Final answer:
The first major military engagement of the American Revolution occurred near Lexington and Concord on April 19, 1775, featuring the Minutemen and initiating with the 'shot heard around the world.'
Step-by-step explanation:
The first major military engagement of the American Revolution took place near Lexington and Concord. On April 19, 1775, the first “battle” of the Revolutionary War occurred when the British encountered the colonial militia including the Minutemen in Lexington. A confrontation on the Lexington Green resulted from the British troops attempting to disperse the assembled militia. Shortly after, the colonial militia met with British forces at Concord's North Bridge, where the “shot heard around the world” was fired, marking the official start of the Revolutionary War.