here is one possible sequence of transformations:
1. Translation: Move triangle ABC so that point A coincides with point E.
2. Translation: Move triangle ABC so that point B coincides with point G.
3. Translation: Move triangle ABC so that point C coincides with point H.
After these three translations, triangle ABC will be transformed into triangle EGH. The triangles will have the same shape and size, thus proving that they are congruent.