Question

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

Explanation:

Step1: Recall Transformations

Reflection flips a figure over a line, dilation changes size, translation slides a figure without rotation/reflection.

Step2: Analyze the Image

The triangle \( \triangle XYZ \) is moved (slid) to \( \triangle X'Y'Z' \) with same shape, size, orientation—no flip or size change. So it's a translation.

Answer:

translation (the option "translation")