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.

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

Bellwork Solution Draw a line using only dots

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

Identify Points, Lines and Planes Section 1.1

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

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 111-22-3333

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

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

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

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

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

Using the undefined terms Example 1

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

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

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

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

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

Homework 1.1 1, 2, 3-13, 14-32 even, 40-42, 44

Homework G F D A B C

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