Let be a line in R2. A glide reflection is an affine map on R2 composed of

Question:

Let „“ be a line in R2. A glide reflection is an affine map on R2 composed of a translation in the direction of „“ by a distance d followed by a reflection through „“.

Let ℓ be a line in R2. A glide reflection

Find the formula for a glide reflection along
(a) The x axis by a distance 2,
(b) The line y = x by a distance 3 in the direction of increasing x,
(c) The line x + y = 1 by a distance 2 in the direction of increasing x.