Final answer:
A dilation is a transformation that changes the size of a shape without changing its shape. The scale factor determines how much the shape is enlarged or reduced. In this case, the correct vertices after the dilation depend on the original shape AUVw and the scale factor given in the question.
Step-by-step explanation:
To answer this question, we need to understand what a dilation is and how it affects the vertices of a shape. A dilation is a transformation that changes the size of a shape without changing its shape. The scale factor determines how much the shape is enlarged or reduced.
In this case, the dilation is centered at the origin, which means the origin (0,0) remains fixed while the other points are either stretched or compressed.
The correct vertices after the dilation depend on the original shape AUVw and the scale factor given in the question. Without more information, it is not possible to determine which vertices are correct.