N-sector properties of angles in a parallelogram Kristine B. Conge... [et. al]

Thesis (Bachelor of Science in Mathematics) -- University of Rizal System-Morong.

EXECUTIVE SUMMARY: This study aimed to determine the properties of bisector and trisector of the angle of a parallelogram and to simulate the geometric figure objective formed by the N-Sector using 3D application or graphical presentation. This study was conducted at University of Rizal System, Morong, Rizal during the academic year 2016-2017. The study used qualitative method since the primary purpose is to prove if the n-sector properties of angles in a parallelogram is the same as or analogous to the result of the n-sector of the angles of a square, rectangle and Rhombus. The researchers particularly planned to find out if the n-sector of the angle of a square, rectangle and rhombus is the same as or analogous to the n-sector properties of the angle of the parallelogram. The researchers used graphical presentation and 3D application (SkecthUp) to analyze if the four figures are same or analogous to each other. They conduct five cases which used to compare the four quadrilaterals. The result is obtained through the five cases. It concludes that parallelogram and rhombus are analogous when it comes to its diagonals. Parallelogram and rectangle both formed congruent triangles. The average sum of each sectoral area of parallelogram is 30ᵒ. When the 4 non-consecutive trisectors intersect, it forms parallelogram which is similar to rhombus. In general, in family of parallelogram when all the trisectors intersect, it formed, it formed octagon. Based on the summary of findings presented, the following recommendations are hereby presented; software can be used as alternative way in teaching geometry; figures may be used in real life situation; parallel study should be conducted using SketchUp software.