State's Anton Hutchins, who finished with a team-high 20 points, hit a basket before halftime to cut the lead to six.
State kept the game close into the second half, as a Victor Sharpe 3-pointer made it a 55-50 contest. A 3-pointer by Terrell Lipkins, who finished with 24 points, six assists and five rebounds, extended the lead to eight.
On a rebound at State's end and after a brief scuffle, technicals were whistled on State's David Ford, then on State's Raymon Austin and UC's Quincy Washington. The Golden Eagles extended the lead to 67-53 with 13:04 left when Poore was whistled for a technical.
State managed to keep UC within reach until the Golden Eagles broke free by the midway point of the second half.
"We told our guys to keep it close until the end and if we keep it close to the end, the pressure's on them," said Poore, who has won three tournament titles since 2006.
"Maybe the rim gets a little smaller and things like that. They hit a couple shots and I thought we hit a couple bad ones.
"We didn't finish some, we didn't hit some free throws, we didn't get some loose balls. It stretched out from five to 15 or 16, then we had to go speed up."
Evan Faulkner finished with 20 points to increase his average in the last five games to 17.4 points. Washington came off the bench for 11 points.
David Ford had 18 points and nine rebounds for State, while Jalen Walker added 15 points. The game also marked the end of the careers of Ford, Brandon Ross and Howard Douglas III.
The season continues for UC, which faces Wheeling Jesuit on Thursday.
"They've (Wheeling Jesuit) had our number, but we have to win at some point," Downey said.
Contact Assistant Sports Editor Rich Stevens at richstev...@dailymail.com or 304-348-4837.