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Giải bài 3.15 trang 61 SGK Toán 8 tập 1 - Kết nối tri thức

Cho hình bình hành ABCD.

♔Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

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

ඣCho hình bình hành ABCD. Gọi E, F lần lượt là trung điểm của AB, CD. Chứng minh BF = DE.

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Lời giải chi tiết

Vì ABCD là hình bình hành nên AB = CD, AB // CD.Mà E, F lần lượt là trung điểm của AB, CD nên AE = BE, CF = DF.Do đó AE = BE = CF = DF.Xét tứ giác BEDF có:BE = DF (chứng minh trên);BE // DF (vì AB // CD)Do đó tứ giác BEDF là hình bình hành.Suy ra BF = DE (đpcm).

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