The two battles that had significant impacts on Confederate supply lines are:
A) The Battle of Atlanta significantly affected Confederate supply lines because Union forces destroyed a major transportation and railway hub in the South. The capture of Atlanta by Union General William Tecumseh Sherman in September 1864 disrupted critical supply routes for the Confederacy, impacting their ability to transport goods and troops effectively.
D) The Battle of Vicksburg significantly affected Confederate supply lines because Union forces took control of an important strategic location on the Mississippi River. The fall of Vicksburg in July 1863 gave the Union control over the Mississippi River, effectively splitting the Confederacy in two and severely limiting the South's ability to move supplies and reinforcements between its eastern and western regions.
Both battles were pivotal in weakening the logistical capabilities of the Confederate army, contributing to the overall Union strategy of attrition.