congurence

Definition

1. Noun:
   • Agreement or harmony: "congruence" refers to the state of being in agreement, harmony, or correspondence between things.
   • Mathematics — geometry: The property of two or more figures having the same shape and size, so that one can be placed exactly over the other through a rigid transformation (rotation, reflection, or translation).
   • Mathematics — number theory: A relation between two numbers indicating they have the same remainder when divided by a given modulus (e.g., 7 and 10 are congruent modulo 3).

Usage Examples

• General agreement: (Their opinions are in close agreement.)
• Geometry: (The triangles are identical in shape and size.)
• Number theory: (The relation of numbers having the same remainder.)

Advanced Usage

• "in congruence with": in agreement or harmony with something. (The policy aligns with the values.)
• "congruence of interests": a situation where two or more parties share similar goals or desires. (Their interests must match.)

Variants and Related Words

• Congruent (adj): in agreement; corresponding; (in geometry) identical in shape and size. (They are exactly the same shape and size.)
• Congruency (n): an alternative form of "congruence," less common but synonymous. (The evidence is consistent.)

Synonyms

• Harmony: a state of agreement or consistency. (They were in agreement.)
• Correspondence: a direct relationship or similarity. (They match closely.)

Related Idioms

• "Strike a chord of congruence": to create a sense of agreement or harmony (rare but poetic). (His words resonated and agreed with their feelings.)

Phrasal Verbs

• (This word is primarily a noun and does not form phrasal verbs.)