0 to pass or give something to someone:
1 to give responsibility for something to someone else:
When samples were passed to the jurors to inspect, at least three of them handed them off without so much as a glance, suggesting their minds were already made up.
Once the quarterback hands off the ball, you have 10 players and defenses have 11.
If you are very tired, consider handing off one of your baby's night feeds to your partner.