KANSAS CITY, Mo. -- Moments before a final half of basketball that may have decided the fate of Texas’ season, coach Rick Barnes stood before a dry-erase board in the Longhorns’ locker room.

On one side, Barnes scribbled three letters: “N-I-T.”

Then he took a step to his right and jotted down four more: “N-C-A-A.”

Barnes put down the marker and looked at his team.

“Who are we?” he asked the Longhorns. “Which one would you put your name under?”

By the time Texas left the Sprint Center, the question had been answered.

In a game that so many predicted they would lose, the Longhorns fought back from an 11-point deficit and defeated Iowa State 71-65 in the quarterfinals of the Big 12 tournament. Along with propelling them into Friday’s semifinal against Missouri, the victory significantly enhanced the résumé of a Texas team that entered the contest on the NCAA tournament bubble.

Now 20-12, the Horns feel much better about their chances of earning a 14th consecutive bid under Barnes, who isn’t the type to politick to the selection committee.

He shouldn’t have to.

Texas finished 9-9 in what is generally regarded as the second-best league in the country behind the Big Ten. The Longhorns’ strength of schedule is No. 20 in the country according to ESPN's InsideRPI, and they have only one defeat (at Oklahoma State) that can be viewed as a “bad loss.”

Thursday’s victory over Iowa State also should turn some heads considering the Cyclones -- who tied for third in the Big 12 standings -- entered the game touting wins in four of their previous five contests. Texas’ win Thursday came before 18,792 people, most of whom were in support of Iowa State.

“You love to walk into other gyms and quiet their fans,” UT guard J’Covan Brown said.

Texas led 65-59 with 2 minutes, 55 seconds left before Iowa State scored six consecutive points to force a tie. But rather than flounder in the face of adversity, the Longhorns flourished.

With 36 seconds left, Brown spun into the lane and swished a floater as he was fouled. He sank the ensuing free throw to convert the 3-point play to give Texas a 68-65 lead. It was yet another huge shot for a player whose career has been defined by gut-check moments.

Brown scored seven of his game-high 23 points in the second half.

“A few seconds before I hit that shot, Coach was like, ‘Are you feeling it?’” said Brown, a junior. “I told him I was, and he let me go out and do my thing. It gives you a lot of confidence when your coach has your back like that.”

Brown’s performance this season -- he averages a Big 12-best 20.1 points -- is even more impressive considering he’s on a team that features five freshmen among its top seven players. Opposing defenses are geared to stop Brown, yet he still finds ways to score. His game winner Thursday came against Iowa State’s Chris Babb, who is regarded as one of the top defenders in the Big 12.

“[Brown] is a gifted offensive player,” Barnes said. “He has such great vision. On that last play he had three or four different options, and he picked the right one to get the ball where it needed to be.”

The Cyclones still had a chance after Brown’s clutch basket, but standout Royce White lost control of the ball on the perimeter, and it ended up in the hands of Texas forward Jonathan Holmes. Iowa State immediately fouled Holmes, and the freshman made both free throws to make it 70-65 with 22 seconds left.

Ballgame.

As proud as he was of Brown, Barnes was also ecstatic about the play of freshman point guard Myck Kabongo, who has been on a steady incline all season. Kabongo finished with 11 points, five assists and no turnovers -- Texas had only six turnovers as a team -- and he played excellent defense on Iowa State 3-point ace Scott Christopherson.

A senior, Christopherson entered Thursday’s game averaging 21.8 points in his previous five contests and had made 19 of 36 3-point attempts during that span. Pestered by Kabongo, he scored just 10 points on 4-of-13 shooting and missed four of his six attempts from beyond the arc.

As a team, the Cyclones made just five 3-pointers Thursday. They came in averaging nine per game.

Texas now advances to play another strong shooting team in Missouri. The Tigers are shooting 49.9 percent from the field, a mark that ranks third in the nation. Mizzou defeated Texas 84-73 in Columbia on Jan. 14 and 67-66 in Austin on Jan. 30.

“We feel good about this win,” Brown said. “But we can’t let our young guys celebrate too much. We’ve got another big one tomorrow.”