Geometry I 1000-135GM1

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.

R.A. Johnson ,,Advanced Euclidean Geometry"