The Focus of a Parabola

A ray falling onto a mirror will have a reflection such that:

the incident angle = the angle of reflection


Exercise

Show that a ray falling onto a parabola perpendicular to the directrix will be reflected to the focus point. In other words, show that α=β.

Image

by Malin Christersson under a Creative Commons Attribution-Noncommercial-Share Alike 2.5 Sweden License