Question

Дано: AB=BC , угол B= углу B1Доказать : треугольник ABC подобен треугольнику A1B1C1Помогите решить плз

Answer 1

По теореме о равенстве треугольников по двум сторонам и углу. Если AB=BC, значит, углы при основании равны. Угол B=B1 по условию, тогда треугольники подобны и т.д.

Answer 2

Proof of Triangle Similarity

To prove that triangle ABC is similar to triangle A1B1C1, we can use the given information that AB = BC and angle B = angle B1.

Explanation:

To show that the two triangles are similar, we can use the following criteria:

1. Side-Angle-Side (SAS) Similarity Criterion: If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

2. Angle-Angle (AA) Similarity Criterion: If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Proof using SAS Similarity Criterion:

Given: AB = BC and angle B = angle B1

We can use the SAS similarity criterion to prove the similarity of the triangles.

1. Side AB = side BC (given) 2. Angle B = angle B1 (given)

By the SAS similarity criterion, triangle ABC is similar to triangle A1B1C1.

Conclusion:

Therefore, based on the given information and the SAS similarity criterion, we have successfully proved that triangle ABC is similar to triangle A1B1C1.