The Byzantine Empire began as the eastern half of the old Roman Empire and expanded to include much of Rome’s Mediterranean territories (1). South of the Byzantine Empire, the Arab Empire rose to power, conquering the Persian Empire (2). Over time, the Arab Empire expanded and conquered Byzantine territories in the Middle East and northern Africa (3). The Arab Empire required all conquered people to convert to Confucianism (4).

Which best critiques the accuracy of the summary?

While parts (2) and (4) are accurate, parts (1) and (3) need revision

While part (4) is accurate, parts (1), (2), and (3) need revisions.

While parts (1), (2), and (3) are accurate, part (4) needs revision.

While parts (3) and (4) are accurate, parts (1) and (2) need revision.

To critique the accuracy of the summary, let's go through each part one by one:

(1) The first statement correctly states that the Byzantine Empire began as the eastern half of the old Roman Empire. This is accurate.

(2) The second statement accurately mentions the rise of the Arab Empire and its conquest of the Persian Empire. This is also accurate.

(3) The third statement correctly states that the Arab Empire expanded and conquered Byzantine territories in the Middle East and northern Africa. This is accurate as well.

(4) The fourth statement, however, claims that the Arab Empire required all conquered people to convert to Confucianism. This is inaccurate. The Arab Empire, in fact, required conquered people to convert to Islam, not Confucianism.

Based on this analysis, we can conclude that while parts (1), (2), and (3) are accurate, part (4) needs revision. Therefore, the correct answer is: "While parts (1), (2), and (3) are accurate, part (4) needs revision."