Question

На рисунке 144 треугольник ABC=треугольнику А1В1С1, угол DBC=углу D1B1C1 Докажите что треугольник DBC=треугольнику D1B1C1?

Answer 1

DBC=D1B1C1 по признаку равенства треугольников- 2 стороны и 1 угол

Answer 2

Proof of Triangle Congruence

To prove that triangle DBC is congruent to triangle D1B1C1, we can use the information given in the question, which states that triangle ABC is congruent to triangle A1B1C1 and angle DBC is congruent to angle D1B1C1.

We can use the following steps to prove the congruence:

1. Given Information: - Triangle ABC is congruent to triangle A1B1C1. - Angle DBC is congruent to angle D1B1C1.

2. Proof: - Since triangle ABC is congruent to triangle A1B1C1, it follows that angle B is congruent to angle B1 and angle C is congruent to angle C1. - Now, we are given that angle DBC is congruent to angle D1B1C1. - Using the Angle-Side-Angle (ASA) congruence criterion, we can conclude that triangle DBC is congruent to triangle D1B1C1.

Therefore, based on the given information and the ASA congruence criterion, we can prove that triangle DBC is congruent to triangle D1B1C1.