Presentation before the lesson "sum and vertical cuts" presentation before the lesson in geometry (Grade 7) on the topic. Presentation "summary and vertical cuts"

02.05.2022

For vimir kutiv vikoristovuyut protractor. What kind of instrument can be vicorated for the world of kutiv?

A B i s e c t r i c a I IIII I IIII I IIII I IIII I IIII I IIII I III III III III III III III III III III III III III III III III III III III I IIII I III III III III III III III III III III III III III III III III III III III III III III AOB = 70 0 BO

Vidi kutіv hostry kut Name of the kut Figure Degree sunset
What kind of kut makes the crow's job, if: "Crow sir at the company of trimal?" And if "The crow croaked at the top of its throat?"

A O V Z Kut is stupid for a gostry kut. 1. One of the sides of the kut is extended for the yogo top. 2. Kut AOS, scho wiyshov, є sumіzhnym z kut AOB. I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I III III III III III III III III III III III III III III III III

Theorem. The sum of summіzhnyh kutіv drіvnyuє SO A B

1300? Solution: _blank" href="http://images.myshared.ru/26/1289193/slide_20.jpg" alt="Design. Two kuti are called vertical, as the sides of one kut are prolongated and change to the other side. B C A O D" title="Appointment. Two kuti are called vertical, as the sides of one kut are protile and change to the other side. B C A O D" class="link_thumb"> 20 !} !}

A O B I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I III I III III III III III III III III III III III III III III III III III III III III III III III IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I III III III III III III III III III III III III III III III III III III III III III III III III III III III III III 2. Continue the skin side of the cut behind the yogo top.

Power of vertical lines A O D B C Theorem. Vertical cuts are equal. Given: AOD and COB are vertical. Bring: AOD = COB Proof. Leather cut AOD and COB є sum_zhnym cut AOB. For the number of cuts: AOD + AOB = 180 and COB + AOB = 180. May: AOD = 180 - AOB and COB = 180 - AOB, also, AOD = COB
Finish the proposition If one of the summіzhny kutiv reaches 50 °, then the other one is more ... Kut, summary with a straight line, ... If one of the vertical kutіv is straight, then the other ... Kut is the summіzhny іz hospitality ... Like one of the vertical kutіv is good є 25 °, then another cut is more ... ° 130 ° straight blunt ° 25 °

Theme of the lesson: Sumіzhnі and vertical kuti.

Objectives of the lesson:
Learn from the understanding of the sum and vertical cuts, look at their powers;
Learn to be a kut, summіzhny z tsim kut, depict vertical kuti, know a little vertical and sumizhnі kuti.

How are kuti designated?

Promin OA

Promin OV

For vimir kutiv vikoristovuyut protractor.

What kind of instrument can be vicorated for the world of kutiv?

Show a straight cut on the cutter.

How to name the reshta kutiv? (not straight)

Are there more or less stench than direct kuta?

B i c e t t r i c a

What is called the bisectrix of the kuta?

AOB = 70 0

Alone vimiru kuta

Usogo 180 parts.

1 particle - tse 1 degree.

1/60 of a degree is called badly , denoted by the sign "

1/60 part of the hvilini is called second , denoted by the sign " ″ »

90˚, ale 180˚ "width="640"

See kutiv

Kuta name

baby

Degree sunset

less than 90 ˚

GOSTRIY KUT

90 ˚

DIRECT KUT

TUPY KUT

90˚, ale

ROZgornuty

What kind of kut makes the crow's job, if: "Crow sir at the company of trimal?"

And if "The crow croaked at the top of its throat?"

To crucify the broken kut of the AOC. Place a large promin B, which lies between the sides of the flared kut.

Appointment of summіzhnyh kutіv

Appointment. Two kuti are called total because they have one side sleepy,

other sides of these kutiv є protilezhnymi exchanges.

 SAI and  BOC total

1. One of the sides of the kuta is sold

for yoga top.

