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Giải câu hỏi trắc nghiệm trang 86 vở thực hành Toán 8 tập 2

Chọn phương án đúng trong mỗi câu sau.

🐬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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Chọn phương án đúng trong mỗi câu sau.

Câu 1 trang 86

Cho tam giác ABC có AB = 4cm, BC = 5cm, CA = 6cm. Bộ ba độ dài nào dưới đây là độ dài ba cạnh của một tam giác đồng dạng với tam giác ABC với tỉ số đồng dạng là 2. A. 2cm, 2,5cm, 3cm. B. 4cm, 5cm, 6cm. C. 8cm, 10cm, 12cm. D. 6cm, 8cm, 10cm.

Phương pháp giải:

Dựa vào tỉ số các cạnh của tam giác để lựa chọn được phương án đúng

Lời giải chi tiết:

Ta có: $\frac{8}{4}=\frac{10}{5}=\frac{12}{6}=2$ nên bộ ba trong câu C là độ dài ba cạnh của tam giác thỏa mãn yêu cầu. => Chọn đáp án C.

Câu 2 trang 86

Với hai tam giác bất kì ABC và DEF thỏa mãn $\frac{AB}{DE}=\frac{AC}{DF},\widehat{BAC}=\widehat{FDE}$, khẳng định nào sau đây là đúng? A. $\Delta CAB\backsim \Delta DEF$. B. $\Delta ABC\backsim \Delta EFD$. C. $\Delta BCA\backsim \Delta EFD$. D. $\Delta BAC\backsim \Delta FED$.

Phương pháp giải:

Dựa vào các trường hợp đồng dạng của tam giác

Lời giải chi tiết:

Xét tam giác ABC và tam giác DEF có $\frac{AB}{DE}=\frac{AC}{DF},\widehat{BAC}=\widehat{FDE}$ nên $\Delta ABC\backsim \Delta DEF$(c.g.c), ta có các cặp đỉnh tương ứng $\widehat{A}$ và $\widehat{D}$, $\widehat{B}$ và $\widehat{E}$, $\widehat{C}$ và $\widehat{F}$ nên $\Delta BCA\backsim \Delta EFD$. => Chọn đáp án C.

Câu 3 trang 86

Với hai tam giác bất kì ABC và MNP thỏa mãn \(\widehat{ABC}=\widehat{PNM},\widehat{ACB}=\widehat{NPM}\), khẳng định nào sau đây là đúng? A. $\Delta ABC\backsim \Delta MNP$. B. $\Delta ABC\backsim \Delta NPM$. C. $\Delta ABC\backsim \Delta PNM$. D. $\Delta ACB\backsim \Delta NPM$.

Phương pháp giải:

Dựa vào các trường hợp đồng dạng của tam giác

Lời giải chi tiết:

Xét tam giác ABC và tam giác MNP có \(\widehat{ABC}=\widehat{PNM},\widehat{ACB}=\widehat{NPM}\) nên $\Delta ABC\backsim \Delta MNP$(g.g), ta có các cặp đỉnh tương ứng $\widehat{A}$ và $\widehat{P}$, $\widehat{B}$ và $\widehat{N}$, $\widehat{C}$ và $\widehat{N}$ nên $\Delta ABC\backsim \Delta MNP$. => Chọn đáp án A.

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