A rectangular piece of paper is folded in the middle, horizontally and vertically, to denote the rectangular coordinate axes. Another fold is made to denote y = - 1. Two points are constructed -- Point M on (0,1) and point P on (0,-n).
Fold the paper through P (by moving point P in the applet) such that point M is on y = -1 (by moving point Q in the applet).
Problem: Prove that if point P is at (0,-n), then the intersection of the fold and the x-axis is at .
The discussion of the mathematics behind this applet and the ggb file will be available for download this week at Mathematics and Multimedia.