  We study the decays of the charmonium resonances $J/\psi$ and $\psi(3686)$ to
the final states $\Xi^{-}\bar\Xi^{+}$,
$\Sigma(1385)^{\mp}\bar\Sigma(1385)^{\pm}$ based on a single baryon tag method
using data samples of $(223.7 \pm 1.4) \times 10^{6}$ $J/\psi$ and $(106.4 \pm
0.9) \times 10^{6}$ $\psi(3686)$ events collected with the BESIII detector at
the BEPCII collider. The decay
$\psi(3686)\rightarrow\Sigma(1385)^{\mp}\bar\Sigma(1385)^{\pm}$ is observed for
the first time, and the measurements of the other processes, including the
branching fractions and angular distributions, are in good agreement with and
much more precise than the previously published results. Additionally, the
ratios
$\frac{{\cal{B}}(\psi(3686)\rightarrow\Xi^{-}\bar\Xi^{+})}{{\cal{B}}(J/\psi\rightarrow\Xi^{-}\bar\Xi^{+})}$,
$\frac{{\cal{B}}(\psi(3686)\rightarrow\Sigma(1385)^{-}\bar\Sigma(1385)^{+})}{{\cal{B}}(J/\psi\rightarrow\Sigma(1385)^{-}\bar\Sigma(1385)^{+})}$
and
$\frac{{\cal{B}}(\psi(3686)\rightarrow\Sigma(1385)^{+}\bar\Sigma(1385)^{-})}{{\cal{B}}(J/\psi\rightarrow\Sigma(1385)^{+}\bar\Sigma(1385)^{-})}$
are determined.
