Triangle in a shifted category

In a category with a shift functor $[1]$, a triangle is a diagram

A morphism of triangles is a triple of morphisms between corresponding objects that makes all three resulting squares commute, including the square involving the shifted first object.

Rotating the triangle moves $Y$ to the first position and produces $Y\to Z\to X[1]\to Y[1]$, with a convention-dependent minus sign on the final map. A chosen subclass may be declared distinguished.