Question: Where were the home games for a 2009-10 men's basketball team whose players known as Hoyas are members of a collegiate athletics conference that consisted of as many as 16 universities in the eastern half of the US and are known as the Big East Conference, played?

Context paragraphs:
2000–01 Georgetown Hoyas men's basketball team: The 2000–01 Georgetown Hoyas men's basketball team represented Georgetown University in the 2000–2001 NCAA Division I basketball season.  The Hoyas were coached by Craig Esherick and played most of their home games at the MCI Center in Washington, DC, although they played some home games early in the season at McDonough Gymnasium on the Georgetown campus.  The Hoyas were members of the West Division of the Big East Conference.  They finished the season 25-8, 10-6 in Big East play.  Their record earned them a bye in the first round of the 2001 Big East Men's Basketball Tournament, but they lost to Seton Hall in the quarterfinals.  The first Georgetown men's basketball team to appear in the NCAA Men's Division I Basketball Tournament since the 1996-97 season and the last one to do so until the 2005-06 season, they reached the West Region semifinals of the 2001 NCAA Tournament before losing to Maryland.

2002–03 Georgetown Hoyas men's basketball team: The 2002–03 Georgetown Hoyas men's basketball team represented Georgetown University in the 2002–2003 NCAA Division I basketball season.  The Hoyas were coached by Craig Esherick and played their home games at the MCI Center in Washington, DC.  The Hoyas were members of the West Division of the Big East Conference.  They finished the season 19-15, 6-10 in Big East play.  They advanced to the quarterfinals of the 2003 Big East Men's Basketball Tournament before losing to Syracuse.  After declining to participate in the National Invitation Tournament (NIT) the previous season, they accepted an invitation to play in the 2003 NIT after failing to receive an NCAA Men's Division I Basketball Tournament bid.  Making Georgetown's fourth NIT appearance in six years, they became the second Georgetown men' s basketball team in history to reach the NIT final and the first to do since the 1992-93 season, losing it to Big East rival St. John's.

2015–16 Georgetown Hoyas men's basketball team: The 2015–16 Georgetown Hoyas men's basketball team represented Georgetown University in the 2015–16 NCAA Division I men's basketball season.  The Hoyas, led by twelfth-year head coach John Thompson III, played their home games at the Verizon Center in Washington, D.C., and were members of the Big East Conference.  They finished the season 15–18, 7–11 in Big East play to finish eighth place.  They defeated DePaul in the first round of the Big East Tournament to advance to the quarterfinals where they lost to Villanova.  For the first time in John Thompson III's twelve years as head coach, the Hoyas did not make a postseason tournament.

2001–02 Georgetown Hoyas men's basketball team: The 2001–02 Georgetown Hoyas men's basketball team represented Georgetown University in the 2001–2002 NCAA Division I basketball season.  The Hoyas were coached by Craig Esherick and played most of their home games at the MCI Center in Washington, DC, although they played some home games early in the season at McDonough Gymnasium on the Georgetown campus.  The Hoyas were members of the West Division of the Big East Conference.  They finished the season 19-11, 9-7 in Big East play.  They advanced to the quarterfinals of the 2002 Big East Men's Basketball Tournament before losing to Miami in overtime.  Missing an at-large bid to the 2002 NCAA Men's Division I Basketball Tournament, Georgetown instead received an invitation to play in the 2002 National Invitation Tournament (NIT), but declined it and had no postseason play, the first Georgetown men's basketball team since the 1973-74 season to appear in neither the NCAA Tournament or the NIT.

2003–04 Georgetown Hoyas men's basketball team: The 2003–04 Georgetown Hoyas men's basketball team represented Georgetown University in the 2003–2004 NCAA Division I basketball season.  The Hoyas were coached by Craig Esherick and played their home games at the MCI Center in Washington, DC.  The Hoyas were members of the Big East Conference.  They finished the season 13-15, 4-12 in Big East play.  They lost to Boston College in the first round of the 2004 Big East Men's Basketball Tournament and had no further postseason play.  It was the first time since the 1973-74 season that Georgetown did not receive an invitation to either the NCAA Men's Division I Basketball Tournament or the National Invitation Tournament.

2008–09 Georgetown Hoyas men's basketball team: The 2008–09 Georgetown Hoyas men's basketball team represented Georgetown University in the 2008–2009 NCAA Division I basketball season.  The Hoyas were coached by John Thompson III and played their home games at the Verizon Center in Washington, DC.  The Hoyas were members of the original Big East Conference.  They finished the season 16-15, 7-11 in Big East play.  They lost to St. John's in the first round of the 2009 Big East Men's Basketball Tournament.  They received an at–large bid to the 2009 National Invitation Tournament, earning a 6 seed in one of the NIT' s regions, and lost to Baylor in the first round.

1999–2000 Georgetown Hoyas men's basketball team: The 1999–2000 Georgetown Hoyas men's basketball team represented Georgetown University in the 1999–2000 NCAA Division I basketball season.  The Hoyas were coached by Craig Esherick in his first full season as head coach; he had replaced John Thompson, Jr. in mid-season the previous year after Thompson' s resignation.  The Hoyas played most of their home games at the MCI Center in Washington, DC, although they played two home games at McDonough Gymnasium on the Georgetown campus.  They were members of the Big East Conference and finished the season 19-15, 6-10 in Big East play.  They advanced to the semifinals of the 2000 Big East Men's Basketball Tournament before losing to Connecticut.  Not invited to the NCAA Tournament, they appeared in the 2000 National Invitation Tournament (NIT) – their third consecutive NIT appearance – and advanced to the second round before losing to California.

2004–05 Georgetown Hoyas men's basketball team: The 2004–05 Georgetown Hoyas men's basketball team represented Georgetown University in the 2004–2005 NCAA Division I basketball season.  The Hoyas were coached by John Thompson III – his first year at Georgetown – and played their home games at the MCI Center in Washington, DC.  The Hoyas are members of the Big East Conference.  They finished the season 19-13, 8-8 in Big East play.  They advanced to the quarterfinals of the 2005 Big East Men's Basketball Tournament before losing to Connecticut They played in the 2005 National Invitation Tournament and advanced to the quarterfinals before losing to South Carolina.

2009–10 Georgetown Hoyas men's basketball team: The 2009–10 Georgetown Hoyas men's basketball team represented Georgetown University in the 2009–2010 NCAA Division I basketball season.  The Hoyas were coached by John Thompson III and played their home games at the Verizon Center in Washington, D.C.  The Hoyas are members of the Big East Conference.  They finished the season 23–11, 10–8 in Big East play.  They advanced to the championship game of the 2010 Big East Men's Basketball Tournament before losing to West Virginia.  They received an at-large bid to the 2010 NCAA Men's Division I Basketball Tournament, earning a 3 seed in the Midwest Region, where they were upset by 14 seed Ohio in the first round.

Big East Conference (1979–2013): The Big East Conference was a collegiate athletics conference that consisted of as many as 16 universities in the eastern half of the United States from 1979 to 2013.  The conference's members participated in 24 NCAA sports.  Three members had football programs but were not Big East football schools: Notre Dame football was independent while Georgetown and Villanova competed in the Football Championship Subdivision.  Another five schools—DePaul, Marquette, Seton Hall, St. John's, and Providence—discontinued or did not have football programs.

Supporting paragraphs: 2009–10 Georgetown Hoyas men's basketball team Big East Conference (1979–2013)
Answer: Verizon Center