This paper is concerned with an experimental investigation of the excitation of lattice resonances in a single periodic (square) array of glass inclusions embedded in an elastic matrix. A normally-incident plane longitudinal wave is used to excite the resonances. The excitation of the lattice resonances is identified through a comparison of the transmission and reflection spectra of the periodic layer with those of an equivalent random layer. At the lattice-resonant frequencies, standing shear waves are excited within the plane of the layer along certain directions of lattice symmetry. These waves are measured along five different symmetry directions by the use of shear wave transducers. The transmission and reflection spectra reveal at least three lattice resonances; these are corroborated by the shear wave spectra.