Answer: If a moon that looks half full is on its way to increasing into a full moon, it is called a waxing gibbous moon.
Explanation: During the waxing phase, the illuminated portion of the moon visible from Earth is increasing, as the moon moves along its orbit around the Earth. When the moon is exactly half full, it is called a first quarter moon. As the moon continues to wax, it progresses from a first quarter moon to a waxing gibbous moon, and eventually to a full moon.