Yansima, Öteleme ve Dönme hareketler

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8.sınıf Yansıma,Öteleme ve Dönme konularını içermektedir.

Bildung

Etkinlik 1: Çalışma kağıdında önce nokta sonra doğru
sonra düzlem döndürülür. (Pergelle) Tablo
oluşturulup noktaların değişimi gösterilir.(Saat
yönünde)
Etkinlik 2: Uygulamadan örnek yapılır.(Saat yönünün
tersinde)

Bir nesnenin bir yerden başka bir yere belirli bir doğrultu
ve yönde (sağ, sol, yukarı, aşağı) yaptığı kayma
hareketine öteleme denir.

Bir şeklin herhangi bir d doğrusuna göre yansımasını
bulmak d doğrusu boyunca katlayıp izlerini bulmak o
şeklin yansıtılmasıdır.

Yansımada şeklin biçimi ve boyutu aynı kalır ancak
duruşu terstir.
Ötelemede şeklin duruşu, biçimi ve boyutları aynı
kalır.

Etkinlik: Önce öteleme sonra yansıma , aynı şekle
önce yansıma sonra öteleme yapılır. Değişmediği
gösterilerek anlatılır.

Etkinlik: Kağıt katlayıp şekil kestirip eşliği gösterme

Etkinlik:Karton etkinliği ile eşlik sembolü anlatılır.

İki üçgenin karşılıklı kenarının uzunlukları ve
açılarının ölçüleri birbirine eşit ise bu üçgenler
eş üçgenlerdir.
İki üçgenin eşliği "≅" sembolü ile gösterilir.

Katlama ve kesme ile dörtgenlerin
eşitliği gösterilir.

ÇOKGENLERDE EŞLİK
Karşılıklı kenar uzunlukları ve açıları
birbirine eşit olan çokgenlere eş çokgenler
denir.

Etkinlik: İki benzer üçgen çizilip kesilir tablo ile
kenar ve açı ölçülerini karşılaştırır. Üçgenler
çizili verilir. Kenar ve açıları ölçtürülür.
Benzerlik sembolü tanıtılır.

İki üçgenin karşılıklı açılarının ölçüleri
birbirine eşit ve karşılıklı kenarlarının
uzunlukları orantılı ise bu üçgenler benzer
üçgenlerdir.
İki üçgenin benzerliği "∼" sembolü ile
gösterilir. Sembolle gösterirken eş olan açılar
aynı sırada yazılmalıdır.

İŞLEM 1: Bir çokgen çizdirilir. Kenarların orta noktaları
bulunarak birleştirilir. Aynı işlemin meydana gelen içteki
çokgen için tekrarlanması.

ÇOKGENLERDE BENZERLİK
İki çokgenin karşılıklı açılarının ölçüleri birbirine eşit
ve karşılıklı kenarlarının uzunlukları orantılı ise bu
çokgenler benzer çokgenlerdir.

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Yansima, Öteleme ve Dönme hareketler

1. YANSIMA, ÖTELEME VE DÖNME HAREKETLERİ

2. DÖNME NEDİR?

5. Etkinlik 1: Çalışma kağıdında önce nokta sonra doğru sonra düzlem döndürülür. (Pergelle) Tablo oluşturulup noktaların değişimi gösterilir.(Saat yönünde) Etkinlik 2: Uygulamadan örnek yapılır.(Saat yönünün tersinde)

9. Bir nesnenin bir yerden başka bir yere belirli bir doğrultu ve yönde (sağ, sol, yukarı, aşağı) yaptığı kayma hareketine öteleme denir.

10. Bir şeklin herhangi bir d doğrusuna göre yansımasını bulmak d doğrusu boyunca katlayıp izlerini bulmak o şeklin yansıtılmasıdır.

11. Yansımada şeklin biçimi ve boyutu aynı kalır ancak duruşu terstir. Ötelemede şeklin duruşu, biçimi ve boyutları aynı kalır.

12.

13.

14.

15.

16. Etkinlik: Önce öteleme sonra yansıma , aynı şekle önce yansıma sonra öteleme yapılır. Değişmediği gösterilerek anlatılır.

17.

18.

19.

20. Etkinlik: Kağıt katlayıp şekil kestirip eşliği gösterme

21. ÜÇGENLERDE EŞLİK

22. Etkinlik:Karton etkinliği ile eşlik sembolü anlatılır.

23. İki üçgenin karşılıklı kenarının uzunlukları ve açılarının ölçüleri birbirine eşit ise bu üçgenler eş üçgenlerdir. İki üçgenin eşliği "≅" sembolü ile gösterilir.

24.

25.

26. Katlama ve kesme ile dörtgenlerin eşitliği gösterilir.

27. ÇOKGENLERDE EŞLİK Karşılıklı kenar uzunlukları ve açıları birbirine eşit olan çokgenlere eş çokgenler denir.

28.

29. Etkinlik: İki benzer üçgen çizilip kesilir tablo ile kenar ve açı ölçülerini karşılaştırır. Üçgenler çizili verilir. Kenar ve açıları ölçtürülür. Benzerlik sembolü tanıtılır.

30.

31.

32.

33. ÜÇGENLERDE BENZERLİK

34. İki üçgenin karşılıklı açılarının ölçüleri birbirine eşit ve karşılıklı kenarlarının uzunlukları orantılı ise bu üçgenler benzer üçgenlerdir. İki üçgenin benzerliği "∼" sembolü ile gösterilir. Sembolle gösterirken eş olan açılar aynı sırada yazılmalıdır.

35.

36.

37. İŞLEM 1: Bir çokgen çizdirilir. Kenarların orta noktaları bulunarak birleştirilir. Aynı işlemin meydana gelen içteki çokgen için tekrarlanması.

38.

39.

40. ÇOKGENLERDE BENZERLİK İki çokgenin karşılıklı açılarının ölçüleri birbirine eşit ve karşılıklı kenarlarının uzunlukları orantılı ise bu çokgenler benzer çokgenlerdir.