AABC is congruent to AG HE. Describe a sequence of transformations from A ABC to AG HE that proves their congruence.

Question

(2 points)

Answer 1

1. Start with triangle ABC and reflect it across line AC to create triangle A'B'C'.
2. Rotate triangle A'B'C' 180 degrees counterclockwise around point A to create triangle A''B''C''.
3. Translate triangle A''B''C'' horizontally to the right by the length of side AB to create triangle AGH.
4. Reflect triangle AGH across line AG to create triangle AGH'E.

Therefore, triangle ABC is congruent to triangle AGHE by a sequence of reflections, rotations, and translations.