Geometry: Learn to Solve Problems in Various Ways: Advanced Level

The proposed book is dedicated to solving the same problem in different ways. The number of provided methods ranges from 2 to 13, using original ideas and solution methods that contribute to enhancing the level and quality of knowledge necessary... for successfully passing the Unified State Exam in Mathematics at the advanced level and winning at various level Olympiads. Solving the same problem in different ways allows for a more thorough exploration of the properties of the geometric figure and the identification of the simplest solutions. The method found is often used later when solving more difficult problems. In this process, the student develops their creative abilities, forms cognitive interest, and develops research skills. The book contains three paragraphs, of which the first two include detailed solutions and justifications for planimetry problems. At the end of the second paragraph, there are problems for independent solution, with answers provided. The third paragraph presents selected problems applying the Pythagorean theorem, which are only mentioned in the geometry textbook. Additionally, the book contains brief theoretical information covering the entire geometry course for grades 7-9. The book is aimed at students in grades 7-11, applicants, mathematics teachers, tutors, and all math enthusiasts.