  We re-examine the issue of singularity resolution in homogeneous loop quantum
cosmology from the perspective of geometrical entities such as expansion rate
and the shear scalar. These quantities are very reliable measures of the
properties of spacetime and can be defined not only at the classical and
effective level, but also at an operator level in the quantum theory. From
their behavior in the effective constraint surface and in the effective loop
quantum spacetime, we show that one can severely restrict the ambiguities in
regularization of the quantum constraint and rule out unphysical choices. We
analyze this in the flat isotropic model and the Bianchi-I spacetimes. In the
former case we show that the expansion rate is absolutely bounded only for the
so called improved quantization, a result which synergizes with uniqueness of
this quantization as proved earlier. Surprisingly, for the Bianchi-I spacetime,
we show that out of the available choices, the expansion rate and shear are
bounded for only one regularization of the quantum constraint. It turns out
that only for this choice, the theory exhibits quantum gravity corrections at a
unique scale, and is physically viable.
