We have isolated ν̄μ charged-current quasielastic (QE) interactions occurring in the segmented scintillator tracking region of the MINERvA detector running in the NuMI neutrino beam at Fermilab. We measure the flux-averaged differential cross section, dσ/dQ2, and compare to several theoretical models of QE scattering. Good agreement is obtained with a model where the nucleon axial mass, MA, is set to 0.99 GeV/c2 but the nucleon vector form factors are modified to account for the observed enhancement, relative to the free nucleon case, of the cross section for the exchange of transversely polarized photons in electron-nucleus scattering. Our data at higher Q2 favor this interpretation over an alternative in which the axial mass is increased. © 2013 American Physical Society.