Math 102, Mathematics for Elementary Education, with Professor jason howald, Spring 2008. 1
Homework 1 Name:
Due date: Wednesday, 1-23-08
Weight: 10 points. Grade:
Please read pages 571-575. Memorize the definitions of the bold vocabulary words first, because it will
help you understand the rest of the text.
(1) If four points happen to all lie on the same line, they are called .
(2) What’s the difference between a line and a line segment?
(3) What’s the difference between a line (in the technical sense), and something commonly called a line,
such as a pencil, rope, ray of sunlight, etc.? That is, in what ways is the mathematical notion of line
idealized?
(4) Can two points be noncollinear?
(5) Illustrate: Two lines that do not intersect, and are not parallel. Hint: Draw a box in the standard
way, then identify two of the line segments along the box.
(6) Complete these sentences, thinking in terms of 3D geometry.
(a) Through any two points, there is a .
(b) Through any three points, there is a .
(c) Through any point and any line, there is a .
(d) The intersection of a line and a plane is usually a .
(e) The intersection of two planes is usually a .