This work expands much of the preceding research on the measures of existing street networks and provides a foundation for continued study of urban morphology in the American city. It provides a definition for categorizing street networks based on their morphological characteristics, and it uses the categories to demonstrate inconsistencies in the interdependencies of the measures of street connectivity. In summary, it argues that the simple measures of the elements in a street network, those of road segment length and block area, are not as powerful a descriptor of street connectivity as some of the more complex or composite measures. It charges that if our intent is to increase connectivity and the directness of routes within a street network (Handy, Paterson, & Butler, 2003), then we need to use a measure, such as composite connectivity, to describe configuration.