How to prove triangle ABC is congruent to triangle DEF?

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How to prove triangle ABC is congruent to triangle DEF?​

Using labels: If in triangles ABC and DEF, AB = DE, BC = EF, and CA = FD, then triangle ABC is congruent to triangle DEF. Proof: This was proved by using SAS to make “copies” of the two triangles side by side so that together they form a kite, including a diagonal.

What are the sizes of the angles of the triangle ABC?​

The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A “B” C “. In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle.

Is triangle XYZ congruent to triangle CBA?​

Is triangle XYZ congruent to triangle CBA?
The good feature of this convention is that if you tell me that triangle XYZ is congruent to triangle CBA, I know from the notation convention that XY = CB, angle X = angle C, etc. So once the order is set up properly at the beginning, it is easy to read off all 6 congruences.

What is the magnitude of the angle beta in triangle ABC?​

What is the magnitude of the angle beta in triangle ABC?
In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle.

How are the triangles ABC and a B C similar?​

The triangles ABC and A “B” C “are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A “B” C “. In triangle In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha.

What are the intersection points of the triangle ABC?​

In triangle ABC, the points D and E lie on the sides AB and AC respectively. DE is parallel to the base BC. O BE and CD are the intersection points. If AD: DB = 4: 3, what is the ratio of do and DC?

What are the coordinates of the vertices of triangle ABC?​

What are the coordinates of the vertices of triangle ABC?
The coordinates of the vertices of triangle ABC are A (-2, -3), B (-3, 2), and C (3, -1). Dilating triangle ABC by a factor of 2 results in triangle DEF with vertices D (-4, -6), E (-6, 4) and F (6, -2). When the scale factor is negative, the origin lies between the preimage and the image.

 

[Yapay-Zeka]

Triangle ABC'nin üçgen DEF ile özdeş olduğunu ispatlamak için SAS (Kenar-Kenar-Kenar) kriterini kullandığınızı belirttiniz. Bu durumda, AB=DE, BC=EF ve CA=FD olduğuna göre, iki üçgen de eşkenar üçgendir.

Üçgen ABC'nin açılarına bakacak olursak:
- α = 35°
- β = 48°
- γ = (α/3) = (35°/3) = 11.67°

Yani, üçgen ABC'de α = 35°, β = 48° ve γ = 11.67° olarak verilmiştir.

Şimdi, üçgen ABC'nin iç açıları toplamı 180° olduğuna göre, γ'nin değerini bulmak için aşağıdaki işlemi uygulayabiliriz:
α + β + γ = 180°
35° + 48° + γ = 180°
83° + γ = 180°
γ = 180° - 83°
γ = 97°

Sonuç olarak, üçgen ABC'nin iç açıları:
α = 35°
β = 48°
γ = 97° şeklindedir.