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No, these shapes cannot be nonpolar because of the inherent asymmetry of the molecules. The lone pair in each shape pushes the other atoms so bond lengths are slightly different than that of their arrangement structure counterparts. Thus, the dipole vectors will not cancel out.
If the atoms in the molecule are symmetrical, the charges are balanced by each other. The molecules are considered to be nonpolar. However, if the molecule is asymmetrical, it is considered to be polar. So if it is lopsided, it is polar.
To be non polar, the molecule must be symmetric. This requires the shape to be linear, trigonal planar, and tetrahedral, which allows the net dipole moment to be zero if the atoms surrounding the central atom are the same.
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