incongruent
UK: /ɪnˈkɒŋ.ɡru.ənt/ | US: /ɪnˈkɑːŋ.ɡru.ənt/
adj. not in harmony or keeping with the surroundings or other aspects of something
adj. (mathematics) not congruent; lacking geometric or numerical equality
Derived from Latin incongruent-, combining in- (negative prefix) + congruent- (from congruere, "to agree"). The root gruent (from congruent) implies alignment or harmony, while in- negates it. The word evolved in Late Middle English to describe logical or situational mismatches, later extending to mathematical contexts (e.g., shapes that cannot overlap).
His casual attire was incongruent with the formal event.
The two triangles are incongruent because their angles differ.
The cheerful music felt incongruent with the somber scene.
Their opinions were incongruent, leading to frequent debates.
The data showed incongruent results across repeated experiments.