Question: When did the majority party of the branch of government that the President calls to support appointments to the USAF gain control in the House?

Knowledge 1: United States Air Force
The Department of the Air Force is one of three military departments within the Department of Defense, and is managed by the civilian Secretary of the Air Force, under the authority, direction, and control of the Secretary of Defense. The senior officials in the Office of the Secretary are the Under Secretary of the Air Force, four Assistant Secretaries of the Air Force and the General Counsel, all of whom are appointed by the President with the advice and consent of the Senate. The senior uniformed leadership in the Air Staff is made up of the Chief of Staff of the Air Force and the Vice Chief of Staff of the Air Force. [SEP] Knowledge 2: Party leaders of the United States Senate
The Senate is currently composed of 51 Republicans, 47 Democrats, and 2 independents, both of whom caucus with the Democrats. [SEP] Knowledge 3: United States House of Representatives
The presiding officer is the Speaker of the House, who is elected by the members thereof and is therefore traditionally the leader of the controlling party. He or she and other floor leaders are chosen by the Democratic Caucus or the Republican Conference, depending on whichever party has more voting members. The House meets in the south wing of the United States Capitol.
Knowledge 1: United States Air Force
The Department of the Air Force is one of three military departments within the Department of Defense, and is managed by the civilian Secretary of the Air Force, under the authority, direction, and control of the Secretary of Defense. The senior officials in the Office of the Secretary are the Under Secretary of the Air Force, four Assistant Secretaries of the Air Force and the General Counsel, all of whom are appointed by the President with the advice and consent of the Senate. The senior uniformed leadership in the Air Staff is made up of the Chief of Staff of the Air Force and the Vice Chief of Staff of the Air Force. [SEP] Knowledge 2: United States House of Representatives
The presiding officer is the Speaker of the House, who is elected by the members thereof and is therefore traditionally the leader of the controlling party. He or she and other floor leaders are chosen by the Democratic Caucus or the Republican Conference, depending on whichever party has more voting members. The House meets in the south wing of the United States Capitol. [SEP] Knowledge 3: 110th United States Congress
The Democratic Party controlled a majority in both chambers for the first time since the end of the 103rd Congress in 1995. Although the Democrats held fewer than 50 Senate seats, they had an operational majority because the two independent senators caucused with the Democrats for organizational purposes. No Democratic - held seats had fallen to the Republican Party in the 2006 elections. Democrat Nancy Pelosi became the first woman Speaker of the House. The House also received the first Muslim (Keith Ellison) and Buddhist (Hank Johnson and Mazie Hirono) members of Congress.
Knowledge 1: United States Air Force
The Department of the Air Force is one of three military departments within the Department of Defense, and is managed by the civilian Secretary of the Air Force, under the authority, direction, and control of the Secretary of Defense. The senior officials in the Office of the Secretary are the Under Secretary of the Air Force, four Assistant Secretaries of the Air Force and the General Counsel, all of whom are appointed by the President with the advice and consent of the Senate. The senior uniformed leadership in the Air Staff is made up of the Chief of Staff of the Air Force and the Vice Chief of Staff of the Air Force. [SEP] Knowledge 2: United States House of Representatives
The presiding officer is the Speaker of the House, who is elected by the members thereof and is therefore traditionally the leader of the controlling party. He or she and other floor leaders are chosen by the Democratic Caucus or the Republican Conference, depending on whichever party has more voting members. The House meets in the south wing of the United States Capitol. [SEP] Knowledge 3: 2010 United States House of Representatives elections
Republicans regained control of the chamber they had lost in the 2006 midterm elections, picking up a net total of 63 seats and erasing the gains Democrats made in 2006 and 2008. Although the sitting U.S. President's party usually loses seats in a midterm election, the 2010 election resulted in the highest loss of a party in a House midterm election since 1938, and the largest House swing since 1948. This also happened to be the Republicans' largest gain in House seats since 1938. Republicans gained the most in New York state where they picked up six seats, defeating five incumbents and winning an open Democratic district. The heavy Democratic Party losses were attributed to anger with President Obama, opposition to the Affordable Care Act, large budget deficits and the weak economy. This was also the third consecutive midterm election in a president's first term where the Republican Party has made gains in the House of Representatives, as well as the second consecutive midterm election where party control of the said chamber changed hands. Notable freshmen included future Senators Cory Gardner, Todd Young, James Lankford, and Tim Scott, future Governor of Delaware John Carney, future Director of the Office of Management and Budget Mick Mulvaney, future Secretary of State Mike Pompeo, future Lieutenant Governor of Arkansas Tim Griffin, and future Louisiana Attorney General Jeff Landry.

Answer: the 2010 election