What is an scale factor in geometry?

A scale factor in geometry is a number that describes how much a figure is enlarged or reduced to create a similar figure. It is the ratio of the lengths of corresponding sides of two similar geometric shapes. For example, if the scale factor is 2, the new shape is twice the size of the original; if it is 0.5, the new shape is half the size. Scale factors are essential in applications like map reading, model building, and architectural design.