University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

335

Pages:

14
Author:

garrotar4i3

Points, Lines, and Planes LESSON 1-3 Undefined Terms In math we have three undefined terms that are so basic we use those to define all the other shapes. What are those terms? Vocabulary Point: It has location and nothing else. No size. No height. No depth. No friends. A Line: A straight, unbroken set of points that goes on forever. It has infinite length but no thickness. m B AB BA Line m A Plane: A surface with length and width but no thickness. Points, Lines, and Planes LESSON 1-3 Notation Planes are usually drawn as a parallelogram. Planes are denoted in one of two ways. plane ABC or plane BCA Note with four or more points you still choose any three or more in any order. A C B M plane M. So uppercase cursive M. Notice M does not refer to a point on the plane. Example: Point, line, plane. Talk to a neighbor, a friend, a loved one, or yourself. Give us two examples of points, lines, and planes. Vocabulary Line Segment: A line that has two endpoints. A Ray: B AB BA A line with ONE endpoint. A Y B AB Collinear: Points in the same line AY F Coplanar: Points on the same plane Z P Example: Which tennis balls are collinear? Which sets of three are coplanar? Example: Which points are collinear? Which sets of three are coplanar? .. . .. . D E B F A C Points, Lines, and Planes LESSON 1-3 You Try #1 Since F, P, and C do not lie on the same line, they are not collinear. Points, Lines, and Planes LESSON 1-3 You Try #2 Since F, C, and E are points on line m, any combination of two in any order would be a correct way to name the line. So D is the correct answer. Points, Lines, and Planes LESSON 1-3 You Try #3 Since E, F, G and H are all points on the top of the plane any three or more of these points in any order would be correct. So C, FGH is the correct answer. Points, Lines, and Planes LESSON 1-3 Vocabulary Postulate (or axiom) An accepted statement of fact. A statement accepted without proof. Points, Lines, and Planes LESSON 1-3 Postulates How many different lines can you draw A between these two points? B Points, Lines, and Planes LESSON 1-3 Postulates Any time you have three noncollinear points there is only one plane that you can draw around the points. A B C Points, Lines, and Planes LESSON 1-3 Example: Use the diagram below. What is the intersection of plane HGC and plane AED? The back and left faces of the cube intersect at HD. Planes HGC and AED intersect vertically at HD.