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Giải bài 5 trang 87 SGK Toán 8 tập 1– Chân trời sáng tạo

Lấy một tờ giấy, gấp làm tư để có một góc vuông

♛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

ꦫLấy một tờ giấy, gấp làm tư để có một góc vuông như triong Hình 16, dùng kéo cắt theo đường \(MN\) sao cho \(OM = ON\). Mở phần giấy cắt được ra ta được một tứ giác. Tứ giác đó là hình gì. Giải thích kết luận của em.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

😼Mở tờ giấy được cắt ra ta được tứ giác \(MNPQ\) như hình vẽ dưới đây


🧸Áp dụng dấu hiệu nhận biết hình vuông để chứng minh tức giác \(MNPQ\) là hình vuông

Lời giải chi tiết

🐬Vì \(OM = ON = OP = OQ\) nên \(O\) là trung điểm của \(NQ\) và \(MP\) và \(MP = NQ\)

💫Xét tứ giác \(MNPQ\) có hai đường chéo \(NQ\) và \(MP\) cắt nhau tại trung điểm \(O\) (cmt)

Suy ra \(MNPQ\) là hình bình hành

ꦉMà \(MP = NQ\) (cmt) nên \(MNPQ\) là hình chữ nhật

🌠Lại có \(MP \bot NQ\) (gt) nên \(MNPQ\) là hình vuông

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