👉 Reflections in mathematics, particularly in geometry and complex analysis, refer to the behavior of lines or curves when they intersect with a reflective surface or boundary, such as a mirror. In the context of reflections, the angle of incidence (the angle between the incident ray and the normal to the surface) equals the angle of reflection (the angle between the reflected ray and the normal). This principle is fundamental in optics, where it explains how light bounces off surfaces. In complex analysis, reflections can be understood through the properties of functions and their behavior under inversion in the complex plane, often leading to insights about symmetry and function transformations.
