Studying for a final in my Euclidean geometry class and I'm having difficulties understanding how my book/professor explained Euclidean isometries.
He wants us to understand the classification of the rigid motions (translations, rotations, reflections, and glide-reflections) through their expressions using complex numbers.
I understand conceptually how these transformations work, but I'm not sure how to interpret them as complex functions. If someone could help me with this, I would really appreciate it.