A. Background of the Study

Simple studies in Mathematics can develop simple equations or simple answers. But then, with the use of these, new eminent genres of products are produced. Mathematics investigation also contributes in the production of new concepts or to make complicated equations, a simpler one to relief the burden of the students. The researcher believes that Mathematics has not been widely used in research studies, and there are still many hidden patterns or equations that are not yet discovered. She also believes that her research about the relation of points and line segments may be a great help in constructions or to other fields. Because of these reasons, the researcher conducted this study entitled, “The Number of Line Segments Formed in Connecting Given Numbers of Points.”

In this study, the researcher gives different sets of points which are of different numbers. These points are arranged in a form of polygon to avoid confusions. And then, the points are connected by lines. After the investigation had done, the researcher was able to find the pattern and formulated an equation.