circle, triangle, square and rectangle
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Parallelograms Examples: Squares and rectangles
Plane shapes you draw on paper. Solid shapes can be picked up. Examples of plane shapes would be circle, square, triangle, etc. Examples of solid shapes would be a sphere, a cube, pyramid, and so on. ■
Sphere, ellipsoid, torus, paraboloid, hyperboloid are shapes with only curved surfaces. Hemisphere, quadrant, cone and cylinder are examples of shapes with curved and plane surfaces. There are, of course, many others.
Probably angles and shapes.
There are a lot more than 4 types. Some simple examples: regular polyhedra, other polyhedra, star shapes, ellipoids (including spheres), toroids (like cycle inner tubes), shapes with two "holes" in them, totally irregular blobby shapes.