This is geometry!
A point is a tiny dot that forms the straightest, thinnest line that extends in both direction infinitely. Countless numbers of those lines all placed together without leaving any spaces create a plane. If you were to stack the planes on top of each the result is a solid. A ray has one end point and goes on forever.
A polygon is a figure with closed sides of straight line segments (two end points at the vertices) (E.g. square, pentagon, hexagon, et cetera...). A regular polygon is one which the sides have the same length. For example an equilateral triangle or a rhombus.
A polygon is a plane; a polyhedron is a solid.
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It has a curved surface.
No, but a pentagon is a polygon. A polygon is a plane shape with 3 or more straight sides.
The only convex polygon that is rigid is a triangle.
It is a closed plane shape bounded by six straight lines.
A polygon is a two dimensional shape bounded by straight lines. The moon is neither a plane shape (though it may appear as such), and it is clearly not bounded by straight sides.