Mentor: Yes it does. Infinity represents something that has the potential to keep going. For any
given value a larger value can always be found.
Student: So a plane stretches out to the end of the universe.
Mentor: Yes, but more than that. The end of the universe represents an ending. Something that can be
considered infinite does not end. In actuallity nothing that exists can be infinite. It just
has the potential to continue like our number system or a line. Now, can any one remember what
a line is?
Student: A line is made up of at least two points that are on a straight path.
Mentor: Yes, very good. Let's draw one.
Mentor: Now, does anyone have an idea of what a ray is?
Student: The beam of light that comes out of a ray gun.
Mentor: Good idea. A ray gun has a starting point and it goes on forever if it never hits its target.
A ray starts at one point and it continues out to infinity.
Mentor: Let's draw a ray.
Student: So, what is the difference between a line and a ray?
Mentor: A line goes on to infinity in both directions, but a ray stops on one end. If you cut a line
in half, you make two rays. Now, can anyone guess what a line segment is?
Student: Is it a line with two ends?
Mentor: Exactly right. A line segment is part of a line that has two endpoints. Let's draw one on