Minutes after Rapinoe had given her team the lead, Lavelle gathered the ball in midfield and surged forward, which has been a familiar sight here in France.
Thailand, Chile, Sweden, Spain, France, England and now the Netherlands have been swept aside by a team now unbeaten in 17 World Cup matches.
"The level around the world is going exponentially every year," Jill Ellis, the first coach to win the Women's World Cup twice, told reporters after the match.
It is the only team in this tournament which the USWNT has been unable to breach within the opening 12 minutes.
"We're second in the world and I'm very proud of that, I'm proud of the team and proud of the staff.