In[37]:= RegionMember[Rectangle[{0, 0}, {1, 1}], {0, 0}]
Out[37]= True
In[38]:= RegionMember[Disk[{0, 0}, 1], {Cos[2], Sin[2]}]
Out[38]= True
In[39]:= RegionIntersection[Rectangle[{0, 0}, {1, 1}],
Rectangle[{1, 0}, {2, 1}]]
Out[39]= Line[{{1, 0}, {1, 1}}]