Coverage:

• Section I. Elementary geometric figures and their properties. Mutual placement of lines on the plane.

• § 1. Geometric shapes. Point, line, ray.
• § 2. Segment. Measuring and plotting segments. The distance between two points.
• § 3. Angle. Measuring and plotting angles. The bisector of the angle.
• § 4. Parallel lines.
• § 5. Adjacent angles and their properties.
• § 6. Vertical angles and their properties. Perpendicular lines. The angle between two lines.
• Results.

§ 7. Triangle and its elements. Equality of geometric shapes.
• § 8. The first sign of equality of triangles and its application.
• § 9. Perpendicular to a line. The distance from a point to a line.
• § 10. The second sign of equality of triangles and its application. <11. Types of triangles. Isosceles triangle, its property and sign.
• § 12. Median, bisector and altitude of a triangle. Properties and signs of an isosceles triangle associated with them.
• § 13. The third sign of equality of triangles and its application.
• § 14. The angles formed by the intersection of two lines with a transversal. Signs of parallelism of lines. <15. Properties of the angles formed by the intersection of parallel lines with a transversal.
• § 16. The sum of the angles of a triangle. The external angle of a triangle.
• § 17. Right-angled triangles. Signs and properties of right triangles.
• § 18. The relationship between the sides and angles of a triangle. Inequality of a triangle.
• Results.

§ 19. Circle and circle.
• § 20. Tangent to the circle, its property and sign.
• § 21.* Problem for construction and its solution. Basic construction problems.
• § 22. Geometric place of points. <23. Described and inscribed circles of a triangle.
• Summary.
Appendices.Answers and directions.Subject index.