Answer :
The answer is The Colombian government would not allow the U.S to have control over the Panama Canal Zone. The territory around the canal was owned by the U.S till 1999.
The statement that explains why Roosevelt offered U.S. naval support to Panamanian rebels fighting for independence from Colombia is The Colombian government would not allow the United States to have control over the Panama Canal Zone. The United States helped Panama declare independence from Colombia, then negotiated for the canal. On November 3, 1903, Panama with United States Navy support revolted against Colombia and became a new republic. The U.S. gained the rights in perpetuity to the canal strip.