2.Viishov kut AOC

є sumіzhny іz kutom AOB.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I III III III III III III III III III III III III III III III III

Kut sumіzhny for gostry kuta stupid .

1. One of the sides of the kut is extended for the yogo top.

2. Kut AOC, scho wiyshov, є sumіzhnym for kuta AOB.

Kut sumizhny for stupid kuta є gostrim .

The power of summіzhnyh kutіv

Theorem.

The sum of summіzhnyh kutіv dоrivnyuє 180 0

 AOC +  BOC = 180  .

130 0

Untie the task behind the armchairs

Solution: =

(for the yakіstyu sumіzhnyh kutіv)

0 - 0 – 130 0

To christen dovіlny  AOB. Stay on the exchange OC and OD, on both sides.

Appointment. Two kuti are called vertical like the sides of one kuta є prolezhnye exchanges to the sides of the other.

Find vertical cuts.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Wake up Kut.

2. Continue the skin side of the cut behind the yogo top.

Power of vertical cuts

Theorem. Vertical cuts are equal.

Untie the task behind the armchairs

Solution:

(for the power of vertical branches)

Finish the proposition

If one of the summіzhnyh kutіv is 50 °, then the other is more expensive ...
Kut, sumizhny іz straight, ...
If one of the vertical cuts is straight, then the other ...
Kut mіzhny іz hostrim…
If one of the vertical cuts is 25°, then the other cut is...

OS bisectrix

Know  BOC

1. The sum of summіzhnyh kutіv is dorіvnyuє….

360 0

90 0

180 0

2. How is it called Kut less than 1800, but more than 900

hostry

stupid

straight

3. Why is the kut more expensive, as if the sum of the 470 is more expensive with it?

133 0

47 0

43 0

4. What kind of kutvoryut the year is that hvilinna arrows of the year, if the stench shows 6 years?

stupid

roaring

straight

5. Find out

77 0

103 0

3 0

6. Find out

54 0

126 0

36 0

7. Find out the sum of kuti, as if one of them is twice the greater for the other.

90 0 that 100 0

60 0 that 120 0

40 0 that 80 0

8. Kut dorivnyu 72 0 . Why do vertical youmu kut?

18 0

108 0

72 0

Reverse yourself.

Homework

Task 1. Find cuts, cut off when you cut two straight lines, as if one of the cuts is the best 102 0 .

Task 2. Find out the values of the total cuts, as one of them is 5 times smaller for the other.

Task 3. Why is the sum of the kuti equal, as one of them is 30 0 more for the other?

Task 4. Find out the size of the skin z two vertical kutіv, yakshcho їhnya sum dovnyuє 98 0 .

short summary of other presentations

“Sumіzhnі ta vertikіnі kuti” - 5. 3. AOV c. Good luck. 4. O. Appointment: Straight? Stupid? A. V. S. 1. What is it? 2. The sum and vertical cuts. The power of summіzhnyh kutіv.

"The power of the bisection of a rіvnofemoral tricoutnik" - What surprised you? Bring: AB \u003d PS. After an additional protractor and a line, draw a bisector from vertex A to the base BC. Attach the equal-femoral tricot ABC from the basis of the BC. No. 110 (at the assistant). Grade 7 Try to guess the hypothesis. Given: BD – height and median? ABC.

"Geometry Grade 7" - 1. Prompt? Manager: Yerєmєєva M.V. Acknowledgment material: http://www.gazpromschool.ru/students/projects/geometry/postr/pr113_5a.htm. . Pobudov Bisector Kuta Geometry, Grade 7 5. Induce a cross point kіl: t. D. 2. Induce a long radius centered at the top? . 4. Induce two stakes of equal radius with centers at points B and C.

