What Are Points?

Points are defined by coordinates

Points are spots in space! They don't have any area or perimeter, because they aren't shapes. You can define points by using coordinates:

Each of the dots above are points! Remember, though, that the dots are just ways for us to show where points are—in reality, the points themselves would be at the dead center of the dot, since points aren't shapes.

To define points, you'll need sets of coordinates with as many values in them as there are dimensions in the space you're working with. If you're using 2-D space (like the figure above), you'll need $2$ values: $(x,y)$. If you're working with 3-D space you'll need $3$ values: $(x,y,z)$. If your space has four dimensions, you'll need $4$ values... and so on for more dimensions.

We can use use two points to define lines, segments, and rays, or we can use three to define planes or angles.