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.

AB

AB

t

Line t

Vocabulary

• Collinear points: Points that lie on the same line

AC ACNaming 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

A

B

CNaming the plane: Plane ABC or Plane R

R

Note: you need 3 points

Naming a plane

• Name a plane

A

B

C

D

E

F

G

H

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