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

Answer 1

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.