A new approach to the problem of unsteady reflection of shock waves is proposed. It is shown that the type and parameters of the shock wave reflection configuration depend on the type of an object (single shock versus shock-wave configuration) incident on the reflecting surface. The concept of the reflection of a shockwave configuration is introduced, and data are presented to illustrate the fact that theoretically established boundaries of the existence of various types of configurations do not represent the transitions lines if shockwave configurations rather than single shocks interact with the surface.