Lesson EQUALITY of triangles

Triangles in General

If, in one triangle, two sides and the angle between them ae equal to two sides and the angle between them of another triangle, then these triangles are equal.
If one side and two adjacent angles of one triangle are equal to a side and two adjacent angles of another triangles, then these triangles are equal.
If three sides of one triangle are equal in length to three sides of another triangle, then these triangles are equal.

Right triangles

Two right triangles are equal if one leg of one triangle is equal to one leg of another triangle, and the second leg of the first triangle is equal to the second leg of the second triangle.
Two right triangles are equal if one leg of one triangle is equal to one leg of another triangle, and the hypotenuse of the first triangle is equal to the hypotenuse of the second triangle.
Two right triangles are equal if one leg of one triangle is equal to one leg of another triangle, and the acute angle of the first triangle is equal to the acute angle of the second triangle.