According to the map, what was italy’s status in 1871?

italy was partially united.
italy was fully united.
italy was partly under austrian rule.
italy was divided in nation-states.

Correct  

Explanation:

You didn't attach a map, so I've done so below (map credit: AgeofTheSage.org).

All of Italy had been unified by 1871.  

Giuseppe Mazzini (1805-1872) had been an early promoter of the cause of Italian nationalism during the 19th century, at a time when the Italian peninsula was divided into many smaller entities.  He founded the group known as Young Italy and was a major figure in the Italian unification movement known as "Risorgimento" ("rising again").  He was a strong voice calling for all Italians to unite together in a republic.

The actual unification process came toward the end of Mazzini's life, led by political and military figures.

Count Camillo di Cavour was prime minister of the Kingdom of Piedmont/Sardinia, serving under King Victor Emmanuel II.  Cavour and King Victor Emmanuel II led the cause of unification from the north of Italy, working southward.  

Giuseppe Garibaldi was a revolutionary military leader who recruited an army and led the battle for unification, starting in Sicily and southern Italy and working northward.  Garibaldi ultimately turned over the territories he conquered to Victor Emmanuel II, so that Italy could become united.

The last part of Italy to annexed were the Papal States, and that happened by a referendum vote of the people there, in 1870.

italy was fully united

Explanation:

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second option

they lost control of territory in the middle east, but preserved turkey's political independence.