# Definition:Congruence

(Redirected from Definition:Congruent)

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## Disambiguation

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**Congruence** may refer to:

- Geometry:
- Congruence: Two geometric figures are
**congruent**if they are both "the same size and shape".

- Congruence: Two geometric figures are

- Metric Spaces:
- Congruence (Metric Spaces): Two subsets of a space are
**congruent**if there exists an isometry between them.

- Congruence (Metric Spaces): Two subsets of a space are

- Abstract Algebra:
- Congruence Modulo an Ideal: A concept in ideal theory.
- Congruent Matrices
- Congruence Relation: An equivalence on an algebraic structure which is compatible with its operation.

- Number Theory:
- Congruence (Number Theory): Two real numbers $x$ and $y$ are congruent (modulo $z \in \R$) if and only if $x \bmod z = y \bmod z$