Hyman extended the lead to 3-0 at 18:51 of the first period. Rittich made a save against Marner on a breakaway, but Hyman scored on the rebound when the puck deflected in off his skate.
"It was a weird game for me," Rittich said. "I had probably the worst luck on our team during that game. I was a little unlucky with bad bounces, but that's hockey and bad things can happen."
Hyman scored again off a pass from Marner at 4:11 of the second period to make it 4-0.
"He's been doing a great job of coming off the net of finding those soft spots," Marner said of Hyman. "The last couple games, our whole line (Hyman, Marner, John Tavares) in general has been moving the puck very well, getting into the zone. I don't think we're being too pretty in the neutral zone, and that's something moving forward that we'll need."
Tkachuk's 26th of the season made it 4-1 at 15:35 of the second.