Welcome to Washington Quarters Apartments Live Life on Your Terms Avon, Indiana’s finest rental community was created for those who know what they want out of life. You’ll be surrounded by natural beauty and vitality while living just moments away from fine dining, great shopping, and recreation facilities. While living at Washington Quarters Apartments in Avon, Indiana, you will appreciate our small-town feel while enjoying our big-city convenience. We’re located just minutes from downtown Indianapolis with easy access to Plainfield, Brownsburg, Danville and the Indianapolis International Airport.