Final answer:
Continents containing similar fossils from the Coal Age are South America and Africa, supporting the theory of continental drift and the existence of the supercontinent Pangaea.
Step-by-step explanation:
On the basis of fossils found in what are known as Coal Age deposits, which indicate life from the late Carboniferous to early Permian periods, the continents that had similar fossils suggesting they were once joined are South America and Africa. This evidence supports Alfred Wegener's theory of continental drift, proposing that these continents were part of a supercontinent known as Pangaea. Moreover, Wegener's hypothesis is further evidenced by the existence of the Grenville Orogeny, a mountain-building event that left geological marks on multiple continents, hinting towards a unified landmass before tectonic processes altered the landscape.