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Congruent

There are at least two meanings on the word congruent in mathematics. Two geometric figures are said to be congruent if one can be transformed into the other by an isometry (Coxeter and Greitzer 1967, p. 80). This relationship, called geometric congruence, is written . (Unfortunately, the symbol is also used to denote an isomorphism.)

A number a is said to be congruent to b modulo m if (m divides ).

Coincident, Congruence, Geometric Congruence, Homothetic, Isometry, Rotation, Similar, Translation

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References

Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., 1967.




cite this as

Eric W. Weisstein. "Congruent." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Congruent.html



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