College Geometry

Please use: geogebra.org/geometry

Glide Reflections Construct a generic, scalene triangle ABC in GeoGebra. Then explore what happens when it is translated by a vector and then reflected by a line parallel to the vector. Notice that this composition is not equivalent to a single translation, reflection or rotation. Hence, it is given a name (Glide Reflection) and added to the list of "basic" isometries. A" D" B" C" n A D Since we define a glide reflection as the composition of a translation and a reflection over a parallel line, we need to show that a composition of a translation and a reflection in a non-parallel line is equivalent a glide reflection (or some other single isometry). Suppose we first translate the plane by the vector u = (4,3) and then reflect the plane over the y-axis. #6 What glide reflection is equivalent to this