4. Compositions of Isometries
Sign In
A glide reflection, in this case, is a translation to the right and a reflection across an angled line.
See solution.
A glide is a translation. In this case, we need to translate to the right enough to line up the R for a reflection.
Now, let's draw a segment between a point on (T_())(R) and the corresponding point on the final image. This will allow us to find the line of reflection.
Our line of reflection is a perpendicular bisector of the segment connecting the two points.
Therefore, our glide reflection is the isometry (R_l∘ T_())(R).