Final answer:
In the translation T(x+2, y-6) from AABC to A'B'C', segment AA' and BB' are parallel to each other, since translations maintain shape and orientation by moving all points the same distance in the same direction.
Step-by-step explanation:
The student's question pertains to a transformation in geometry, specifically a translation. In the case of a translation of a shape such as triangle AABC by T(x+2, y-6) to form A'B'C', the relationship between line segment AA' and BB' would be that they are parallel to each other. This is because a translation moves every point of a figure the same distance in the same direction, which maintains the orientation and shape of the figure. Therefore, if AA' is the translation from A to A', then BB' will be the translation from B to B', both moving the same distance and in the same direction, preserving parallelism.