Eddie House, left, celebrating with Ray Allen during the fourth quarter of the clinching Game Six of the NBA Finals against the Lakers, will be back with the Celtics next season.

AP / Elise Amendola

BOSTON — Eddie House had virtually disappeared from the Boston rotation during the Celtics’ run to the NBA title. When he got in the game, though, he showed his worth.

House, who made a key 3-pointer while pouring in 11 points in 25 minutes in Game Four against the Los Angeles Lakers, agreed to terms with the defending champions yesterday. Tony Allen, another backup guard whose development slowed when he tore ligaments in his knee during the 2006-07 season, also re-upped with the team.

The Celtics lost sixth man James Posey to free agency last week, but yesterday’s deals give the team a chance to return most of its key players when it goes for an 18th title next season. The five starters are under contract, and only the injured Scot Pollard and aging veterans P.J. Brown and Sam Cassell are left on the market.

Although better suited as a shooting guard, House was the backup to point guard Rajon Rondo for most of the regular season, averaging 7.5 points and 19 minutes per game. After Boston signed Cassell in March, House’s role was reduced. He played only two minutes over six games late in the Eastern Conference finals and early in the NBA Finals against Los Angeles.

But in Game Four against the Lakers, House scored nine of his 11 points in the second half, including a baseline jumper with 4:07 left to give Boston its first lead of the game, 84-83. The Celtics went on to win in six games for their unprecedented 17th NBA championship.

Allen was coming into his own as a rising star, averaging 19 points in a 14-game span for the otherwise woeful Celtics in December 2006 before he blew out his knee on a meaningless breakaway dunk and missed the rest of the season. He has shown signs of returning to that form, but his minutes have largely gone elsewhere.