the quality or state of agreeing or corresponding.

Mathematics. a relation between two numbers indicating that the numbers give the same remainder when divided by some given number.Compare residue(def 4b).

Origin of congruence

1400–50;late Middle English < Latincongruentia, derivative of congruent-congruent; see -ence

the quality or state of corresponding, agreeing, or being congruent

mathsthe relationship between two integers, x and y, such that their difference, with respect to another positive integer called the modulus, n, is a multiple of the modulus. Usually written x ≡ y (mod n), as in 25 ≡ 11 (mod 7)

mid-15c., from Latin congruentia "agreement, harmony, congruity," from congruentem (nominative congruens), present participle of congruere "to come together" (see congruent). Related: Congruency.