Geometry I 1000-135GM1
Congruence of plane figures.
Similarity of plane figures.
Selected properties of triangles.
Homotethy.
Isometries of the plane.
Similarities of the plane.
Type of course
Course coordinators
Term 2024Z: | Term 2023Z: |
Learning outcomes
Students:
- prove and use basic theorems involving congruence and similarity of plane figures;
- are familiar with basic theorems involving the properties of angles in circles, inscribed and circumscribed triangles, quadrilaterals and other polygons;
- know and use theorems involving properties of parallel lines cutting an angle;
- prove and use formulas for areas of common plane figures;
- are familiar with relationships and theorems involving special lines in triangles and use them to solve problems;
- understand and use the main theorems about homotethies, isometries and similarities of the Euclidean plane and their properties.
Bibliography
R.A. Johnson ,,Advanced Euclidean Geometry"
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: