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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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