Geogebra and problems of tangent circles

There are many mathematical programmes for teaching and learning geometry from middle school to the university level. Dynamic software package Geogebra can help students to explore and understand more concepts in geometry on their own. In this paper we are concentrating in one of the most interesting and less known two-dimensional transformations like inversion with respect to a circle supported by GeoGebra. The use of this transformation through GeoGebra makes possible a number of elegant solutions to classical construction problems in geometry. Contribution of this paper is presentation of some problems which require the construction of the circle tangent to given circles.