During which clash, before colonists declared independence from britain, did the american rebels succeed in conquering the british troops they were up against and how? the battle of bunker hill: the continental army attacked british soldiers from behind trenches leading to a british retreat, despite three attempts to take the hill. the battle at lexington: minutemen at lexington ambushed british troops and prevented them from proceeding to concord to confiscate the patriots’ military supplies. the burning of falmouth: falmouth patriots captured british ships carrying weapons and supplies and averted a british naval fleet intent on burning down their town. the battle of fort ticonderoga: benedict arnold’s and ethan allen’s men launched a surprise early morning attack on fort ticonderoga and captured the fort the attack on quebec: general arnold’s and colonel montgomery’s troops successfully took over quebec after launching an attack late at night.