# congruence

[kong-groo-uh ns, kuh n-groo-, kuh ng-] /ˈkɒŋ gru əns, kənˈgru-, kəŋ-/
noun
1.
the quality or state of agreeing or corresponding.
2.
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
late Middle English
1400-1450
1400-50; late Middle English < Latin congruentia, derivative of congruent- congruent; see -ence
Related forms
noncongruence, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2016.
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Examples from the Web for congruence
Contemporary Examples
• The congruence of interests creates this historic opportunity.

Historical Examples
• It follows that all lines in which corresponding planes in two projective pencils meet form a congruence.

• This is the reason for placing it by itself, followed by the congruence theorems.

David Eugene Smith
• The congruence between them I cal the instrument of the mouth, quhilk, when the eie sees the symbol, utteres the sound.

Alexander Hume
• Finally the sixth axiom of congruence is that the relation of congruence is transitive.

• There will therefore be one line of the congruence passing through Q, and only one.

• The source of order has already been indicated and that of congruence is now found.

• What is this but a judgment of congruence applied to the train of successive positions of the yard  measure?

• This lack of congruence between the mental picture and the object itself is necessary for obvious reasons.

Robert T. Browne
• We shall see this congruence consists of all lines which cut a twisted cubic twice, or of all secants to a twisted cubic.

British Dictionary definitions for congruence

## congruence

/ˈkɒŋɡrʊəns/
noun
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)
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for congruence
n.

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

Online Etymology Dictionary, © 2010 Douglas Harper
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### Difficulty index for congruence

Few English speakers likely know this word

### Word Value for congruence

15
21
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