Atransformation named t maps triangle xyz to triangle x'y'z'. the transformation is a(n)

The transformation is called Translation.

Step-by-step explanation:

We have different types of transformation:

Translation: A translation or slide is an isometry in which all points of a figure move the same distance and in the same direction.

Reflection: A reflection is an isometry in which the preimage and the image have opposite orientations. In other words, the image appears backwards.

Rotation: A rotation is an isometry in which a figure has been rotated or turned around a point called center of rotation.

Dilation: A dilation could be an enlargement or a reduction.

In Geometry, "Translation" simply means Moving without rotating, resizing or anything else, just moving.

To Translate a shape: Every point of the shape must move;

   the same distance

   in the same direction.

So, in this question XYZ translate to since every point move in the same distance and same direction.