A composite model of hadrons is used to discuss high-energy, large-angle scattering for elastic and quasielastic reactions. Arguments are given that constituent interchange should be the dominant interaction at large angles (both $\mathrm{}\left|t\right|\mathrm{}$, $\mathrm{}\left|u\right|\mathrm{}\gg m^2$), rather than gluon exchange. Using the asymptotic behavior of the electromagnetic form factors of the hadrons, predictions are made for the energy and angular dependence of a large number of processes. Detailed numerical comparisons with experiment are given for several reactions. A general discussion of the qualitative behavior of large-angle quasi-two-body processes is given. It is shown that data in this region can determine the quantum numbers and wave functions of the constituents.

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