abc is congruent to ghe describe a sequence of transformations from abc to ghe that proved their congruence
1. Translation: Move point A to point G by translating triangle ABC along vector AG.
2. Rotation: Rotate the translated triangle about point G until point B coincides with point H.
3. Reflection: Reflect the rotated triangle across line GH to make point C coincide with point E.
After these three transformations, triangle ABC will have been transformed into triangle GHE, proving their congruence.