AABC is congruent to AG HE. Describe a sequence of transformations from AABC to AGH E that proves their congruence.
One possible sequence of transformations is:
1. Reflect triangle ABC over a line passing through point A to create triangle A'B'C'.
2. Rotate triangle A'B'C' 180 degrees around point A to create triangle A''B''C''.
3. Translate triangle A''B''C'' to the right so that point B'' coincides with point G.
4. Reflect triangle A''B''C'' over a line passing through point A'' to create triangle AGH.
5. Rotate triangle AGH 90 degrees counterclockwise around point G to create triangle AGH'.
6. Translate triangle AGH' so that point H' coincides with point E.
This sequence of transformations proves the congruence of triangles ABC and AGHE, as each transformation preserves shape and size.