Final answer:
Reflection. it's the final step in the sequence of transformations that completes the mapping from ΔABC to ΔAABC after the initial transformations that mapped ΔDABC onto ΔABC.
Explanation:
The transformation that maps ΔDABC onto ΔABC is followed by a reflection. A reflection across a line is a transformation that flips a figure over that line, essentially mirroring it. In this context, after the sequence of transformations that maps ΔDABC onto ΔABC, a reflection is the subsequent step needed to complete the sequence that maps ΔABC to ΔAABC.
When we perform transformations on geometric figures, they alter the figure's position, orientation, or size. The initial sequence of transformations, likely involving rotations, translations, or combinations of these, brought ΔDABC to ΔABC. To achieve the transformation from ΔABC to ΔAABC, the subsequent step, a reflection, is necessary.
Reflections are crucial in geometry, particularly in transformational geometry, as they help visualize how figures change position or orientation relative to a line of reflection. In this case, it's the final step in the sequence of transformations that completes the mapping from ΔABC to ΔAABC after the initial transformations that mapped ΔDABC onto ΔABC.