Answer:
A. through negotiations with Colombia who controlled the isthmus of Panama
Step-by-step explanation:
The United States acquired the rights to build the Panama Canal through option:
A. through negotiations with Colombia who controlled the isthmus of Panama
Initially, the United States negotiated with Colombia to build the canal in the Isthmus of Panama. However, when these negotiations failed, the U.S. supported Panama's declaration of independence from Colombia in 1903, and shortly afterward, a treaty was signed with the newly independent Panama granting the United States the rights to construct and administer the Panama Canal.