Final answer:
The Sage Mother Hall at Jinci was built during the Song Dynasty, a time of cultural and architectural advancement in China, influenced by religious movements such as Buddhism and Daoism.
Step-by-step explanation:
The Sage Mother Hall at Jinci was built during the Song Dynasty. This period in Chinese history is well-documented for its rich cultural development and architectural accomplishments. The Song Dynasty, which followed the Tang and preceded the Yuan Dynasty, is renowned for its advancements in technology, philosophy, and the arts. The hall itself is a testament to the architectural ingenuity of the time, likely using a wood support system that was prevalent in the era, involving carved wooden joints and brackets, as found in other structures from the same period.
Buddhism and Daoism had significant influences on the culture and architecture during this time. Notably, Empress Wu of the Tang Dynasty, who reigned before the Song Dynasty, erected monumental Buddhist structures, demonstrating the religio-political intertwining that characterized the period before the construction of Jinci's Sage Mother Hall.