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Giải bài 6 trang 81 SGK Toán 8 tập 1– Chân trời sáng tạo

Quan sát hình 21.

♔Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

🔥Quan sát hình 21. Chứng minh rằng tứ giác \(EFGH\) là hình thoi.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Chứng minh 4 tam giác bằng nhau Chứng minh 4 cạnh của tứ giác bằng nhau

Lời giải chi tiết

Xét \(\Delta HAE\) và \(\Delta FBE\) ta có:

\(AH = BF\) (gt)

🍌\(\widehat {{\rm{HAE}}} = \widehat {{\rm{FBE}}} = 90^\circ \) (gt)

\(AE = BE\) (gt)

Suy ra \(\Delta HAE = \Delta FBE\) (c-g-c)

Suy ra \(HE = EF\)

🏅Chứng minh tương tự ta có: \(EF = GF\); \(GF = GH\); \(GH = HE\)

Suy ra \(HE = EF = FG = GH\)

Suy ra \(EFGH\) là hình thoi

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