JUST AN ASSIGNMENT

THE NUMBER OF LINE SEGMENTS CONNECTING EQUAL NUMBER OF
POINTS IN THE SIDES OF REGULAR POLYGONS

Abstract
This research study aimed to derive a formula in getting the number of line segments formed by connecting the equal number of point/s located on each side of a regular polygon.
The researcher identified the regular polygons to be used, drew the point/s on the sides and connected these points. He then made lists and tables to see if there is a relationship between the variables in the problem. Patterns were observed that made possible the researcher to make some conjectures. After trying the conjectures on other polygons, he was able to come up with a generalization. The rule was translated into symbols: S= p^2{[n (n)]/2}. It was then proved using other principles.