congruence

[ˈkɒŋɡruəns]

congruence Definition

• 1. the state or quality of being in agreement or harmony
• 2. the correspondence between two shapes that are the same in size and shape

Using congruence: Examples

Take a moment to familiarize yourself with how "congruence" can be used in various situations through the following examples!

• Example

  There is a congruence between his words and actions.

• Example

  The congruence of the triangles was proven by the side-angle-side postulate.

• Example

  The congruence of their opinions on the matter was surprising.

congruence Synonyms and Antonyms

Synonyms for congruence

• agreement
• harmony
• conformity
• consistency
• coherence

Antonyms for congruence

• incongruence
• disharmony
• disagreement

Phrases with congruence

• congruence modulo n

  a mathematical concept that describes the relationship between two integers when their difference is divisible by a given integer n

  Example

  Two integers are said to be congruent modulo n if their difference is divisible by n.

• congruence class

  a set of integers that are congruent modulo n

  Example

  The congruence class of 3 modulo 7 contains all integers that leave a remainder of 3 when divided by 7.

• congruence relation

  a mathematical relation that describes the relationship between two objects that are equivalent in some sense

  Example

  In geometry, congruence is a relation between two figures that have the same shape and size.

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Summary: congruence in Brief

Congruence [ˈkɒŋɡruəns] refers to the state of being in agreement or harmony, or the correspondence between two shapes that are the same in size and shape. It can be used in mathematical contexts such as 'congruence modulo n' and 'congruence class,' or in everyday language such as 'There is a congruence between his words and actions.'