The correct answer to this open question is the following.
You did not include any information, options, or boxes to answer this question. However, doing some research we can say the following.
-Washington and his troops captured almost the entire Hessian force of the British army. We are talking about the Battle of Trenton.
-The French recognized US independence and sent military support to the Patriots. Here we are talking about the Battle of Saratoga.
-The British recognized the independence of the United States by signing the Treaty of Paris.
The Battle of Trenton was fought on December 26, 1776. There, in Trenton, New Jersey, the Continental troops led by General Gorge Washington captured almost the entire Hessian force of the British army.
After the Battle of Saratoga (September-October, 1777), the Colonial Army had defeated the troops of England. It represented a major victory for the American colonies to the degree that France -who was a big rival of England- decided to support the colonies with weapons and supplies.
The Revolutionary War officially ended with the signing of the Treaty of Paris of 1783. The government of the new nation decided to send to Paris, France two prominent founding fathers to sign the treaty. They were Benjamin Franklin and Jhon Jay.