  Observations have revealed interesting universal properties of dark matter
(DM) halos especially around low-mass galaxies. Strigari et al. (2008) showed
that DM halos have common enclosed masses within 300pc (Strigari relation).
Kormendy & Freeman (2004) reported DM halos having almost identical central
surface densities (the $\mu_{\rm 0D}$ relation). In addition, there exists a
core-cusp problem, a discrepancy of the central density distribution between
simulated halos and observations. We investigate whether a scenario where cuspy
halos transform into cores by some dynamical processes can also explain their
universal structural properties. It is shown that a cusp-to-core transformation
model naturally reproduces the $\mu_{\rm 0D}$ relation and that Strigari
relation follows from the $\mu_{\rm 0D}$ relation for dwarf galaxies. We also
show that the central densities of cored dark halos provide valuable
information about their formation redshifts.
