Final Answer:
The battle in which Napoleon lost, leading to the solidification of Britain's naval dominance and preventing France from invading Britain, was the Battle of A. Trafalgar.
Step-by-step explanation:
The Battle of Trafalgar, fought on October 21, 1805, was a naval engagement between the British Royal Navy, led by Admiral Nelson, and the combined fleets of France and Spain commanded by Admiral Villeneuve. This battle was a pivotal moment in the Napoleonic Wars, and Napoleon's defeat marked the end of his ambitions for a European empire. The British victory at Trafalgar not only ensured Britain's naval supremacy but also thwarted Napoleon's plans for a cross-channel invasion, solidifying the strategic importance of the Royal Navy in preventing French expansion.
The significance of Trafalgar lies in its impact on the balance of power in Europe. With the defeat of the French and Spanish fleets, Britain maintained control of the seas, allowing for its imperial expansion and trade dominance. Napoleon's failure to establish naval superiority weakened his ability to enforce economic blockades against Britain and diminished the feasibility of a successful invasion. Trafalgar was a turning point that shaped the geopolitical landscape of the early 19th century, reinforcing Britain's maritime influence and restricting Napoleon's imperial ambitions.
In summary, the Battle of Trafalgar was a major naval confrontation that not only secured Britain's naval dominance but also played a crucial role in preventing Napoleon from realizing his goal of creating a European empire and invading Britain.