Checking "connectedness'' of line shapefile in ArcMap?

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I inherited a line shapefile in ArcMap that is used to represent a road network. The problem is that the road network is pretty large and it is impossible for me to:

1. Tell if the end of each line (road segments) is "connected" to either an edge, vertex, or the end of another line (road segment); and
2. Tell if the entire road network is "connected" - i.e., can I trace a route from any point on the road network to any other point on the road network?

Is there a way to accomplish this in ArcMap? That is, is there a function that will allow me to highlight line segments that do no connect to other line segments, or something similar that would allow me to answer the two questions above?



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