When the moon is shaped like a ball it is called a full moon.
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It would be hard to find a line of symmetry on a moon, as it is likely to be irregularly shaped.
When half of the lighted side of the moon's surface can be seen, the moon looks like a half circle filled in. Any less than that, and the moon appears crescent-shaped. I suspect that you're not describing what you're imagining.
No, it would hit slower because gravity on the moon is 1/6 the gravity on earth.
quarter Moon if its half of a sphere then its half moon
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