Final answer:
c) Translation followed by a rotation This method maintains the integrity of the shape while changing its location and orientation to produce the desired outcome.
Step-by-step explanation:
The sequence of transformations that maps AABC to AABC is a translation followed by a rotation. Initially, a translation moves the figure to a new location, changing its position but not its orientation. Subsequently, a rotation repositions the figure by rotating it around a fixed point. This sequence, first shifting the shape's location and then rotating it, maintains the figure's shape and size while altering its position and orientation.
Translations involve moving an object without changing its shape or orientation. This initial step relocates the figure, ensuring its placement at a different location. Following this, a rotation modifies the figure's orientation by turning it around a specified point, allowing it to assume a different orientation while preserving its size and shape. Thus, the sequence of a translation followed by a rotation accurately maps AABC to AABC, aligning its position and orientation accordingly.
Combining these transformations in this specific order ensures that the resulting figure AABC retains its shape and size while being repositioned and reoriented to match the original figure AABC. This method maintains the integrity of the shape while changing its location and orientation to produce the desired outcome. ""