Answer:
1)a single, consistent set of laws for the Byzantine Empire - this code was developed by legal scholars closed to Justinian and influenced not only byzantine law, but also ottoman law.
2)convincing the Byzantine government to fund the construction of the Hagia Sophia - the construction of the Hagia Sophia is in fact considered her greatest achievement.
3)disagreements by church leaders on interpreting the scriptures - The differences between greek-oriented churches in the east and roman-oriented churches in the west were vary deep and developed throughout the previous years.
4)Orthodox Christianity spread to Slavic cultures - these monks are in fact known the "Apostles of the Slavs", because they spread christianity among the slavic peoples.
5)It created spectacular works of art, including mosaics and frescoes. Byzantine culture was famous for its art, precisely for its mosaics and frescoes, but also for the architecture. Constantinople was at the time one of the biggest cities in the world.
6)The reconstruction of Moscow - Moscow was never part of the lands dominated by the Byzantine Empire.
7)The Varangians - "Varangians" is the slavic name for "Vikings". The Vikings began to invade slavic lands in the 9th century. They in fact founded cities such as Kiev and Novgorod, which still exist to this day.
8)He converted to Orthodox Christianity. - He in fact, analyzed various religious to decide to which to convert. He disliked Islam because of its prohibition to eat pork and drink alcohol. He decided that the loss of Jerusalem proved that God had abandoned the Jewish people. He sent emissaires to Germany to take a look at catholics churches but they were unimpressed and found no beauty in them. Finally, his emissaires went to Constantinople and impressed Vladimir with their accounts to the beauty of Hagia Sophia and the ceremonies that took place there.
9)t spread rapidly, quickly covering an area from Spain to India. Muhammad died in 632, and by the time of the Umayyad Caliphate, a century later, Islam had conquered most of the Iberian Peninsula (Portugal and Spain), and had also spread to the Indus Valley (modern Pakistan and India).
