Section 5.1: Euclidean Geometry
Essential Ideas

The Essential Idea for this section is the introduction of new terminology. The terms that you need to pay attention to are those boldface terms in this section: axiom, postulate, lines, planes, surfaces, undefined terms, Euclid's postulates, theorem, parallel lines, Euclidean geometry, straightedge, line segment, compass, congruent objects, transformation, reflection, and line of symmetry. See if you can find each of these terms in this section. The constructions that you should be able to do are:

1. a line segment congruent to a given segment
2. a circle, given its center and radius
3. a line through a given point parallel to a given line.