Cut off and Close off

Cut off verb - To bring (as an action or operation) to an immediate end.

Close off and cut off are semantically related in prevent topic. In some cases you can use "Close off" instead a verb "Cut off".

Close off verb - To disallow entry into (a place) by means of a physical barrier at the entry point.

Cut off and close off are semantically related in obstruct topic. You can use "Cut off" instead a verb "Close off", if it concerns topics such as isolate, discriminate and separate.