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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.