Ж.Юсупов, С.Зәуірбеков. Геометрия 8-сынып, 2004

Chapter I. Quadrilaterals

§ 1. Quadrilateral. Parallelogram

1. Quadrilateral

2. Parallelogram

§ 2. Rectangle. Rhombus. Square

3. Rectangle

4. Rhombus

5. Square

§ 3. Midline of a triangle. Trapezoid

6. Midline of a triangle

7. Trapezoid

§ 4. Notable points of a triangle

8. Intersection point of triangle angle bisectors

9. Intersection point of perpendicular bisectors

10. Intersection point of triangle altitudes

11. Intersection point of triangle medians

Additional exercises for Chapter I

Chapter II. Areas of triangles and quadrilaterals

§ 1. Area of a rectangle

12. Concept of area of a plane figure

13. Area of a rectangle

§ 2. Area of a triangle

14. Area of a right triangle

15. Area of any triangle

§ 3. Area of a parallelogram and trapezoid

16. Area of a parallelogram

17. Area of a trapezoid

Additional problems for Chapter II

Chapter III. Metric relations in a triangle

§ 1. Relations between sides and angles of a right triangle

18. Sine, cosine and tangent of an acute angle of a right triangle

19. Pythagorean theorem

20. Perpendicular and oblique line

21. Basic trigonometric identity. Values of sine, cosine and tangent of 30, 45 and 60 degree angles

§ 2. Relations between sides and angles of any triangle

22. Trigonometric functions sine and cosine

23. Sine theorem

24. Cosine theorem

Additional exercises for Chapter III

More difficult problems and additional problems

Chapter IV. Vectors

§ 1. Concept of a vector

25. Concept of a vector

26. Codirectional vectors. Equality of vectors

27. Oppositely directed vectors

§ 2. Operations with vectors

28. Addition of vectors

29. Difference of vectors

30. Multiplication of a vector by a number

Properties of multiplying a vector by a number

Additional exercises for Chapter IV

Answers and hints

Subject index