In a frantic period midway through the second half five goals were scored in 26 minutes, and Rapinoe hit a stunning half volley from the corner of the penalty area to level the match at 2-2 with 20 minutes to go.
Karlsson and Erik Condra scoredgoals less than two minutes apart in the secondperiod and Anderson made 42 saves as the Ottawa Senators defeated Buffalo 2-0 on Tuesday night.
Down 2-1 after the first period, the Penguins scored twice in a 40-second span early in the second and added four goals in the first 10 minutes in the third.
Morrow and Marleau scored first-period goals to put Canada in charge and Getzlaf's third in the secondperiod seemed to have made it plain sailing for the home side.