Planar Cell Polarity (PCP) signaling polarizes epithelial cells in a plane orthogonal to their apical-basal axis. A core PCP signaling module segregates two distinct molecular subcomplexes to opposite sides of cells and coordinates the direction of polarization between neighboring cells. Homodimers of the atypical cadherin Flamingo are thought to scaffold these subcomplexes and are required for intercellular polarity signaling. Feedback is required for polarization, but whether feedback requires intercellular and/or intracellular pathways is unknown, and traditional genetic tools have limited utility in dissecting these mechanisms. Using novel tools, we show that cells lacking Flamingo, or bearing a homodimerization-deficient Flamingo, do polarize, indicating that functional PCP subcomplexes form and segregate cell-autonomously. We identify feedback pathways and propose a competitive binding-based asymmetry amplifying mechanism that each operate cell-autonomously. The intrinsic logic of PCP signaling is therefore more similar to that in single cell polarizing systems than was previously recognized.