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Giải Bài 99 trang 98 sách bài tập toán 7 - Cánh diều

Cho hai tam giác ABC và MNP có \(\widehat {ACB} = \widehat {MPN}\), \(\widehat {ACB} = \widehat {MPN}\). Cần thêm một điều kiện để tam giác ABC và tam giác MNP bằng nhau theo trường hợp góc – cạnh – góc là:

ꦛTổng hợp đề thi học kì 2 lớp 7 tất cả các môn - Cánh diều

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Đề bài

Cho hai tam giác ABC và MNP có \(\widehat {ACB} = \widehat {MPN}\), \(\widehat {ACB} = \widehat {MPN}\)🍰. Cần thêm một điều kiện để tam giác ABC và tam giác MNP bằng nhau theo trường hợp góc – cạnh – góc là:

A. AC = MP;

B. AB = MN;

C. BC = NP;

D. AC = MN.

Phương pháp giải - Xem chi tiết

Xét các điều kiện để hai tam giác ABC và MNP bằng nhau theo trường hợp góc – cạnh – góc.

Lời giải chi tiết

 

Để ΔABC = ∆MNP theo trường hợp góc – cạnh – góc thì hai cặp góc bằng nhau là hai cặp góc kề với cặp cạnh bằng nhau của hai tam giác.Mà \(\widehat {ABC} = \widehat {MNP},\widehat {ACB} = \widehat {MPN}\)Lại có \(\widehat {ABC}\) và \(\widehat {ACB}\) là hai góc kề cạnh BC;\(\widehat {MNP}\) và \(\widehat {MPN}\) là hai góc kề cạnh NP.Do đó điều kiện còn thiếu là điều kiện về cạnh, đó là BC = NP.Vậy ta chọn đáp án C.

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