What notation is used for dilations in transformation geometry?

In transformation geometry, the notation used for dilations is typically represented by the letter D. This notation signifies the transformation that either enlarges or reduces a figure relative to a fixed point known as the center of dilation. The scale factor, which determines how much the figure is enlarged or reduced, is often accompanied by this notation, for instance, D(scale factor, center of dilation).

Understanding dilation as a function of scale and center clarifies its application in various geometric contexts, such as similar figures and proportional reasoning. The correct designation helps in maintaining consistency and clarity when discussing or performing dilations in geometric transformations.