incongruent

/in'kɔɳgruənt/
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incongruent

The two shapes are incongruent with each other.

Definition
  1. Adjective:
    • Not congruent; lacking harmony, agreement, or compatibility: Describes things that do not match, fit together, or correspond in character, form, or function. It often implies a noticeable mismatch or inconsistency.
    • In mathematics, specifically geometry: Describes figures or shapes that are not identical in form and size; they cannot be made to coincide exactly by rotation or translation.
Usage
  • The adjective "incongruent" is used to describe a state of being out of place, inconsistent, or mismatched. It is often applied to ideas, statements, elements, or visual components.
  • It can be used predicatively (e.g., "The two ideas are incongruent") or attributively (e.g., "an incongruent statement").
Examples
  • General Use:
    • His cheerful demeanor was incongruent with the somber news he had just delivered.
    • The modern glass extension felt incongruent with the historic architecture of the original building.
  • Mathematical Use:
    • The two triangles are incongruent; their side lengths are different.
Advanced Usage
  • In Psychology/Cognitive Dissonance: Refers to conflicting attitudes, thoughts, or beliefs held simultaneously by an individual, creating mental discomfort.
    • Experiencing incongruent beliefs about health can lead to stress.
  • In Communication: Describes a mismatch between verbal and non-verbal messages.
    • Her words of praise were delivered with an incongruent tone of sarcasm.
Variants and Related Words
  • Incongruence (noun): The state or quality of being incongruent.
    • The incongruence between his actions and his words was confusing.
  • Incongruous (adjective): Similar in meaning but often used to describe something that is strikingly out of place or absurd in its context.
    • The clown at the formal dinner was an incongruous sight.
Synonyms
  • Inconsistent: Not staying the same throughout; containing parts that do not agree.
  • Incompatible: Incapable of existing together in harmony.
  • Discordant: Disagreeing or incongruous; lacking in harmony.
  • Mismatched: Unsuitably or incorrectly paired.
Antonyms
  • Congruent: In agreement or harmony; corresponding.
  • Consistent: Acting or done in the same way over time, especially so as to be fair or accurate.
  • Compatible: Able to exist or occur together without conflict.
  • Harmonious: Forming a pleasing or consistent whole.
Related Phrases/Idioms
  • Stick out like a sore thumb: To be very obviously different or incongruent in a particular situation. (This idiom conveys a similar idea of being noticeably out of place.)
    • The bright red sofa stuck out like a sore thumb in the minimalist, white room.
incongruent

The two shapes are incongruent with each other.

Adjective
  1. not congruent

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