Question 886259: Is a complete understanding of two-dimensional geometry necessary for an understanding of three-dimensional geometry? Why?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! Geometry is all about shapes and their properties. These shapes can be 0, 1, 2, or 3 dimensions. Even more dimensions are possible - consider calculus on manifolds.
Examples
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0 dimension is a point
1 dimension is a line
2 dimensions is a plane (we see triangles, circles, parabolas, squares, rectangles, hyperbolas, polygons, etc.)
3 dimensions is solids (we see prisms, pyramids, cubes, sphere, cylinder, etc)
In geometry understanding the shapes of a particular dimension builds on the understanding of the previous dimensions. So yes, understanding 2 dimensional geometry is required before understanding 3-D geometry.
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