Question

Triangle ABC is congruent to triangle GHE. Describe a sequence of transformations from triangle ABC to triangle GHE that proves their congruence.

Answer 1

One possible sequence of transformations could be:

1. Translation: Move triangle ABC to overlap with triangle GHE so that point A coincides with point G, point B coincides with point H, and point C coincides with point E.
2. Rotation: Rotate the translated triangle so that side AB coincides with side GH and side BC coincides with side HE. This rotation should be centered at the overlapping point A (or G).
3. Reflection: Reflect the rotated triangle over the line that contains side GH to fully align triangle ABC with triangle GHE.

After these three transformations, triangle ABC would be congruent to triangle GHE.