The Wildcats, now 16-12 overall and 4-12 in the Big 12, controlled the contest from the tip and led by as many as 14.
In fact, Kansas State led 40-35 at the half behind freshman forward Ashley Sweat's 14 first half points. For the fifth consecutive game Sweat led the Cats in scoring. She set a career high in points with 25 on 10 of 18 shooting from the field and four of four from beyond the arc against the Cyclones.
"I think we were in a great position to win the game. We just have to take this horrible feeling from this loss and try to come back and work on things to put us in a position to make sure we don't have this type of loss again."
Coggins finished with four points on two of 14 shooting from the field, and seven turnovers, including two critical mistakes in the final two minutes of the game.
Medders picked off one of those errant passes and took it to the basket to tie the game at 59 with 1:53 on the clock.
K-State regained the lead on a basket from Sweat in the paint and had an opportunity to increase its advantage to four with 40 seconds remaining but junior Shana Wheeler missed the front end of a one-and-one. And the Wildcats' mental nightmare at the free throw line continues. They finished six of 16 (37.5 percent) from the stripe.
"This was a game much like several we've played that you could begin with one element of the game, free throws, and say that you had an opportunity to win the game if you shoot your free throws well," K-State coach Deb Patterson said.
The Cyclones, 21-7 and 9-6, took full advantage on the other end of the court as Medders found a wide-open Ronhovde for a three-pointer with 28 seconds left on the clock.
"I think when you've been playing as much as Lyndsey (Medders) and I have together I think we both have confidence in each other," Ronhovde said. "Honestly, when she kicked it to me, as soon as I released it I knew it was going in."
The Cats tried to get it Sweat at the end of the game, but Coggins' pass was intercepted again by Iowa State.
Medders paced the Cyclones with 16 points and Ronhovde finished with 12.
Sophomore point guard Shalee Lehning scored her fifth career double-double with 15 points and 11 rebounds. She also dished out seven assists. Wheeler added 10 points and nine boards.
Kansas State wraps up the regular season at home on Wednesday against Oklahoma State.