False. The moon keeps the same face toward the earth because it does rotate on its axis. The trick is that it rotates once around in the same time it takes it to orbit the earth. They are locked in synchronism with each other. Think of a tennis ball with a dot on its surface orbiting around a basketball. In order to keep the dot facing the basketball, you will have to slowly turn the tennis ball on its axis as it orbits the basketball; by the time you've completed one orbit the tennis ball will have rotated 360 degrees.