They spoke arrogantly.
He replied arrogantly.
He arrogantly strode off after berating the woman. Arrogantly, the woman tilted her chin upward to put her nose in the air. The airline passenger arrogantly demanded to see the flight captain.
The opposite of the word arrogantly would be humbly.
The palace stood arrogantly, its grand marble pillars sneering down at the humble village below.
"We have finally captured you" the Major said arrogantly, while his Sargent-at-arms scowled fiercely at us.
There is no specific term for geeks acting arrogantly. Arrogant geeks is the word for them.
arrogantly, proudly, loftily, boastfully
Arrogance is the synonym of haughtiness. It is the appearance or quality of being disdainful and arrogantly superior.
私の watashi no (for females) 僕の boku no (for males) 俺の ore no (arrogantly)
It's a verb (like walking proudly), and a noun (a building component), so depending on your context, something like "Johnny struts arrogantly around town, we all hate him" or "That building's struts aren't strong enough to support King Kong, someone get Faye Dunaway out of there".
Arrogantly starting a war it was bound to lose. No wonder Sherman put the boot into South Carolina, which had started it all.
Insolently means done with arrogance, disdain, contempt, or insubordination. Synonyms could be arrogantly, haughtily, brashly, disrespectfully, impertinently, pertly, presumptuously, or rudely.