Presented are construction roofing and siding tiles with optimized reinforcement rib structures, methods for making and methods for using such rib-reinforced tiles, and synthetic hollow-back roof tiles with force-distributing structural rib patterns. A construction tile, which may be a polymeric roof tile, includes a tile body with a front face, a rear face opposite the front face, and a tile frame that projects from and extends around the perimeter of the rear face. One or more fastener bosses project from the rear face of the tile body; each fastener boss receives therethrough a fastener to thereby mount the construction tile to a support surface. A network of reinforcement ribs project from the rear face of the tile body and intersect the fastener boss(es). The reinforcement ribs extend between the fastener boss(es) and the tile frame to thereby transmit forces from the tile body's peripheral edge to the fastener boss(es).