Polygon Geometry Tests

In the vein of the last post but with polygons this time.  Draw it out and see what you think the answers should be.

import arcpy
import os
square = [[0.0,0.0],[0.0,1.0],[1.0,1.0],[1.0,0.0]]
small_square = [[0.1, 0.1],[0.1, 0.9], [0.9,0.9], [0.9,0.1]]
pnt = arcpy.Point()
array = arcpy.Array()
prjFile = os.path.join(arcpy.GetInstallInfo()['InstallDir'],
                       "Coordinate Systems/Geographic Coordinate Systems/World/WGS 1984.prj")
SR = arcpy.SpatialReference(prjFile)
for a_pnt in square:
  pnt.X = a_pnt[0]; pnt.Y = a_pnt[1]
  array.add(pnt)
poly1 = arcpy.Polygon(array, SR)
array.removeAll()
for a_pnt in small_square:
  pnt.X = a_pnt[0]; pnt.Y = a_pnt[1]
  array.add(pnt)
poly2 = arcpy.Polygon(array, SR)
array.removeAll()
pnt1 = arcpy.PointGeometry(arcpy.Point(0.0, 0.0), SR) #note
print "poly 1 contains poly2 :", poly1.contains(poly2)
print "poly 2 contains poly1 :", poly2.contains(poly1)
print "pnt1 within poly1", pnt1.within(poly1)
print "poly1 overlaps pnt1", poly1.overlaps(pnt1)
print "pnt1 touches poly1 ", pnt1.touches(poly1)