The term 'walk pompously' can be described by four different words: STRUT, STALK, SASHAY, and SWAGGER. STRUT is a verb meaning to walk with a proud, confident gait. STALK is a verb meaning to move in a slow, deliberate manner. SASHAY is a verb meaning to move in a showy or ostentatious manner. Finally, SWAGGER is a verb meaning to walk with an air of superiority or arrogance. All four words describe a type of walking that is done in a proud, confident, and often arrogant manner.