Based on the information provided about the pie chart titled "Federal Government Spending (2010)," the areas that made up half of the government's expenditures are likely to be "Defense/Homeland Security" and "Social Security," as they are listed as the two greatest spending categories.
If we assume that "Defense/Homeland Security" is the largest category and "Social Security" is the second largest, together they would likely account for a significant portion of the expenditures, potentially close to or exceeding half.
Therefore, the correct answer based on the categories listed would be:
Defense/Homeland Security and Social Security.
However, since this specific option isn't listed in your provided options, among the listed choices, the most reasonable inference based on their rankings would be:
Defense/Homeland Security, and Social Security.