A **transformation** is a change in the position, shape, or size of a figure. The blue triangle is larger and is in a different position than the black triangle.

A **rigid motion** is a transformation that changes only the position of the figure. The blue triangle has the same shape and size as the black triangle, but a different position.

An **image** is the result of a transformation of a figure. To identify the image of a point, use prime notation. The image of point *A* is *A*′] (read “*A* prime”).

**Intro**

A **translation**, or slide, is a rigid motion that moves every point of a figure the same distance and in the same direction.

Every point of the black triangle moves 5 units to the right and 5 units down.

**Example Recognizing and Describing Translations**

Find the transformation that is a translation. Describe in words the translation that maps Δ*ABC* to its image Δ*A*′*B*′*C*′.