Question

a transformation named t maps △xyz to △xyz. the transformation shown is a reflection dilation translation

Explanation:

Step1: Analyze Reflection

A reflection would flip the triangle over a line, creating a mirror image. The triangles here don't show a flip, so not reflection.

Step2: Analyze Dilation

Dilation changes the size of the figure (scaling up or down). The triangles appear to be the same size, so not dilation.

Step3: Analyze Translation

Translation is a slide (horizontal, vertical, or both) without changing size, shape, or orientation. The triangle $\triangle XYZ$ is moved to $\triangle X'Y'Z'$ with the same size, shape, and orientation, just shifted. So it's a translation.

Answer:

translation (the option "translation" among the choices)