close (to move something so as to cover an opening): Do you mind if I close the door?
shut (to close or to become closed): He shut the door on my fingers. The gate swung shut behind me.
slam (to shut forcefully and loudly): He slammed the door behind her angrily.
lock (to shut with a lock): Please lock the door before you leave.
bolt (to fasten with a bolt): Let me bolt the back door.
fasten (to close and lock or bolt): We fastened all the doors and windows securely.