"Straight-cut tricout 7th class" - Tsіli lesson: To fix the main authorities of the tricuts. Razvyazannya tasks zastosuvannya powers of a straight-cut tricutnik. Look at the sign of a straight-cut tricot and the power of the median of a straight-cut tricot. Restore the overlaps in the rozv'yazannі tasks: Develop the ability to rozv'yazannya tasks to stop the power of a straight-cut tricutnik. Grade 7

"Lessons of geometry in grade 7" - Robot s ready chair. Task #3. Given: tricot ACE is equilateral. Task #2. Know: kut A, kut C, kut CBD. The purpose of the lesson. Rechecking homework. Suma kutiv trikutnik. Geometry lesson for grade 7. Know: Kut S. No. 228 (a), No. 230. Zavdannya No. 1. Problem solving.".

"Geometry Grade 7 Trikutniki" - In Grade 7 we have a new subject - "Geometry". Grade 7 Soldier's trickster. TRIKUTNIK (lat. Bermuda trikutnik. I think that we have never lived in such a geometric period until this hour. Trikutnik in life. Energetik ZOSH No. 2 settlement. Musical trikutnik. started vivchati - trikutnik.

To look ahead of the presentation, create your own Google post and see before: https://accounts.google.com

Captions before slides:

Theme of the lesson: Sumіzhnі and vertical kuti. School 291 Class 7

Objectives of the lesson: Learn from the understanding of the sum and vertical cuts, look at their powers; Learn to be a kut, summіzhny z tsim kut, depict vertical kuti, know a little vertical and sumizhnі kuti.

Let's guess! What is kut?

How are kuti designated?

For vimir kutiv vikoristovuyut protractor. What kind of instrument can be vicorated for the world of kutiv? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

10 20 50 60 70 80 90 100 110 120 130 140 150 160 170 180 180 170 160 150 140 130 120 110 100 8 0 0 0 0 III I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 А OB = 70 0 BO

Singles of the vimiru kuta Total 18 0 parts. 1 particle - tse 1 degree. 1/60 part of a degree is called a squiggle, indicated by the sign " ′" 1/60 part of a degree is called a second, indicated by the sign " ″

Vidi kutіv hostry kut Name of the kut Figure Degree sunset

What kind of kut makes the crow's job, if: "Crow sir at the company of trimal?" And if "The crow croaked at the top of its throat?"

Gostriy Tupii

At the kaztsі about the kuti of the square, the brother-kolo broke the yoma kuti. What stinks have become after what?

To your knowledge about kuti today, there are two more types: summіzhnі and vertical kuti.

1 2 A B C O Place a large promin B, which lies between the sides of the flared kut.

Appointment of summіzhnyh kutіv. Two kuti are called sumizhny, as in them one side is covered, and the other sides of these kuti are prolezhnye exchanges. A O B C  BAA ta  BOC total A O B C A O B C A O B C A O B A O B C A O B C A O B C

Chi є sum_kuti  AOD i  BOD  AO С ta  DO С  AO С ta  DO В  AO С,  DO С ta  BOD ?

Pobudov summіzhnyh kutіv

A O V Z Kut is stupid for a gostry kut. 1. Continue one side of the kut for the top of the yogo. 2. Viyshov kut AOC є sumіzhny z kutom AOB. I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

1. One of the sides of the kut is extended for the yogo top. 2. Kut AOC, scho wiyshov, є sumіzhnym for kuta AOB. A B C O Kut sumіzhny for a stupid kuta є gostrim.

One of the sides of the kuta is continued for the yogo peak. Kut AOC є sumіzhny z kutom AOB A B O С

Theorem. The sum of sums of sums is 180 0 Given:  AOC and  BOC – sums. Bring:  AOC +  BOC = 180  . Bringing. 1) Oskіlki  AOC and  BOC - sum, then change OA and OB - protilezhn, then  AOB - flaring, also,  AOB = 180  . 2) Move OC to pass between sides  AOB, then,  AOC +  BOC =  AOB = 180  С О A B C Yakі tse kuti? 2. What is the relationship between them? (Guess the axiom of folding cutiv).

1300? Solution:

To christen dovіlny  AOB. Stay on the exchange OC and OD, on both sides. B C A O D Appointment. Two kuti are called vertical ones, as the sides of one kut are protilene exchanges to the other side.

