Symmedians and symmedian point in euclidean and hyperbolic geometry

This study consists of five main sections. The first section is devoted to the introduction. In the second section, we give necessary definitions and basic results in complex plane and extended complex plane. In the third section, symmedians and symmedian point are studied with their geometric properties in Euclidean geometry. In the fourth section, we present a new characteristic of general linear transformations by use of symmedian point of triangles. In the fifth section, some definitions and theorems related to the concept of symmedians and symmedian points in the hyperbolic plane are given.