In geometry, two figures are said to be congruent if one can be transformed into the other via a distance preserving map. In number theory, two integers are said to be congruent if their difference is divisible by a given modulus.

There are at least two meanings on the word congruent in mathematics. Two geometric figures are said to be congruent if one can be transformed into the other by an isometry. This relationship, called geometric congruence, is written A≅B. (Unfortunately, the symbol ≅ is also used to denote an isomorphism.) A number a is said to be congruent to b modulo m if m|a - b (m divides a - b).

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Congruent

middle school level (California grade 7 standard)