Final answer:
The statement is true; a communication satellite in a geosynchronous orbit matches the Earth's rotational period, maintaining a consistent position relative to the Earth's surface.
Step-by-step explanation:
The statement that a communication satellite in geosynchronous orbit circles the Earth at the same speed as the Earth revolves on its axis is indeed true. A geosynchronous orbit is designed so that the satellite has an orbital period of exactly 1 day, which matches the Earth's rotational period. This ensures that the satellite stays above the same point on Earth's equator, making it immensely useful for applications such as communication and weather observation. Following Kepler's laws of planetary motion, a satellite in a stable orbit will maintain its orbital speed if the orbit is circular. In the specific case of geostationary orbits, which are a subset of geosynchronous orbits and are perfectly circular and aligned with the equator, the satellite indeed moves at a constant speed that matches the rotation speed of the Earth.