Final answer:
The assertion regarding Petra's architectural heritage being Nabatean with Ptolemaic and Roman elements dating back to 400 B.C.E - 100 C.E is true. Famous for its rock-cut architecture, Petra's style is a fusion of Hellenistic and native designs, reflecting the extensive cultural interactions of the Nabatean Kingdom.
Step-by-step explanation:
The statement that Petra, Jordan, encompassing the Treasury and Great Temple, is Nabatean with influences of Ptolemaic and Roman architecture dating from around 400 B.C.E to 100 C.E. is true. Petra was the capital of the Nabatean Kingdom, and it indeed features rock-cut architecture. The Nabateans were skilled in harvesting rainwater, agriculture, and stone-carving, elements that were instrumental in the city's prosperity. The architectural style of Petra was influenced not only by native Nabatean culture but also by the cultures with whom they traded, including those of the Hellenistic and Roman worlds, reflecting a blend of eastern and western traditions.
Notably, the rock-cut façade of the Treasury (Al-Khazneh) is one of Petra's most famous structures and reflects a combination of Hellenistic architecture with native Nabatean design. Similarly, the Great Temple is thought to be one of the main ceremonial structures of Petra, with an expansive site including a theater-style auditorium. Despite the primary Nabatean influence, the site does include later additions and alterations from the Roman period, evident in various architectural features and construction techniques.