Determine the scale factor used in a dilation of line, segment AB centered at the origin?(a) -4 (b) 2

To determine the scale factor used in a dilation of line segment AB centered at the origin, we need to find the ratio of the length of the dilated segment to the length of the original segment.

If the scale factor is -4, it means that the dilated segment is 4 times the length of the original segment. So, the scale factor is 4.

If the scale factor is 2, it means that the dilated segment is 2 times the length of the original segment. So, the scale factor is 2.

Therefore, the scale factor used in the dilation of line segment AB centered at the origin is:

(b) 2