A linear configuration \(B \subseteq \text{\cal{F}}_{q}^{m}\) is said to be Sidorenko if, for each \(\alpha > 0\) , the number of homomorphisms from B to a linear configuration \(A \subseteq \text{\cal{F}}_{q}^{n}\) of density a is asymptotically (as \(n \to \infty\) ) at least the expected number of homomorphisms from B to an a-random subset of \(\text{\cal{F}}_{q}^{n}\) . We describe a simple reflection operation which preserves the Sidorenko property, thus producing a new family of Sidorenko configurations.