Determine the scale factor used in the dilation of line segment AB , centered at the origin.

A (2,3) -> B (4,1)
A(6,9) -> B(12,3)

The scale factor used in the dilation of line segment AB is 2. This can be determined by comparing the coordinates of point A and point B before and after the dilation. In both cases, the x-coordinate and y-coordinate of point B are double the x-coordinate and y-coordinate of point A, respectively. This indicates a dilation by a factor of 2.