How to prove that triangles are equal in three ways?

Equal triangles are those triangles that can be superimposed. There are three signs that triangles are equal:

1) If two sides and the angle between them of one triangle are respectively equal to two sides and the angle between them of another triangle, then such triangles are equal.

2) If a side and two adjacent angles of one triangle are respectively equal to the side and two adjacent angles of another triangle, then such triangles are equal.

3) If three sides of one triangle are respectively equal to three sides of another triangle, then such triangles are equal.



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