What are transformations in geometry?

Transformations in geometry refer to operations that alter the position, size, or shape of a geometric figure. This includes various types of transformations such as translations, reflections, rotations, and dilations. The correct choice encompasses all of these operations, indicating that a transformation can modify the figure in different ways. For example, a figure can be moved to a different location without changing its size (translation), flipped over a line (reflection), turned around a point (rotation), or resized (dilation).

In contrast, some other options limit the definition of transformations too narrowly. For instance, one option speaks only about operations that change size, ignoring the essential aspect of changing position. Another option restricts the definition to just rotations, excluding other crucial types such as translations and reflections. Finally, focusing solely on reflections overlooks the broad range of transformations that encompass changing both position and size. Thus, the comprehensiveness of the chosen option accurately reflects the nature of transformations in geometry.