python - How to map a point to a polygon label from a shapefile

I have a shapefile that breaks the city of San Francisco up into a number of different districts depending on who your supervisor is.

I need to make a lookup tool that takes a single long lat value and says which supervisor district the point lies in. The supervisor district is one of the attributes of the shapefile.

How would I go about doing this in an efficient manner?

Edit 1: Seems like something like this is what I'm looking for. Trying to figure out how I access the attributes once an intersection is found