UCI (13-1), ranked No. 14 in the USA Today/ESPN poll, has now won six straight, all by four or fewer runs.
Summers allowed four hits and one earned run in 6 1/3 innings, while Nick Hoover added a perfect relief inning to a bullpen that has been consistently impressive in 2011.
"The bullpen has really been the best part of our pitching," said UCI Coach Mike Gillespie, who praised Summers and Whitehouse foremost among Friday's mound quartet.
"We had to have Summers settle down and he did, and he started throwing his changeup for a strike and it made a difference," Gillespie said. "And that was good stuff from Whitehouse. It was really important to him. His life last year was not fun all the time, so this was a good deal for him."
Whitehouse worked only six innings as a freshman, allowing eight hits and three earned runs. He walked seven and struck out 10. This season, he has thrown 7 1/3 innings, surrendering four hits and two earned runs. He has nine strikeouts and only one walk.
"He has got a little cockiness this year and I like it," Summers said of Whitehouse. "He's definitely just getting after guys and he just doesn't care. He's not scared and I know he's going to throw his cutter and he knows the guys aren't going to hit him.
"He picked me up huge. He has been a guy for us [this season] and he's going to continue to be a guy for us."
Whitehouse said the most clutch performance of his career was also meaningful because Ted Silva, the UCI pitching coach the previous two seasons, was in the opposing dugout with the same job at LMU (12-7).
"It was a big thing for me," Whitehouse said. "Doing this tonight was really important to me, just to show Silva what I had. I competed and it worked out."