In the context of rapid technological changes and modernization of society, the issue of ensuring adequacy of content in secondary education based on the use of advanced information technologies (ICT) is being updated. The necessity of an appropriate level of primary intellectual activity development in a person in terms of the current trends in society has been determined. In this regard, the goal of the article is to argue advantages of using software products in geometry lessons in the secondary education system of the Republic of Kazakhstan (RK). By the method of expert assessments, criteria for effectiveness of using ICT in geometry lessons have been developed to form applied geometric competencies in students. Functional advantages of certain software product types in the process of teaching geometry in secondary education have been substantiated. A set of practical tasks with the use of ICT for the academic discipline of geometry has been developed. Based on a pedagogical experiment, the effectiveness of using such ICTs in geometry lessons as Microsoft PowerPoint, Microsoft Excel and AutoCAD ensuring applied orientation of the academic discipline has been substantiated and proved. The main problems of introducing ICT in the educational process in the current context have been identified. A set of practical measures has been presented that would contribute to effective and extensive ICT absorption in the process of teaching geometry in secondary education. The presented scientific research findings will contribute to implementation of the advanced education concept and its computerization under the conditions of information society development.