## Geometry and Trigonometry## Measurements and Transformations |

## What are geometric transformations? |

Geometric transformations are rules that mean there is a one-to-one correspondence between two sets of points in two figures. A geometric transformation changes the plane or three-dimensional space. Each transformation can be defined by thinking about where each point is “taken,” with a point said to be “taken to its image.”

One way to visualize a transformation is to think of expanding, shrinking, or moving one figure to get a second figure. Depending on the transformation, the image will either be congruent (equal) to the original image (called the *identity transformation),* similar but not necessarily equal, or will not resemble the original at all.