Activity Each group member grab a marker. Red: draw a random point on the whiteboard and name it - Earth Yellow: draw a random point on the whiteboard and name it - Sun Blue: draw a random point on the whiteboard and name it - Moon Green: draw a random point on the whiteboard and name it – Mars Draw 4 random points on the whiteboard and label it A, B, C, D Draw the fastest way to go from Earth to Moon, and Mars to the Sun Look at your drawings and determine if you agree or disagree on this statement: “A straight line is always the fastest way to go from one place to another in a 2D world”
Chapter 1.3 Points, Lines, and Planes 1.0 Demonstrate understanding by identifying and giving examples of undefined terms and axioms
What do you think this is a picture of? Where do you think it’s located?
Vocabulary Space: set of all points Example: Look at the space picture Point: Point is a location. A point has no size Example : .P Line: Line is a series of points that extend in two directions without end. t B A Line t
Vocabulary Collinear points: Points that lie on the same line Naming the line: Naming the line:
Example Are points P and S collinear? Are points U and T collinear? Are points Q, S, T collinear? Are points U, P V collinear?
Vocabulary Plane: flat surface that has no thickness Coplanar: Points and lines in the same plane R B C A Naming the plane: Plane ABC or Plane R Note: you need 3 points
Naming a plane Name a plane B D A C H E G F
Vocabulary In geometry you will have many postulate or axioms. Postulate or axiom: an accepted statement of fact
Postulate 1.1 Through any two points there is exactly one line
Postulate 1.2 If two lines intersect, then they intersect in exactly one point.
Postulate 1.3 If two planes intersect, then they intersect in exactly one line
Postulate 1.4 Through any three noncollinear points there is exactly one plane
Homework P19 #2, 6, 9, 12, 16, 18, 20, 23, 30, 34, 35