The Point
A point is like the tiniest dot you can imagine. It is so small that it doesn't take up any room at all. It's not an actual object, because it doesn't take up any space. It's the idea of a point - the idea of the tiniest spot. When we draw a point with our pencil, we make it big enough to see, but that's much bigger than a point really is.
Sometimes a point can be the endpoint of a line, if the line begins at a certain point and then stretches off to infinity from there. Two points show you where a line goes - one of the axioms or beginning ideas of geometry is that there is a line that connects any two points, but only one line and no more. Three points, if you connect them with lines, make a triangle, and four points make a rectangle, or a trapezoid, or a rhombus (a quadrilateral).
Points are also very important in drawing a circle: we can think of a circle as the set of points that are all the same distance from one center point of the circle.
Main Geometry page
To find out more about geometry, check out these books from Amazon.com or from your library:
