1. Bellwork
Juan has more than 5 but fewer than 11 fish in his aquarium. Write an inequality to express the number of fish in his aquarium
Draw a line using only dots
Kansas City rests at 231m above sea level. Find this elevation in feet.

2. Bellwork Solution
Juan has more than 5 but fewer than 11 fish in his aquarium. Write an inequality to express the number of fish in his aquarium

3. Bellwork Solution
Draw a line using only dots

4. Bellwork Solution
Kansas City rests at 231m above sea level. Find this elevation in feet.

5. Identify Points, Lines and Planes
Section 1.1

6. The Concept
Before we begin discussing advanced geometric principles, we must start with the basics
Basics provide the foundation for understanding
We then define the four undefined terms

7. Question What is your name? How did we figure this out?
Before the Social Security System, names where associated with the father, but also with regions, vocations or former masters and owners
Roster
Enrollment
Form

8. Definitions Definition Connotation Denotation
Way of describing a thing or concept
Based upon an agreed upon consensus of terminology
Connotation
Denotation
Way of describing a thing or concept
Based upon an agreed upon consensus of terminology
Definition
1-1
Axis of symmetry
Vertex

9. Geometric Definitions
The basis of geometry rests in four basic terms
Called the undefined terms, because they lack previous basis

10. Undefined Terms Point Line Space Collection of all points
All objects exist in space
Point
Line
Connections of dots in a direction
Unbounded i.e. continues on forever
Two points define a line
The two points name the line B A

11. Undefined Terms Plane Two dimensional object Unbounded Flat “sheet”
Three non-collinear points define a plane
These three points also name the plane
Can also be named by a single letter B A m C

12. Definitions Colinear 1-1 Coplanar 1-1 Axis of symmetry Vertex
Points that are on the same line
Colinear
1-1
Points that are on the same plane
Coplanar
1-1
Axis of symmetry
Vertex

13. Using the undefined terms
Example 1

14. Defined Terms Ray The undefined terms give us other basic definitions
Segment
Portion of a line that exists between two endpoints
Named by those two points
Written with a line over the top
Ray
Portion of a line that starts at an endpoint and extends on indefinitely
Unbounded on one side
Named by two points
Written as B A B A

15. Important Distinction
Direction is important to Rays but not to Segments
Why? B A B A

16. Definitions Opposite Rays Rays that go in opposite directions
What is the opposite ray of CB B C A

17. Definitions What is the common thing between these two circles?
Geometry is no different
What is the shared point of these two lines? C B A

18. Definitions Intersections
Points that are shared amongst two geometric figures
Line AB is the set of shared points of these two planes A B

19. Homework
1.1
1, 2, 3-13, even, 40-42, 44

20. Homework G F D A B C

21. Most Important Points Undefined Terms Defined Terms
Space
Point
Line
Plane
Defined Terms
Segment
Ray
Definition of colinear and coplanar
Concept of intersectionality
Naming Scheme for subsequent figures