How do you locate the center of a dilation?
This question assumes a task of finding a center of dilation by something that is given.
See below the details about what should be given and how it can be used.
If a dilation (or scaling) is given, it is assumed that its center and a factor are given, so we can construct an image of any point.
If center of dilation is point
(c) Lengths of segments
If these two parameters, the center and the factor, are not known, something must be given to determine them.
The minimum required to determine them is a source and an image of two different points.
Assume we have two points
Since center of dilation
The intersection of these two lines (and they must intersect since we know that center
Incidentally, we can find a factor of dilation since we know the relative position of points