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Giải bài 2 trang 82 SGK Toán 8 tập 2– Chân trời sáng tạo

Trong các hình dưới đây, hai hình nào đồng dạng với nhau?

✃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

Trong các hình dưới đây, hai hình nào đồng dạng với nhau?

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Hai h💟ình \(H\) và hình \(H'\) được gọi là đồng dạng nếu có hình đồng dạng phối của của hình \(H\) bằng hình \(H'\).

Lời giải chi tiết

- Xét hình 16a và hình 16b ta có:

🍸Tỉ lệ của chiều dài – chiều dài và chiều rộng – chiều rộng của hình 16a và hình 16b lần lượt là:

𒐪\(\frac{3}{{4,5}} = \frac{2}{3};\frac{{2,6}}{{3,9}} = \frac{2}{3}\)🥃. Do đó, tồn tại hình đồng dạng phối cảnh của hình 16a bằng hình 16b. Do đó, hình 16a và hình 16b đồng dạng với nhau.

- Xét hình 16b và hình 16c ta có:

♔Tỉ lệ của chiều dài – chiều dài và chiều rộng – chiều rộng của hình 16b và hình 16c lần lượt là:

\(\frac{{4,5}}{3} = 1,5;\frac{{3,9}}{2} = 1,95\)ꦐ. Do đó, không tồn tại hình đồng dạng phối cảnh nào của hình 16b để bằng hình 16c. Do đó, hình 16b và hình 16c không đồng dạng với nhau.

- Xét hình 16c và hình 16c ta có:

🌌Tỉ lệ của chiều dài – chiều dài và chiều rộng – chiều rộng của hình 16a và hình 16c lần lượt là:

\(\frac{3}{3} = 1;\frac{{2,6}}{2} = 1,3\)🗹. Do đó, không tồn tại hình đồng dạng phối cảnh nào của hình 16a để bằng hình 16c. Do đó, hình 16a và hình 16c không đồng dạng với nhau.

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