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 Description  
 Side-Side-Side (SSS):  A congruence property that states if three sides of a triangle are congruent, respectively, to the three sides of another triangle, then the two triangles are congruent.

In the following example, triangles ABC and DEF are congruent by SSS.


In his books Elements, Euclid showed that for SAS, ASA, AAS and SSS, if three corresponding parts of two triangles are congruent, then all six parts have corresponding congruent parts. However, there are instances in which five of the six parts of one triangle are congruent to five of the six parts of another triangle without the triangles being congruent! Consider the following pair of triangles. Five parts of one triangle are congruent to five parts of the second triangle. But why are they not congruent?