The coordinates of a point that maps to itself is (x, y)
How to determine the coordinates of a point that maps to itself
For a point to map to itself under a dilation centered at the origin, the scale factor must be 1.
This is because dilation simply enlarges or shrinks a figure by a certain factor, and a scale factor of 1 means that the figure is not enlarged or shrunk at all.
So, any point will remain in the same place under a dilation with a scale factor of 1.
Hence, the coordinates of a point that maps to itself is (x, y)