ALVOR, Portugal — After a slow start in first half, the United States women's soccer team got the boost they needed from Hawai'i's Natasha Kai.

Kai, the Kahuku High and University of Hawai'i alum, scored the first of the United States' four second-half goals, beating Norway, 4-0, yesterday in the Algarve Cup, setting up a showdown with Denmark in a rematch of last year's final.

A mistake by Norwegian goalkeeper Ingrid Hjelmseth allowed Natasha Kai to break the deadlock in the 55th minute. Hjelmseth placed the ball on the ground after an American attack and Kai, lurking lurking to the goalie's left, kicked it into the goal.

It was Kai's first goal of the year, and her ninth international goal.

"They had the better of it in the first half," Heather O'Reilly said. "Kai's energy and her goal inspired us in the second."

Two minutes later, Abby Wambach scored on a cross by Carli Lloyd. O'Reilly got her third goal of the tournament in the 65th with a header.

Substitute Amy Rodriguez got the fourth goal with a weak shot in the 90th that Hjelmseth fumbled. The United States has scored 10 goals so far in the tournament.

"You have to believe in what you're doing, you have to relax," U.S. coach Pia Sundhage said. "This game has taught me a lot. You must continue with what you set out to do."

The U.S. finished 3-0 in Group B. Denmark defeated Finland, 1-0, yesterday in Group A.

Last year, the U.S. defeated Denmark, 2-0, to win the Algarve Cup for the fifth time.

World champion Germany defeated Sweden 2-0, and will face Norway in the third-place game.