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The Blue Demons made just 35.5 percent of their shots in the first half but led the battle of the boards 21-13, but DePaul never threatened in the second half.
Lubick's basket gave the Hoyas a 59-38 lead and a basket and free throw by Trawick made it 67-43 with 11:41 to go.
Smith-Rivera made a 3-pointer to give Georgetown a 72-50 lead.
His free throw with 4:27 to go made it 79-59 and his 3-pointer with 2:45 made it 84-63 as Georgetown fans began to head to the exits.
DePaul has now lost 12 in a row to the Hoyas and has not won at Georgetown since Feb. 3, 1991. The Hoyas began the night tied for first in the Big East at 9-3 with Syracuse and Marquette.
Georgetown has now won 20 games four years in a row and seven out of nine years under Thompson III.
DePaul lost 86-75 at Georgetown during the 2010-11 season, the first for Purnell with the Blue Demons. The Hoyas won at DePaul 83-75 last season.
DePaul was coming off a 75-69 win Saturday at Rutgers while Georgetown won on Friday at Cincinnati for its seventh win a row. The Blue Demons ended a nine-game losing streak with the win at Rutgers.
Next up for DePaul is a home game on Saturday against Connecticut while the Hoyas play at rival Syracuse on the same day.
NOTES: The Hoyas are now 14-1 at home. ... DePaul has three players on its roster from Baltimore: junior forward Melvin (Lake Clifton), junior guard Young (Friendship Collegiate) and freshman forward Montray Clemons (Poly). ... Young entered the game with a team-high average of 16.7 points per game and Melvin was second at 16.5. ... DePaul associate head coach Ron Bradley is the former head coach at Radford.