The rules that an offender must abide by while on probation are called

The rules that an offender must abide by while on probation are called Probation conditions.

Explanation:

The custodial sentence's alternative technique is the probation condition. When certain requirements established in the law are fulfilled, imprisonment or house arrest etc is possible to impose. There is a maximum chance that the people who are accused of money fraud,  larceny etc. get the probation.The federal courts website provides the information for the federal probation for the accused.