Menges attended Georgetown University. She finished her college career as one of the most decorated players in program history, earning the Big East Defensive Player of the Year award and NSCAA First Team All-American honors in 2013,[2] in addition to being a three-time All-Big East selection. She captained the Hoyas' defense to 23 shutouts over her final two seasons, including a school-record 13 clean sheets as a junior in 2012. Menges appeared in 84 games (83 starts), scored two goals, and helped the Georgetown defense post 40 shutouts. She was a MAC Hermann Trophy semi-finalist in 2012 and 2013.[3]
Portland Thorns FC selected Menges with the 25th overall pick in the third round of the 2014 NWSL College Draft.[3] She made her first appearance with the Thorns on April 12, 2014, helping the team record a shutout in a 1–0 road win against the Houston Dash.[4]
Menges was a starting centerback for the Thorns when they won the 2016 NWSL Shield and the 2017 NWSL Championship. She has been a favorite of fans, winning the Supporters' Player of the Year award in 2016.[3] She came third in NWSL Defender of the Year voting in the 2021 season.[5]
Menges is the vice-president of the I'm Not Done Yet Foundation, an organization started by the Menges family after her brother Bobby's death in 2017. I'm Not Done Yet is dedicated to helping pediatric and young adult patients with cancer and other chronic illnesses.[8]