1 / 15

CHAPTER 1: Tools of Geometry

CHAPTER 1: Tools of Geometry. Section 1-3: Points, Lines, and Planes. Objectives. To understand basic terms of geometry. To understand basic postulates of geometry. Vocabulary. Point Space Line Collinear Points Plane Coplanar Postulate Axiom. Point. A point is a location.

ila-barrett
Download Presentation

CHAPTER 1: Tools of Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. CHAPTER 1:Tools of Geometry Section 1-3: Points, Lines, and Planes

  2. Objectives • To understand basic terms of geometry. • To understand basic postulates of geometry.

  3. Vocabulary • Point • Space • Line • Collinear Points • Plane • Coplanar • Postulate • Axiom

  4. Point • A point is a location. • A point has no size. • Represented by a small dot and capital letter. • Geometric figures consist of sets of points.

  5. Space • Space is defined as the set of all points.

  6. Line • A line is a series of points that extends in two opposite directions without end. • Ways to name a line: • Use any two points on the line. • A single lowercase italics letter.

  7. Collinear Points • Points that lie on the same line are collinear points.

  8. Identifying Collinear Points • In the diagram, are E, F, and C collinear? • Are E, F, and D collinear?

  9. Plane • A plane is a flat surface that has no thickness. • A plane contains many lines and extends without end in the direction of all of its lines. • Naming a plane: • You may use a single capital letter. • You may use three or more of its non-collinear points.

  10. Postulate (or Axiom) • A postulate (or axiom) is an accepted statement of fact.

  11. Postulate 1-1: • Through any two points, there is exactly one line.

  12. Postulate 1-2: • If 2 lines intersect, they intersect in exactly one point.

  13. Postulate 1-3: • If two planes intersect, they intersect in exactly one line.

  14. Finding the intersection of two planes. • Where do planes ABC and plane DZY intersect? W Z A D X Y B C

  15. Postulate 1-4: • Through any three noncollinear points, there is exactly one plane.

More Related