PPT-1.1 Points, Lines and Planes

Objective gt Understand and use the basic undefined terms and defined terms of geometry A definition uses known words to describe a new word In geometry some words such as point line and plane are . Vector equation for the 64257rst line t Vector equation for the second line s cos 13 24 51 2 5 4 1 30 26 Remark These two lines are skew brPage 3br Example 2 a Find parametric equations for the line through 5 0 that is perpendicular to th 2-5 Postulates. Real World. Vocabulary. Postulate/Axiom-. is a statement that is accepted as true without proof. Proof-. a logical argument in which each statement that you make is supported by a postulate or axiom. By Aaron Walker Wagner. Geometry. . Finite Geometry . . Projective Planes. . Finite Projective Planes. Definitions. Projective Plane . It is a geometric structure. It contains a set of lines (not necessarily straight), a set of points, and a relation between the lines and points called incidence . Conduct Experiments 1-3. Write down the goal for each experiment in your notes . Answer every question; that is something that has a question mark.. Experiment 1. Goal. To find out how many points determine a line.. Real-Life. Vocabulary. Undefined Terms. - point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. Point-. a location – it does not have shape or size (named by capital letter). A point is an exact location in space.. You are here.. A true point has no length, no width, and no height.. In fact, you cannot see a true point.. A point is named by a letter.. P. Point P. Lines are 1-dimensional objects that have only length. Lines continue forever in both directions.. Have you ever noticed that a four legged chair sometimes wobbles, but a three- legged stool never wobbles? . . Points, Lines and Planes. Section 1.1. Points. An undefined term in geometry. (explained using examples and descriptions.). EXAMPLE 1. Identify relationships in space. d.. Plane. (. s. ). parallel to plane . EFG. . and containing point . A. c.. Line. (. s. ). perpendicular to . CD. . and containing point . A. a.. Line. . Undefined Terms. Point: exact location; has no size; . . represented by a dot.. Line: set of points extending in both directions containing . . the shortest path between 2 points. ; one dimensional. Basic Geometry Terms. Undefined Terms. Definition of words. Consist of other words. How do you define the first word?. Philosophy Class?. Every end has a start. Every effect has a cause. Geometry undefined terms. Undefined Terms. Point. Line. Plane. POINTS. A . point. represents a location in space. It has no dimension.. To name a point, you simply write a capital letter.. LINES. A . line. extends forever and only has length, so it has one dimension.. Common Core State Standards. G.MG.3 Apply geometric methods to solve problems. .  .  . Student Learning Targets . 1. Students will be able to identify and use basic postulates about points, lines and planes. . Lesson Menu. Five-Minute. Check. CCSS. Then/Now. New Vocabulary. Key Concept: Undefined Terms. Example 1: Name Lines and Planes. Example 2: Real-World Example: Model Points, Lines, and Planes. Example 3: Draw Geometric Figures. Section 3.1 Big Ideas Geometry. Parallel Lines: Two lines that do not intersect and are coplanar. The symbol for parallel is || and is read “is parallel to”. So m||n reads “line m is parallel to line n”.