🔺ABC is congruent to 🔺GHE. Describe a sequence of transformations from 🔺ABC to 🔺GHE that proves their congruence.
To prove the congruence between triangles ABC and GHE, we need to show that all corresponding sides and angles are congruent. We can achieve this through a sequence of transformations. Here is one possible sequence:
1. Translation: Move triangle ABC by shifting it to align with triangle GHE. This ensures that point A coincides with point G, B coincides with H, and C coincides with E.
2. Rotation: Rotate triangle ABC around the coincident point G (or A) until angle BAC aligns with angle GHE.
3. Reflection: Reflect triangle ABC over a line passing through point G (or A), so that the image of B coincides with image H and image C coincides with image E.
After performing these three transformations, triangle ABC becomes congruent to triangle GHE.