Basic Geometry Concepts
Learn about the fundamental terms and postulates of geometry, including points, lines, planes, collinear points, and basic axioms. Explore how to identify collinear points, name planes, and understand the relationships between points, lines, and planes through visual examples in this introductory geometry guide.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Objectives: 1) Understand basic terms of geometry. 2) Understand basic postulates of geometry. Objectives:
Point a small dot and is named by a capital letter. A Space Line opposite directions without end. You can name a line by any two points on that line, or a single lowercase letter. .. Point- a location with no size, represented by Space- Set of all points Line A series of points that extends in two t B A
Collinear Points line. Collinear Points Points that lie on the same Example: In the figure below, name two points that are collinear and three points that are not collinear. Example: Identify Collinear Points . X Y . Z . W .
Plane You can name it by either a single capital letter or by at least 3 noncollinear points. Plane A flat surface that has no thickness. Coplaner Coplaner Points and lines in the same plane. P B C A Plane P Plane ABC
U S R T Name this plane in 3 different ways.
Postulate or axiom of fact. Postulate or axiom is an accepted statement Postulate 1 is exactly one line. Postulate 1- -1 1 Through any two points there . t . B A
Postulate 1 they intersect in exactly one point. Postulate 1 2 2 If two lines intersect, then Postulate 1 they intersect in exactly one line. Postulate 1- - 3 3 If two planes intersect, then
Use the diagram to find the intersection of plane HGC and plane AED? H G F E D C B A
Through any three noncollinear points there is exactly one plane. Example: Using Postulate 1-4
