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Polygons!
As soon as most people see the word GEOMETRY, the word shape automatically pops into their mind. Or Euler's line. Whenever you think about shapes, the first shape; be it a square, a triangle, or a hexagon; you think of is probably a polygon. A polygon is defined as "A number of coplanar line segments, each connected end to end to form a closed shape." This bunch of gobbledygook actually means three important things
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Polygons must have sides that are straight. This means that no arcs or curves can be present in the shape if it is a polygon. This sadly eliminates circles, semicircles, crescents, and other such shapes.
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Polygons must have a continuous perimeter. This means that every line segment must touch two other line segments, so the shape is not open. This would eliminate any shape that is not "closed."
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Polygons may not have sides that overlap. Some say that these shapes are still polygons, known as self-intersecting or crossed polygons, but most properties of polygons do not apply to these, so they are best considered as two separate polygons.
Polygons have universes of properties and sub-classifications that will be covered later, throughout the Geometry section!