Conn. Gen. Stat. § 10-241: Powers of school districts.

Each school district shall be a body corporate and shall have power to sue and be sued; to purchase, receive, hold and convey real and personal property for school purposes; to build, equip, purchase and rent schoolhouses and make major repairs thereto and to supply them with fuel, furniture and other appendages and accommodations; to establish and maintain schools of different grades; to establish and maintain a school library; to lay taxes and to borrow money for the purposes herein set forth; to make agreements and regulations for the establishing and conducting of schools not inconsistent with the regulations of the town having jurisdiction of the schools in such district; and to employ teachers, in accordance with the provisions of section 10-151, and pay their salaries. When such board appoints a superintendent, such superintendent may, with the approval of such board, employ the teachers.