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Giải bài tập 5 trang 78 SGK Toán 9 tập 2 - Cánh diều

Cho hình thang ABCD (AB//CD) nội tiếp đường tròn. Chứng minh rằng hình thang ABCD là hình thang cân.

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Cho hình thang ABCD (AB//CD) nội tiếp đường tròn. Chứng minh rằng hình thang ABCD là hình thang cân.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Chứng minh \(\widehat C = \widehat D\) (do cùng bù với góc A).

Lời giải chi tiết

Ta có: ABCD nội tiếp đường tròn nên \(\widehat A + \widehat C = 180^\circ .\) Hơn nữa \(\widehat A + \widehat D = 180^\circ \) (do AB//CD) Suy ra \(\widehat C = \widehat D\). Xét hình thang ABCD có AB//CD, \(\widehat C = \widehat D\) nên ABCD là hình thang cân (dhnb).

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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