A D B C O Know the vertical lines. M N D C B A B A C D O B A C D M D C B A M D C B A

Pobudova vertical kutіv

A O B I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I III I III III III III III III III III III III III III III III III III III III III III III III III IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 I IIII I IIII I III I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 C D 2. Continue the skin side of the cut behind the yogo top.

Power of vertical lines A O D B C Theorem. Vertical cuts are equal. Given:  AOD and  COB – vertical. Bring:  AOD =  COB Proof. Leather іz kutіv  AOD ta  COB є total z kut  AOB . For the power of summ_zhnyh cutіv:  AOD +  AOB = 180  and  CO B +  AOB = 180  . May:  AOD = 180  –  AOB and  COB = 180  –  AOB , also,  AOD =  COB

Solve the task for the chairs Solution:

Finish the proposition If one of the summіzhny kutiv reaches 50 °, then the other one is more ... Kut, summary with a straight line, ... If one of the vertical kutіv is straight, then the other ... Kut is the summіzhny іz hospitality ... Like one of the vertical kutіv is good є 25 °, then another cut is more … 130 ° straight straight blunt 25 °

50°? 1 2 1 _ 2 = 70° 79°? 1 + 2 \u003d 90 ° 2 1 Task for self-verification Look after the little ones: Find  1 and  2 1 Find  1 and  2

Given:  = 3  . Know:  and . OS bisectrix Know  BOC Know  BOC

T E C T on the topic "Vertical and Sum Cuts"

1. The sum of summіzhnyh kutіv is dorіvnyuє…. 360 0 90 0 180 0 A B C

2. How is it called a cut less than 180 0, but more than 90 0 blunt straight A B C

3. Why is the kut more expensive, as if the sum of the 470 is more expensive with it? 133 0 47 0 43 0 C B A

4. What kind of kutvoryut the year is that hvilinna arrows of the year, if the stench shows 6 years? blunt flared straight C B A

5. Find out

6. Find out

7. Find out the sum of kuti, as if one of them is twice the greater for the other. 60 0 ta 120 0 90 0 ta 100 0 40 0 ta 80 0 C B A

8. Kut dorivnyu 72 0 . Why do vertical youmu kut? 72 0 108 0 18 0 C B A

9. What kind of kut is made by Godinnikov and hvilinna arrows of the year, if the stench shows three years? hostria straight blunt C B A

Reverse yourself. 1.C 2.B 3.A 4.B 5.B 6.B 7.B 8.C 9.C

When the two straight lines were intertwined, chotiri kuti settled down. One of them is expensive 43 0 . Find out the size of other cuts. M O F P K 43 0 Given: Know: Solution: Suggestion: 137 0 , 43 0 , 137 0  MO F and  KOP vertical, also, for the thickness of the vertical coils,  MO F =  KOP ,  KOP = 43 °  MO F +  FOK = 180 ° , the stinks of the stench are summed. Stars  FOK = 180 ° - 43 ° = 137 °  FOK and  POM vertical, also  FOK =  POM ,  POM =137 °

Task 1. Find out the cuts, cut off when crossing two straight lines, as one of the cuts is the best 102 0 . Task 2. Find out the values of the total cuts, as one of them is 5 times smaller for the other. Task 3. Why is the sum of money equal, if one of them is 30 0 more than the other? Task 4. Find out the size of the skin z two vertical kutіv, as if the sum is more expensive 98 0 .

Initially independent work AC B D 2. Place the IOC. Stay with him: a) Kut KO N; b) cut MOR. 3. Write down a bet on sums of money, yakі є on a little one: E A D C B F 4 . Write down a bet on vertical cuts, which is for the little one: D A M C N 1. On the small picture are straight lines AC and B D, which are intertwined at points O. Add entries:  BOS and . . . - vertical,  VOS and  . . . - sum,  CO D and  . . . - vertical,  CO D and  . . . - summіzhni. o

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