# congruent

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## con·gru·ent

(kŏng′gro͞o-ənt, kən-gro͞o′-)
1. Corresponding; congruous.
2. Mathematics
a. Coinciding exactly when superimposed: congruent triangles.
b. Of or relating to two numbers that have the same remainder when divided by a third number. For example, 11 and 26 are congruent when the modulus is 5.

[Middle English, from Latin congruēns, congruent-, present participle of congruere, to agree.]

## congruent

(ˈkɒŋɡrʊənt)
1. agreeing; corresponding; congruous
2. (Mathematics) having identical shapes so that all parts correspond: congruent triangles. Compare similar2
3. (Mathematics) of or concerning two integers related by a congruence
[C15: from Latin congruere to meet together, agree]

## con•gru•ent

(ˈkɒŋ gru ənt, kənˈgru-, kəŋ-)

1. agreeing; accordant; congruous.
2. of or pertaining to two numbers related by a congruence.
3. (of geometric figures) coinciding at all points when superimposed: congruent triangles.
[1375–1425; < Latin congruent-,congruens <congruere to agree]

## con·gru·ent

(kŏng′gro͞o-ənt, kən-gro͞o′ənt)
Geometry
Having the same size and shape; matching exactly: congruent triangles.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Adj. 1 congruent - corresponding in character or kindcongruousappropriate - suitable for a particular person or place or condition etc; "a book not appropriate for children"; "a funeral conducted the appropriate solemnity"; "it seems that an apology is appropriate" 2 congruent - coinciding when superimposedgeometry - the pure mathematics of points and lines and curves and surfacesincongruent - not congruent

## congruent

adjective The interests of landowners were by no means congruent with those of industrial capitalists.
Translations
مُلائِم، مُنْسَجِم، مُتَطابِق
shodný
kongruent
egybevágó
kongrúent, aljafn
kongruencijakongruentus
çakışık

## congruent

(Math) numberkongruent; (Geometry also) → deckungsgleich

## congruent

[ˈkɒŋgrʊənt] adj (Geom) (plane, solid) → congruente

## congruent

of two or more geometrical figures, touching at all points when one is fitted on top of the other. congruent triangles.
conˈgruity (-ˈgruː-) noun
References in periodicals archive ?
He covers integers, polynomials, lines, and congruences; quadratic congruences and quadratic equations; and cubic equations and elliptic curves.
In this work, we establish several infinite families of congruences modulo powers of 2 and 3 for [bar.p.sub.3](n).
Lin, "Congruences for bipartitions with odd parts distinct," Ramanujan Journal.
In a study (Gauss, 1966) reports that congruences are useful to find the divisibility by different integers.
Furthermore operations on two good congruences give good congruences.
Theoretically, the eight issue-specific congruences can all be considered to be components of a single, more general concept of opinion-policy congruence.
of Illinois-Springfield) walks fellow mathematicians through are Jacobi's triple product identity, the Rogers-Ramanujan identities, the "most beautiful identity," and Ramanujan's congruences. Among the stops along the way are a first proof via functional equation, a second proof involving Gaussian polynomials and difference equations, the evaluation of the Rogers-Ramanujan continued fraction, a remarkable identity from the Lost Notebook and cranks, and analytical methods of Ramanujan's congruences.
It is remarkable that the coefficients c(n) have the following congruences [6] for a [greater than or equal to] 1:
In the case p + s [equivalent to] 0 (mod [2.sup.n-1]) the last three congruences of (4) hold and we get case III) of Proposition 4.
In [AF01], Agafonov and Ferapontov introduce and study congruences of lines associated to hyperbolic systems of conservation laws.

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