Final answer:
The statement is false; while many materials were quarried nearby, not all stones used in pyramid construction were local, with some sourced from distances as far as over 500 miles away.
Step-by-step explanation:
The statement "All of the stones used to build the pyramids at this time were taken from nearby rock quarries" is false. While many of the stones used for the construction of the Egyptian pyramids, such as the limestone, were quarried nearby, notably from the Giza plateau itself, not all materials came from close proximity. For example, granite used in the pyramids was quarried in Aswan, which is more than 500 miles away from Giza. Moreover, other ancient civilizations also took on the challenging task of transporting large stones for their structures from distant locations, such as the bluestones of Stonehenge that were transported approximately 150 miles.