1 / 13

Basics of Geometry: Points, Lines, & Planes

This lesson covers the fundamental terms and postulates of geometry, including points, lines, and planes, as well as segment and ray definitions. Learn how to name lines, planes, and geometric concepts. Practice identifying and naming elements in different geometric scenarios.

kamaria-gyasi
Télécharger la présentation

Basics of Geometry: Points, Lines, & Planes

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. Sec. 1 – 2 Points, Lines, & Planes Objectives: 1) Understand the basic terms of geometry. 2) Understand the basic postulates of geometry.

  2. 3 Undefined Terms of Geometry • Point • Is a location. • Represented by a small dot & by a capital letter. • Reads: Point A A

  3. 3 Undefined Terms Continues Line Is a series of points that extend in two opposite directions w/o end. Defined by any two points on that line. Name a line by 2 capital letters or 1 lower case letter. Points that lie on the same line are called Collinear Points. Notation is important: AB or line t AC BC CA BA t C A B

  4. The last of the Undefined Terms • Plane • A flat surface that extends indefinitely • Contains lines and points • Named by 3 Noncollinear points or by a capital script letter. • Points & lines in the same plane are coplanar. • Notation: PQR or Plane R Q P R R

  5. Space – Is defined as the set of all points

  6. Defined Terms • A segment is part of a line that consists of two endpoints and all points between them. • Segments are named by their endpoints. • A ray is part of a line that consists of one endpoint and continues in the other direction. • Rays are named by their endpoint and another point on the ray (the order of the points indicates the direction of the ray!).

  7. Defined Terms, con’t • Opposite rays are two rays that share the same endpoint and form a line. • How would you name the opposite rays above?

  8. Ex.1: Name some planes and lines. A B D C H E G F

  9. A postulate, or axiom, is a statement that is accepted as true without proof. Postulates about points, lines, and planes help describe geometric properties.

  10. Postulate – Is an accepted statement of fact. • Aka: Axiom • P(1 – 1) Through any two points there is exactly one line.

  11. P(1 – 2) If two lines intersect, then they intersect in exactly one point. k A r

  12. P(1 – 3) If two planes intersect, then they intersect in exactly one line.

  13. P(1 – 4) Through any three noncollinear points there is exactly one plane. A B Which plane contains the points: A, B, C Which plane contains the points: F, B, E Which plane contains the points: H, A, B D C H E G F

More Related