To determine the scale factor of a dilation of a line segment AB centered at the origin, we need more information about the coordinates of points A and B before and after the dilation.
However, we can infer potential scale factors based on the options given. Typically, the scale factor can be interpreted as follows:
- A scale factor greater than 1 (e.g., 2, 4) indicates an enlargement of the segment.
- A scale factor less than 1 but greater than 0 (e.g., 1/4) indicates a reduction of the segment.
- A negative scale factor (e.g., -4) would mean that the segment is not only dilated but also reflected across the origin.
Without specific coordinates or further details on how line segment AB is transformed, it's not possible to definitively determine the scale factor. Therefore, if you have the original coordinates of points A and B, I can help you calculate the scale factor based on that information.
If there are no specific transformations provided, you could choose among the responses based on typical usage in dilation scenarios. If you'd like to proceed with that information, please provide the coordinates for further assistance.