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Congruent

Basic definitions

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.

Detailed definition

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).

Related terms

coincident | congruence | geometric congruence | homothetic | isometry | rotation | similar | translation

Related Wolfram Language symbol

Congruent

Educational grade level

middle school level (California grade 7 standard)

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