[ Ready? ] [ What is geo? ] [ UTs ] [ Def's ] [ Angle Types ] [ Relations ] [ Theorems ] [ Parallels ] [ Polygons I ] [ Polygons II ] [ Proofs ] [ Measurement ] [ Bisection ] [ Objects ] [ 2D ] [ Area ] [ 3D ] [ Triangles ] [ Similarity ] [ Pythagoras ]

Geometric Objects

Aim: Identify the dimensions of some common geometric objects.


0-D	1-D	2-D	3-D	?-D

0-D Objects

Zero-dimensional objects have no length, width, or height. E.g. (for example), we have in our minds the concept of a point: a location without length, width or breadth. In other words, a point has no dimension. Of course when we draw a point on paper, our representation of it has dimension, but what we mean by our spot on paper is a dimensionless point or location.

Feeling a bit Verclempt? Discuss your ideas about this in Coffee Talk Forum.

1-D Objects

We have already discussed some 1-dimensional objects such as rays and lines. These are considered one-dimensional objects because they have length only; they have no width, breadth, or height.

2-D Objects

Some two-dimensional objects that we will study are polygons and circles. These objects are considered 2-dimensional because they are flat. E.g., 2-D objects have only width and height; they have no thickness.

Quadrilaterals

3-D Objects

Often times, called solids, 3-dimensional objects take up space. They have a length, width, and a breadth (or height).

Some 3-D objects we will study are: boxes (right prisms), cylinders, cones, and spheres.

4-D Objects

As Buzz Lightyear from Toy Story would say, "To infinity and beyond!" It is quite possible to study geometry in dimensions beyond the 3 we normally perceive. These ideas are advanced and so we cannot get into it, but if you're interested, keep studying and the sky's the limit.


Geometree	Angles	Objects	Triangles	Graphs