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congruence

agreement / harmony / geometric identity / modular equivalence
Noun

This term describes a state of precise alignment or agreement. In social or political contexts, it suggests a seamless fit between ideas, values, or goals, implying a lack of conflict or contradiction. It carries a more formal and structural connotation than simple agreement. In mathematical contexts, the word shifts from a general sense of harmony to a rigorous definition of identity. In geometry, it denotes an exact match in size and shape regardless of orientation, while in number theory, it describes a specific modular relationship between integers.

Meanings

Noun

The quality of agreeing, coinciding, or being in harmony with something else.

"The congruence between the two political platforms allowed for a swift coalition government."

Noun

In geometry, the state of two figures having the same shape and size, such that they could be superimposed on each other.

"The teacher demonstrated the congruence of the two triangles by sliding one over the other."

Noun

In number theory, a relationship between two integers that have the same remainder when divided by a given positive integer.

"The students studied the properties of congruence modulo n in their advanced algebra course."

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Last Updated: June 13, 2026Report an Error