After the Mongol leader Hulegu captured the city of Baghdad in 1258,the Abbasid Dynasty A) moved its center of power to Constantinople. B) lost its caliph, and the family moved to Egypt. C) stayed in power by converting the Mongols and convincing them that the Abbasids would rule better. D) disappeared from history forever. E) managed to escape with the lives of the entire royal family, and moved eastward into Persia.