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açıortayın oluşturduğu açıların ölçüleri hesaplanabilir."]},"beginTime":83,"endTime":270,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=83&ask_summarization=1"},{"index":2,"title":"Üç Doğrunun İlişkileri","list":{"type":"unordered","items":["Üç doğru birbirine paralel olabilir veya bir noktada kesişebilirler.","Bir noktada kesişen doğrulara noktadaş veya kesişen doğrular denir.","Üç doğru aynı anda ikişer ikişer kesişebilir ve bu durumda iki paralel bir kesen durumu oluşur."]},"beginTime":270,"endTime":369,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=270&ask_summarization=1"},{"index":3,"title":"İki Paralel Bir Kesene Açılar","list":{"type":"unordered","items":["İki paralel doğru ve bunları kesen üçüncü bir doğru, çeşitli açılar oluşturur.","Paralel doğruların arasında kalan bölgeye iç bölge, dışında kalan bölgeye dış bölge denir.","Yöndeş açılar: Aynı yöne bakıp birbirine eşit olan açılardır (örneğin A ve E, B ve F, D ve H, C ve G).","Ters açılar: Zıt yöne bakıp birbirine eşit olan açılardır (örneğin A ve C, B ve D, E ve G, F ve H)."]},"beginTime":369,"endTime":595,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=369&ask_summarization=1"},{"index":4,"title":"İç ve Dış Ters Açılarda Özellikler","list":{"type":"unordered","items":["İç ters açılar, iç bölgede olup ters yöne doğru bakan açılardır.","Dış ters açılar da aynı mantıkla, dış bölgede olup ters yöne doğru bakan açılardır.","İki paralel doğru bir kesenle kesildiğinde tüm dar açılar birbirine, tüm geniş açılar birbirine eşittir."]},"beginTime":598,"endTime":668,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=598&ask_summarization=1"},{"index":5,"title":"Açılarda Uygulama Soruları","list":{"type":"unordered","items":["İlk soruda 70 derecelik açının karşısındaki açı da 70 derece olup, düz doğrunun üzerindeki açıların toplamı 180 derece olduğundan x+50+70=180 denklemi çözülerek x=60 bulunur.","İkinci soruda paralel doğrular ve bir kesenle oluşan açılarla 3y=y+20 ve 3x-60=2x+10 denklemleri çözülerek x=70 ve y=10 bulunur.","x+y=80 olarak cevap bulunur."]},"beginTime":668,"endTime":953,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=668&ask_summarization=1"},{"index":6,"title":"C Kuralı (U Kuralı)","list":{"type":"unordered","items":["C kuralı (bazı okullarda U kuralı olarak da adlandırılır), paralel doğrular ve bir kesenle oluşan açıların toplamının 180 derece olduğunu gösterir.","C kuralı farklı şekillerde gösterilebilir (tepedaklak veya kafasını kaldırmış gibi) ancak her zaman komşu iki açının toplamı 180 derecedir.","Sivri kısımlı sorularda, sivri kısımdan paralel bir doğru çizerek C kuralını kullanarak açılar bulunabilir."]},"beginTime":953,"endTime":1183,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=953&ask_summarization=1"},{"index":7,"title":"Z Harfi Açısı","list":{"type":"unordered","items":["Z harfi açılarında, açıların birbirine eşit olduğu gösterilmektedir.","Z harfi şeklindeki açıların, her durumda (yayılmış, ters) birbirine eşit olduğu vurgulanmaktadır.","İç ters açıların eşitliği, basit bir model sorusuyla gösterilmiştir."]},"beginTime":1190,"endTime":1431,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=1190&ask_summarization=1"},{"index":8,"title":"M Kuralı","list":{"type":"unordered","items":["M kuralında, yatmış M harfi şeklindeki açıların üst ve alttaki açılarının toplamı, ortadaki açıyı vermektedir.","M harfi şeklindeki açıların toplamı, ortadaki açıyı oluşturmaktadır.","M kuralı, bir soruyla örneklendirilmiştir."]},"beginTime":1431,"endTime":1501,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=1431&ask_summarization=1"},{"index":9,"title":"Roket Kuralı","list":{"type":"unordered","items":["Roket (veya kalem ucu) kuralında, paralel iki doğru arasındaki üç açının toplamı her zaman 360 derecedir.","Roket şekli, farklı yönlere çizilse bile üç açının toplamının 360 derece olduğu vurgulanmaktadır.","Roket kuralı, bir soruyla örneklendirilmiştir."]},"beginTime":1501,"endTime":1743,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=1501&ask_summarization=1"},{"index":10,"title":"Zikzak Kuralı","list":{"type":"unordered","items":["Ders, zikzak kuralıyla sonlandırılmaktadır.","Zikzak kuralında, çizginin hangi tarafa baktığı önemlidir."]},"beginTime":1743,"endTime":1759,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=1743&ask_summarization=1"},{"index":11,"title":"Zikzak Problemi ve Çözümü","list":{"type":"unordered","items":["Zikzak mantığı, sağa ve sola bakışların toplamının eşit olmasıdır.","Bir matematik problemi çözülüyor: sağa bakanların toplamı (70+2x+10+50) sola bakanların toplamına (80+3x+x+20) eşittir.","Denklem çözülürken, her iki taraftan 100 çıkarılıp, iki tarafı 2'ye böldüğümüzde x=15 olarak bulunur."]},"beginTime":1762,"endTime":1849,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=1762&ask_summarization=1"},{"index":12,"title":"Kızlar-Erkekler Müsabakası ve Ödevler","list":{"type":"unordered","items":["Kızlar-Erkekler müsabakasında kızlar 5-3 kazanmıştır.","Öğrencilere \"Doğruda Açılar\" konusu için ödevler verilmektedir.","Öğrencilerin çözmesi gereken testler: Test 21, Test 53, Test 54, Test 55 ve sıfırdan kitabından sayfa 66-67'deki testlerdir."]},"beginTime":1849,"endTime":1935,"href":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=1849&ask_summarization=1"}],"linkTemplate":"/video/preview/5839865810572168513?parent-reqid=1765130016603535-8364598705130746117-balancer-l7leveler-kubr-yp-klg-222-BAL&text=nzskier07&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Doğrular ve Açılar | 7. 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