PPT-1.5 Postulates and Theorems Relating Points, Lines, and Pl

Conduct Experiments 13 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. AS if for every trajectory we have as implies is the unique equilibrium point system is locally asymptotically stable LAS near or at if there is an R st 0 k as Basic Lyapunov theory 122 brPage 3br often we change coordinates so that 0 ie we use a brPage 1br 91 points 91 points 91 points 91 points 91 points 91 points Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. The measure (or length) of is a positive number, AB. Postula Represented Theorems. Sara . Billey. University . of . Washington. Reproducibility in Computational and Experimental Math. ICERM. December 13, 2012. The Standard Inquiry. “Do you know anything about the following math problem?”. The Fundamental Rules of Our Game. Any measurement we can make with an experiment corresponds to a mathematical “. operator. ”. Operator. : A mathematical machine that “. acts on. ” a function and produces a new function:. Theorems. : Important statements that are proved. Postulates. : basic assumptions in Geometry that are accepted w/o proof. Postulate 5. : A line contains at least two points; a plane contains at least three points not all in one line; space contains four points not all in one plane. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. 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. review. Postulates: Rules that are accepted without proof.. Theorems: Rules that have already been proven.. Postulates. .. examples. State the postulate illustrated by the diagram.. . examples. Draw examples of the following postulates.. Algebra. Huntington’s Postulates. Truth Tables. Graphic Symbols. Boolean Algebra Theorems. 1. Boolean . Algebra. 2. Boolean . Algebra. A fire sprinkler system should spray water if high heat is sensed and the system is set to . 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.. Identify and use basic postulates about points, lines, and planes.. A . postulate. or an . axiom. is a statement that is accepted as true without proof. . Lesson 02 - Point, Line, & Plane Postulates. -Polygon. : a closed plane figure with at least 3 sides that are segments that only intersect at their endpoints where no adjacent sides are collinear. -Regular Polygon. : . a polygon that is both equilateral and . 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. .