congruence

American  

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

3. Geometry. the relationship that exists between two figures when one can be superimposed over the other and all their angles and sides coincide, as a mirror image.

   the congruence of trapezoids with identical measurements.

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congruence British  

/ ˈkɒŋɡrʊəns, ˈkɒŋɡrʊənsɪ /

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 x ≡ y (mod n ), as in 25 ≡ 11 ( mod 7 )

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Other Word Forms

• noncongruence noun

Etymology

Origin of congruence

First recorded in 1400–50; late Middle English, from Latin congruentia, derivative of congruent- congruent; -ence

Example Sentences

In math, Ono is known for his work on a range of topics across number theory, from Ramanujan’s congruences to the umbral moonshine conjecture.

From The Wall Street Journal

“So, if you’re not acting in congruence with your emotions, our horses will call you out on it, and encourage you to simply be yourself.”

From Los Angeles Times

For an advertising message to successfully resonate and change either a consumer's attitude or behavior, "congruence" is required.

From Salon

There is also little diplomatic congruence within the bloc.

From Washington Times

After observing the congruence between the two asteroids, scientists went back to the drawing board.

From Salon