APPLICATION OF COMPLEX NUMBERS TO THE EXPLORATION OF QUADRILATERAL FLAT SHAPES

Abstract

The representation of complex numbers as points in the plane also helps in solving mathematical problems related to geometry, such as geometry problems in the plane, such as the condition that two line segments are parallel, and others. The purpose of this research is to explore the concept of complex analysis on rectangular flat shapes. Then, finding solutions to geometry problems using the concept of complex numbers. This research uses a qualitative approach with a focus on literature studies, namely conducting a review of the existing literature on the application of complex numbers in plane geometry, especially in quadrilateral flat shapes. Data validity uses triangulation techniques to check the quality of data that has been obtained from various sources. Data analysis techniques follow the model of Miles, Huberman, and Saldana, namely data condensation, data display, and conclusion drawing. The results of this study show that there are special properties of parallelograms, determination of the result of mirroring a point to a certain line, determination of the location of the high point of a triangle if the three angles are known and the last two types of questions discussed are OSAMO 2015 No. 2 and OSN SMA 2009 questions about proving two perpendicular line segments and 4 certain points form a quadrilateral talibusur. The contribution of this research is to provide an understanding of the relationship between complex numbers and plane geometry, especially in the context of exploring quadrilateral flat shapes. As well as developing new or alternative approaches in analyzing quadrilaterals that can broaden students' or readers' horizons and mathematical skills in understanding the concept.

Keywords: geometry, complex numbers, quadrilaterals, flat shapes.