Congruence

All of the above coin are identical in their shape and size. If tracing were made of one of tem, it could be placed so as to coincide exactly with any of the others. Such figures are said to be congruent. Such a correspondence is called a congruent between the two triangles and is represented by the symbol ……
Some theorem of congruence triangle
I. If the three sides of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.
II. If two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.
III. If two angles and the included sides of one triangle are equal to the corresponding parts of another triangle, then the triangle, then the triangles are congruent.
IV. If correspondence of two triangles or of a triangle with itself such that two angles and the side between them are respectively congruent to the two corresponding angles and the side between them, then the correspondence of the triangle is a congruence of the triangle.
V. If a correspondence of triangles is such that three sides of one triangle are congruent respectively to the three corresondint sides of the other triangle, then the correspondence is a congruence of the triangle.

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