Final answer:
Dilating point B using point P with a scale factor of 2 means the position of B' will be twice the distance from P compared to the original distance from P to B.
Step-by-step explanation:
The question involves dilating point B using point P as the center of dilation with a scale factor of 2, resulting in a new point labeled as B'. When you dilate a point using another point as the center of dilation, you are essentially creating a larger or smaller version of that point's position based on the scale factor. In this case, the distance from P to B will be doubled to find the location of B'. The general process for dilation in a geometric sense includes multiplying the original distance by the scale factor to find the distance of the new point from the center of dilation. If we presume B is at a certain distance from P, then B' will be at twice that distance from P in the same direction.