Final answer:
When a police officer arrests a person for felony theft, they can search the areas within immediate reach of the suspect without a warrant. They can also search the suspect's car if there is probable cause. However, they cannot search the entire house or any other property without a warrant.
Step-by-step explanation:
When a police officer arrests a person in front of their house for felony theft, they are generally allowed to search only the areas within immediate reach of the suspect without a warrant. This is known as a search incident to arrest. The purpose of this type of search is to ensure officer safety and prevent the destruction of evidence.
In addition to searching the areas within immediate reach of the suspect, the officer may also search the suspect's car parked on the street, as long as there is probable cause to believe that evidence related to the crime is in the car. This is known as a warrantless search of an automobile.
However, the officer cannot search the entire house without a warrant, nor can they search any other property on the premises without restriction. These searches would require a search warrant, which is a legal document signed by a judge.