Question

____is the term used for assigning the responsibility of completing a task to another person

Answer 1

Delegate is the term used for assigning the responsibility of completing a task to another person.

If you delegate a task to someone, you are entrusting that task to another person. Usually the person that delegates a task has seniority over the other person. There are many synonyms for delegate that would also be appropriate to use in the blank, like transfer or assign.

Answer 2

Your answer would be Transfer/Transferring.