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Following G.~Gr\"atzer and E.~Knapp, 2009, a planar semimodular lattice $L$is \emph{rectangular}, if~the left boundary chain has exactly onedoubly-irreducible element, $c_l$, and the right boundary chain has exactly onedoubly-irreducible element, $c_r$, and these elements are complementary.  The Cz\'edli-Schmidt Sequences, introduced in 2012, construct rectangularlattices. We use them to prove some structure theorems. In particular, we provethat for a slim (no $\mathsf{M}_3$ sublattice) rectangular lattice~$L$, thecongruence lattice $\Con L$ has exactly $\length[c_l,1] + \length[c_r,1]$ dualatoms and a dual atom in $\Con L$ is a congruence with exactly two classes. Wealso describe the prime ideals in a slim rectangular lattice.

Applying the Cz\'edli-Schmidt Sequences to congruence properties of planar semimodular lattices