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Daniel Sprong's tiebreaking goal in the third period propelled the Washington Capitals to a 6-3 victory over the fading New York Rangers, who were knocked out of playoff contention Monday.
The Islanders are third in the East Division, one point ahead of Boston.
Varlamov became the first goalie to shut out the Rangers three times at Madison Square Garden in one season.
Mika Zibanejad and Brendan Smith also scored and Igor Shesterkin made 36 saves as New York improved to 9-2-0 in its last 11 home games.
Mika Zibanejad scored three times for his third hat trick in 22 games and seventh of his career to help lift the New York Rangers past the Buffalo Sabres 6-3 on Sunday night.
Chris Kreider and Filip Chytil also scored and Artemi Panarin had two assists to help the Rangers bounce back one night after a 3-2 loss to the Flyers.
The Rangers fell for the second straight game after four consecutive victories against the New Jersey Devils.
Jordan Eberle and Jean-Gabriel Pageau each had a goal and an assist, and Brock Nelson also scored. Semyon Varlamov stopped 25 shots to improve to 17-9-3.
Another birthday for the New York Rangers. Another big day for the birthday boy.
Pavel Buchnevich celebrated his birthday with his first career hat trick and the New York Rangers beat the New Jersey Devils 6-3 on Saturday for their third win over their Hudson River rivals in five days.
Jacob Trouba and Ryan Lindgren also scored to help New York win for the sixth time in nine games (6-1-2). Colin Blackwell had a career-high three assists and Ryan Strome added two.
Mika Zibanejad and Artemi Panarin scored and Adam Fox had assists on both goals as New York improved to 10-4-3 since March 13.
The Islanders have won eight of 11 and are 18-2-2 at home.
Since his first start against the Islanders on Nov. 21, 2018, Georgiev has more wins against the Islanders than any other NHL goaltender.
Kris Letang and Evan Rodrigues scored in the second period, and the Pittsburgh Penguins beat the New York Rangers 5-2 Thursday night.
