Question

A _____ is the composition of a translation and a reflection across a line parallel to the direction of translation.

Answer 1

The correct term is glide reflection.

Explanation:

A Glide Reflection is the composition of a translation and a reflection across a line parallel to the direction of translation.

In a glide reflection, the first step is the application of translation on the given figure and then in the next step, the figure is reflected over the given line. Though it does not matter if we translate first and then reflect, or reflect first and then translate; the outcome will be same.

Answer 2

A Glide Reflection is the composition of a translation and a reflection across a line parallel to the direction of translation. This term Glide reflection is also commonly known in another term called transflectionfor it as a transformation of a geometric figure.