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Cách chứng minh hai cung bằng nhau - Toán 9

1. Cách chứng minh hai cung bằng nhau:

Để chứng minh hai cung bằng nhau, ta chứng minh hai cung trong một đường tròn hay hai đường tròn bằng nhau có cùng số đo độ.

2. Cách tính số đo góc ở tâm và số đo cung bị chắn

Số đo của một cung được xác định như sau:

- Số đo của nửa đường tròn bằng \(180^\circ \). - Số đo của cung nhỏ bằng số đo của góc ở tâm chắn cung đó. - Số đo cung lớn bằng hiệu giữa \(360^\circ \) và số đo của cung nhỏ có chung hai mút.

Ví dụ: Số đo của cung AB được kí hiệu là sđ$\overset\frown{AB}$.

sđ$\overset\frown{AmB}=\widehat{AOB}=\alpha $; sđ$\overset\frown{AnB}=360{}^\circ -\alpha $.

Chú ý:

- Cung có số đo \(n^\circ \) còn được gọi là cung \(n^\circ \). Cả đường tròn được coi là cung \(360^\circ \). Đôi khi ta cũng coi một điểm là cung \(0^\circ \). - Hai cung trên một đường tròn gọi là bằng nhau nếu chúng có cùng số đo.

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