Adapt : to change in accordance with the need or situation.
Adept : to being naturally skillful in any particular area.
Adopt : to become legal parents of a child that is not their own.
Usage of Adapt:
1) One must adapt to the changes in order to progress.
2) The play has been adapted to suit children.
Usage of Adept:
1) These thieves are adept at breaking into locked houses.
2) She's very adept at dealing with the media.
Usage of Adopt:
1) People should come forward and adopt the orphans