19.4k views
2 votes
Complete the statement: In a glide reflection, the direction of the ______ must be parallel to the line of reflection.

translation
rotation
glide reflection
reflection

User Rmanna
by
8.4k points

1 Answer

5 votes
The correct option is "translation"
In geometry, a glide reflection is a type of isometry of the Euclidean plane: the combination of a reflection in a line and a translation along that line. Reversing the order of combining gives the same result. Depending on context, we may consider a reflection a special case, where the translation vector is the zero vector. The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line. However, a glide reflection cannot be reduced like that. Thus the effect of a reflection combined with any translation is a glide reflection, with as special case just a reflection.
User FMc
by
8.2k points