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Trong các Hình 17b, c, d hình nào đồng dạng với Hình 17a? Giải thích?

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

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Đề bài

𝔉Trong các Hình 17b, c, d hình nào đồng dạng với Hình 17a? Giải thích?

 

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 17a và hình 17b ta có:

🍌Tỉ lệ của chiều dài – chiều dài và chiều rộng – chiều rộng của hình 17a và hình 17b lần lượt là:

🃏\(\frac{7}{{10,5}} = \frac{2}{3};\frac{3}{{4,5}} = \frac{2}{3}\)꧅. Do đó, tồn tại hình động dạng phối cảnh của hình 17a bằng hình 17b. Do đó, hình 17a và hình 17b đồng dạng với nhau.

- Xét hình 17a và hình 17c ta có:

🦋Tỉ lệ của chiều dài – chiều dài và chiều rộng – chiều rộng của hình 17a và hình 17c lần lượt là:

🅺\(\frac{7}{{14}} = \frac{1}{2};\frac{3}{{3,5}} = \frac{6}{7}\)🅠. Do đó, không tồn tại hình động dạng phối cảnh nào của hình 17a để bằng hình 17c. Do đó, hình 17a và hình 17c không đồng dạng với nhau.

- Xét hình 17a và hình 17d ta có:

💯Tỉ lệ của chiều dài – chiều dài và chiều rộng – chiều rộng của hình 17a và hình 17d lần lượt là:

\(\frac{7}{{20}};\frac{3}{9} = \frac{1}{3}\)🉐. Do đó, không tồn tại hình động dạng phối cảnh nào của hình 17a để bằng hình 17d. Do đó, hình 17a và hình 17d không đồng dạng với nhau.

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