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 👁 A=B
. (Unfortunately, the symbol 👁 =
is also used to denote an isomorphism.)

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

See also

Coincident, Congruence, Geometric Congruence, Homothetic, Isometry, Rotation, Similar, Translation Explore this topic in the MathWorld classroom

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References

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

Referenced on Wolfram|Alpha

Congruent

Cite this as:

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

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