MongoDB allows one to find out which geographical features intersect with which other geographical features. MongoDB provides the function $geoIntersects which takes $geometry as a parameter in order to perform this intersection.
A common example would be finding out how many bridges cross one of the rivers in Paris. In order to complete the query, we need a $geometry which contains the coordinates of all the nodes or points which make up the river.

The query would then look as follows:
db.ParisCollection.find(
{
loc: {
$geoIntersects: {
$geometry: {
type: "LineString" ,
coordinates: [
[ [ 0, 0 ], ... <all coordinates which make up the river> ]
]
}
}
}
}
)
This query would return every object in the ParisCollection collection which intersects with the specified LineString. These would be each bridge which crosses the river.