Final answer:
The oil painting 'Portrait of Sor Juana Ines de la Cruz' by Miguel Cabrera belongs to the category of Native and Indigenous Art, dated to the 18th century.
Step-by-step explanation:
The oil painting 'Portrait of Sor Juana Ines de la Cruz' by Miguel Cabrera belongs to the category of Native and Indigenous Art. It is dated to around the 18th century. Cabrera was one of the notable artists of casta paintings during this time, depicting the racial and social hierarchies of the colonial era in Mexico. His works often portrayed people of mixed Spanish and Indigenous heritage, showcasing their status through clothing and accessories.