Disclosed is a polished translucent co-extruded sheet having utility as a light diffusing protective cover or sign face for light emitting diode (LED) light sources and other purposes. The sheet is comprised of (a) a particle layer containing particles having a mean particle size of about 4 to 100 microns and having a particle size distribution of between 1-110 microns, at a loading of 1 to 60% melt blended with a thermoplastic matrix, wherein the particle and matrix have refractive indices that differ by greater than 0.001 units of each other when measured in conformance with ASTM D 542; and (b) at least one substrate layer comprised of thermoplastic compositions, wherein the substrates have a refractive index within 0.2 units of the refractive index of the particle layer matrix when measured in conformance with ASTM D 542.