1. not in harmony or keeping with the surroundings or other aspects of something; not fitting or appropriate
2. not identical in form; not coinciding exactly when superimposed
Usage: mathematics; geometry

Examples

• His casual attire was incongruent with the formal dinner setting.
• The cheerful music seemed incongruent with the somber mood of the memorial service.
• Her actions were incongruent with her stated beliefs about environmental protection.
• The modern glass building looked incongruent among the historic brick structures.
• The two triangles are incongruent because they have different side lengths.
• His nervous laughter was incongruent with the serious nature of the conversation.