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”).
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 ΔABC to its image ΔA′B′C′.