To be sure that a figure is a scaled copy there are some features we need to check:
One of them, is that no matter what, the angles of the figure must conserve the same measure to the original one.
Another one, is that the lengths of the sides of the figure, must conserve the same proportions compared to the original one (this is the scale factor).
And those are the most important features to check to know if a figure is a scaled copy.
I will show you an example:
The rectangle ABCD is a figure. Check if the rectangle EFGH is a scaled copy.
The angles of the rectangle EFGH are equal to the ones of ABCD. Nevertheless, it is necessary to check if they conserve the same proportions.
The ratio of segment AB to segment EF is 1:2. And the ratio of segment BD to segment FH is also 1:2.
The ratio of the segment AB to segment AC is 1:2. The ratio of segment EF to segment EG is also 1:2.
Once we check these feauture, we can be sure that rectangle EFGH is a scaled copy of rectangle ABCD.