ANSWER
FALSE
Step-by-step explanation
A dilation is a transformation that changes the size of an object. It could be an enlargement or a reduction.
The center of dilation is the point where the dilation rays come from. They pass through the original point as shown in the diagram below:
As we can see, point O is the center of dilation, point B is an image of point A and the ray that connects them is OB.
So, the center of dilation, the original point and its image actually line up on the same ray.
The statement is FALSE