🤝 Agreement or harmony 🔢 Same remainder 📐 Same shape and size

congruency

8.5

Two numbers that leave the same remainder when divided by a given number

noun
/kənˈɡruːənsi/

Specialized

: congruencia

In modular arithmetic, two numbers are said to have congruency if they leave the same remainder when divided by a specific modulus.

Examples

Mathematicians often explore the concept of congruency to understand the relationships between different integers in number theory.
Because it is difficult to determine why an event did not occur, I perform congruency tests to determine whether the measured value of the independent variables (i.e., levels of willingness and ability) predicts the observed outcome (i.e., level of nuclear interest) (George and Bennett 2005, 180-81).

Academic text (2018)
When analyzing data, we check for congruency among the results to ensure consistency in our findings.

Synonyms

congruence

vscongruency

Specialized

1 6.6

Agreement between ideas or an exact match in size and shape

is a specific relation about numbers sharing the same remainder under a modulus

Surface Forms

congruency singular

congruencies plural

Morphology

congruency = congruent (semi-transparent) = congruent + ency

Formally derived from 'congruent', but the modular-arithmetic meaning ('same remainder modulo n') is a specialized mathematical usage that learners need domain knowledge to apply.

Etymology

Congruency comes from the Latin congruere, 'to fit together'. In math it means numbers 'match' because they leave the same remainder when you divide by a number, like 14 and 4 when you divide by 5.