On the equipment AC of an isosceles triangle ABC, equal segments AD and AC are laid down to prove

On the equipment AC of an isosceles triangle ABC, equal segments AD and AC are laid down to prove that the triangles BAD is equal to the triangle BCE.

Since triangle ABC is isosceles with base AC, then AB = CB and angle BAD = angle BCE. By the condition of the problem AD = EC. Therefore, triangles BAD and BCE have equal two sides and an angle between them. And this is the first sign of the equality of triangles.
Answer: BAD = BCE



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