Name for geometry that differs by a translation I have a simplistic question:  If I have two triangles, and there exists a translation that makes them equivalent (all their vertices would be the same after the translation), then is there a special term in geometry that I would use to describe the relationship between the two triangles?

They say the translate.
See https://en.wikipedia.org/wiki/Translation_(geometry):
"If $T$ is a translation, then the image of a subset $A$ under the function $T$ is the translate of $A$ by $T$. The translate of $A$ by $T_v$ is often written $A + v$."
