The scale or enlargement factor.
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You need the original shape, the scale of enlargement and the centre of enlargement.
It is an enlargement
A shape is said to be self-similar if it will map onto an enlargement of a part of itself.
It is when u are making a shape bigger by its centre
An enlargement is a transformation which changes the size of an object without changing its shape, rather as a projector enlarges the details of a photographic slide onto a screen.