A prosthetic implant replaces hyaline cartilage in a synovial joint with a flexible polymer sliding surface, preferably of hydrogel, on a segmented support with an array of adjacent segments to which the hydrogel is molded. Adjacent segments are laterally and angularly displaceable permitting the implant to conform to rounded or irregular surfaces or to be rolled or folded for arthroscopic placement. Tension cables threaded through segments along a circuit can cinch segments together for stiffening the supporting layer and/or the cable can pull the implant against a bone surface. Adjacent segments can have inter-engaged structures. In some embodiments the segments are carried on a flexible foil or fibrous sheet.