  A sequence of combinatorial mutations of matching field polytopes preserves
the property of giving rise to a toric degeneration of Grassmannians. In this
paper, we find a way to check that two matching field polytopes are
combinatorial mutation equivalence using tropical hyperplane arrangements,
``literally at a glance". Our way can prove that block diagonal matching fields
are combinatorial mutations equivalent to diagonal matching fields. This is one
of main results in \cite{clarke2021combinatorial}. Our result can be regarded
as a generalization of that result.
