what is the sequence of transformations needed to move triangle ABC to triangle EGH to show that the triangles are congruent ?

Answer 1

To show that triangle ABC is congruent to triangle EGH, the following sequence of transformations can be used:
1. Translate triangle ABC to the right by 3 units to form triangle A'B'C'.
2. Rotate triangle A'B'C' clockwise by 120 degrees about point G to form triangle A''B''C''.
3. Reflect triangle A''B''C'' over the line containing points G and H to form triangle EGH.

After these transformations, triangle ABC will be congruent to triangle EGH.