Final answer:
The scale factor can be found by comparing corresponding lengths between the solid and dashed-line figures. The correct scale factor is the ratio of the solid figure's side length to the dashed figure's side length.
Step-by-step explanation:
The task at hand is to find the scale factor for the dilation given that the solid-line figure is a dilation of the dashed-line figure, with a labeled point as the center of dilation.
To find the scale factor, we must compare corresponding lengths in the solid and dashed-line figures. If, for example, a side of the dashed figure measures 2 units and the corresponding side of the solid figure measures 6 units, the scale factor would be the ratio of the solid figure's side length to the dashed figure's side length, which is 6/2 or 3. This means the solid figure is 3 times larger than the dashed figure, implying option B. 3, is the correct scale factor.
If instead the solid figure's side length was smaller than the dashed figure's, say 2 units for the dashed figure and 1 unit for the solid figure, the scale factor would be 1/2, indicating the solid figure is half the size of the dashed figure, meaning option D. 1/2, would be the correct scale factor.