[kong-groo-uhns, kuhn-groo-, kuhng-]
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 ).

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

noncongruence, noun Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
congruence or congruency (ˈkɒŋɡrʊəns, ˈkɒŋɡrʊənsɪ)
1.  the quality or state of corresponding, agreeing, or being congruent
2.  maths the 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 xy (mod n), as in 2511 (mod 7)
congruency or congruency

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

c.1430, from L. congruentia "argument, harmony, congruity," from congruent-, prp. stem of congruere (see congruent). Related: Congruency (1494).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Students are looking for congruence between who you are and how you teach.
Ideally, there is a congruence of interests of the owners, ie.
What's different about this period is the increasing congruence between ideological and partisan differences.
There is an odd congruence between the nature of a given city and its preference in chicken.
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