Turgidity refers to the state of being turgid or swollen as the result of the fluid contained; rigidity, in contrast, pertains to the state of being rigid or stiff and unbending. Both turgidity and rigidity are important features of plants as they keep the plant to stay upright. In plant cells, vacuoles are full of cell sap and provide turgidity and rigidity to the cell. Cell wall also does the same function.