Question

Bài 2: Cho ∆ABC có AB AC = , M là trung điểm của BC . Trên tia đối của tia MA lấy điểm D sao cho MA = MD .

a) Chứng minh : ∆ ABM =∆ DCM .
b) AB // DC
c) AM ⊥ MC
d) Tìm điều kiện ∆ABC để góc ADC =30 °

Answer 1

To prove that ∆ABM is congruent to ∆DCM, we can use the fact that AB = CD, AM = DM and the fact that the included angles are equal.

Step-by-step explanation:

To prove that ∆ABM is congruent to ∆DCM, we can show that AB = CD, AM = DM, and that the included angle between AB and AM is equal to the included angle between CD and DM.

To show that AB = CD, we can use the fact that AB = AC.

To show that AM = DM, we can use the fact that MA = MD.

Finally, to show that the included angles are equal, we can use the fact that the two triangles share the same base, AC, and the included angles are vertical angles.

Answer 2

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