A translation is a transformation that moves all points of the original figure the same distance in the same direction.
A rotation is a transformation about a fixed point called the center of rotation, through a specific angle, and in specific direction. Each point of the original figure and its image are the same distance from the center.
To determine the type of transformation, let's analyze the positions of the vertices and their images on the given diagram.
As we can see, each vertex and its image are in the same position, but 5 units right and a half a unit up. Therefore, this is a translation.
