# Definition:Congruence

From ProofWiki

(Redirected from Definition:Congruent)

## Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

**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

- Linear Algebra:
- Congruence: Two subsets of a space are
**congruent**if there is an isometry between them.

- Congruence: 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 $x \bmod z = y \bmod z$