//Create two polygon to test with.
var poly1 = new Polygon2<EEK>(points1);
var poly2 = new Polygon2<EEK>(points2);
//Get the instance object.
var instance = PolygonBoolean2<EEK>.Instance;
//If you know the input is good then checking 
//can be disabled which can increase perform.
//instance.CheckInput = false;
//Create  list to hold the results.
//The result is always a list of PolygonWithHoles2.
var results = new List<PolygonWithHoles2<EEK>>();
//Perform what op you wish.
//Could be JOIN, INTERSECT, DIFFERENCE, SYMMETRIC_DIFFERENCE.
if(instance.Op(POLYGON_BOOLEAN.JOIN, poly1, poly2, results)
{
    //If the op was successful the results
    //list will  contain the polygons.
    foreach(var poly in results)
    {
         poly.Print();
    }
}

if(instance.Join(poly1, poly2, results)
{
    //Polygons successfully joined.
}

if(instance.DoIntersect(poly1, poly2)
{
   //Polygons intersect.
}