AABC is congruent to AGHE. Describe a sequence of transformations from AABC to
AGH E that proves their congruence.
To prove their congruence, we need to show that AABC can be transformed into AGHE through a series of congruence-preserving transformations (translations, rotations, and reflections).
1. Start by translating AABC horizontally and vertically so that vertex A coincides with vertex A' in AGHE.
2. Next, rotate AABC counterclockwise around the center of A' to align side AB with A'G.
3. Reflect AABC over side AB to superimpose side AB onto side A'G. This reflection also preserves the congruence of side AC and A'C.
4. Finally, rotate AABC counterclockwise around the center of A'G to align side AC with A'H.
By performing these transformations, we transform AABC into AGHE while preserving their congruence.