Glossary

English	Russian	Kazakh
Quadrilateral	Четырехугольник	Төртбұрыш
Vertex	Вершина	Төбесі
Convex	Выпуклый	Дөңес
Angle	Угол	Бұрыш
Square	Квадрат	Квадрат
Rhomb	Ромб	Ромб

Home task Lesson 1 ex 97, 98 Lesson 2 ex 101, ex 102

Individual work of student: Collection for preparing to examination Group 15 (15A16 –15A20).

Office–hours Geometry 8grade Шыныбеков А.Н. 2011, ex 21, 28 ( p 921-33)

Literature: Geometry 8grade Becboev Zh, 2012, [21-33], Collection for preparing to examination Group15

Additional literature Tulebaeva S.K. Geometry . 8 grade. Collections of problems

200]

Notes

Kazakh-American University Subject Mathematics Geometry Total 68 hours

Theme of the lecture Phales Theorem 2 hours/ week

Lecturer Grachyova Svetlana Semenovna. Profile Economics

Grade 8 Academic year 2014-2015 2 term

Lesson 13,14

Statement of theorem

If parallel lines cross one side of angle and cut equal segments, then they cut equal segments on the other side too.

Proof

Lets A_1, A₂, A₃ – points of crossing parallel lines with one side of angle. Lets denote B₁, B₂, B₃ corresponding points of crossing this lines with another side of angle. Prove that if A₁A₂=A₂A₃ than respectively B₁B₂= B₂B₃. Lets draw through point B₂ straight line of FE parallel to A₁A₂. According to the property of the parallelogram A₁A₂=FB₂, A₂A₃=B₂E. So if A₁A₂=A₂A₃ than FB₂=B₂E. Triangles B₁B₂F and B₂B₃E are equal according to the second test of equality. Really B₂F=B₂E, angles FB₂B₁=B₃B₂E as vertical angles, angles B₂FB₁ and B₂EB₃ are equal as interior alternate angles at parallel lines A₁B₁ and A₃B₃ and crossing line FE. From the equality of triangles B₂B₁F and B₂B₃F we can say that B₁B₂=B₂B₃. The theorem proved.

Task 1:

Divide segment into definite number of parts.

Glossary

English	Russian	Kazakh
Quadrilateral	Четырехугольник	Төртбұрыш
Vertex	Вершина	Төбесі
Convex	Выпуклый	Дөңес
Angle	Угол	Бұрыш
Square	Квадрат	Квадрат
Rhomb	Ромб	Ромб

Home task Lesson 1 task 128, 129 Lesson 1 task 132,133

Individual work of student: Collection for preparing to examination Group 15 (15B21 –15B22).

Office–hours Geometry 8grade Шыныбеков А.Н., 2012, ex 35 ( p 33-37)

Literature: Geometry 8grade Шыныбеков А.Н. 2012, [33-37], Collection for preparing to examination Group15

Additional literature Tulebaeva S.K. Geometry . 8 grade. Collections of problems

Notes