Final answer:
France supported the colonies seeking independence from Great Britain while remaining an absolute monarchy at home.
Step-by-step explanation:
The country that was a hero abroad because of its support of the colonies seeking independence from Great Britain while continuing to be an absolute monarchy at home was France.
During the American Revolution, France provided significant military and financial support to the American colonies in their fight against the British. This support helped the colonies secure their independence and was crucial in their victory.
France's support of the American colonies was seen as heroic because it went against traditional alliances and supported a rebellion against a powerful monarchy. It also symbolized France's own aspirations for freedom and equality, which were reflected in the French Revolution that followed.