Final answer:
The legislative body of Alpha Chi Omega is known as the National Council, which oversees policies and the organization's national direction.
Step-by-step explanation:
The legislative body of Alpha Chi Omega is called the National Council. This governing body is responsible for setting the policies and overseeing the direction of the organization nationally. It is composed of volunteers who are alumnae members, and their role is critical in providing guidance and leadership to the collegiate and alumnae chapters that constitute the fraternity.