The Yucca family, including genus Yucca, shares a close relationship with Agavaceae plants like century plants and Spanish bayonets. These plants exhibit similar morphological and genetic characteristics, such as leaves with sharp edges, showy flowers, and fleshy fruits. Though not considered cacti, the Yucca family is closely related to cacti like saguaro, prickly pear, and barrel cactus, sharing features like thick stems and protective spines. However, Yuccas have distinctive aspects such as fibrous roots and a wider distribution compared to traditional cacti.