TCU head coach Trent Johnson encourages his players during the first half of an NCAA college basketball game against West Virginia, Saturday, Jan. 24, 2015, in Morgantown, W.Va. West Virginia defeated TCU 86-85 in overtime.

Chris Washburn and Kyan Anderson scored 16 points apiece, and TCU held on down the stretch to beat Kansas State 67-65 on Wednesday night for its first Big 12 tournament victory.

Trey Zeigler added 15 points for the ninth-seeded Horned Frogs (18-14), who had been one-and-done in their first two trips to the Sprint Center.

TCU will play No. 1 seed Kansas in the quarterfinal at 1:30 p.m. Thursday afternoon.

Thomas Gipson had 16 points and Nino Williams finished with 13 for the No. 8 seed Wildcats (15-17), who finished the season with a losing record for the first time since 2003.

TCU had built a 58-46 lead with 6 1/2 minutes left, but the Wildcats managed to trim it to 64-62 when Williams converted a three-point play with about a minute to go.

Zeigler slashed to the rim at the other end and took a no-look pass from Anderson, getting fouled in the process. He calmly made both foul shots to give the Horned Frogs a four-point cushion, and Williams missed a long 3-pointer at the other end that put the game away.

The Horned Frogs improved to 4-0 against the Wildcats in postseason play.

It was a disappointing end to a frustrating season for Kansas State, one marked by a series of injuries to key players and the suspensions of several others. Kansas State had its full complement back for the Big 12 tournament, but it didn’t seem to matter.

The Horned Frogs went on a 16-2 run in the first half while Williams and Gipson were on the bench with two fouls apiece to build a 35-27 lead by the break. Washburn added a jumper right out of the locker room, keeping a heavily pro-Kansas State crowd silent.

That’s when Kansas State made its first run of the game.

Williams and Gipson did most of the work, but diminutive guard Jevon Thomas — briefly kicked off the team last week — also contributed a basket. By the time Gipson missed a layup and Thomas got a rare putback, the Wildcats had crept within 41-39 with 16 minutes to go.

TCU regained control after Anderson knocked down a deep 3-pointer, taking advantage of a stretch in which the Wildcats went 2 for 16 from the field to push its lead to 12.

That’s when Kansas State made its second run of the game.

Just about everyone got into the act this time, Williams and Wesley Iwundu getting to the foul line and Gipson continuing to work inside. The Wildcats cut the lead down to 64-62 when Williams converted a three-point play, but TCU put the game away in the final minute.