Wednesday 9/3 Warm up FSolve for x. 1. x – 5 = 7 2. 5 = 2 - x/3 3. 2(x+5) = 3(x-2) 4. 5x = 3x + 26 5. 180 – x = 3(90-x) FSolve for x. 1. x – 5 = 7 2. 5.

Wednesday 9/3 Warm up

Wednesday 9/3 Warm up

Solve for x.1. x – 5 = 72. 5 = 2 - x/33. 2(x+5) = 3(x-2)4. 5x = 3x + 265. 180 – x = 3(90-x)

Solve for x.1. x – 5 = 72. 5 = 2 - x/33. 2(x+5) = 3(x-2)4. 5x = 3x + 265. 180 – x = 3(90-x)

LaptopsLaptops

Laptop agreement

Student drive – I driveLogin and password are the

same ex Smith.J541

Laptop agreement

Student drive – I driveLogin and password are the

same ex Smith.J541

Favorite Links Favorite Links

Class Wikispacehttps://baumherclasses.wikispaces.com/Geometry

Class Bloghttp://[email protected]

Class Wikispacehttps://baumherclasses.wikispaces.com/Geometry

Class Bloghttp://[email protected]

Chapter 1: Section 2 Chapter 1: Section 2

Undefined Terms of Geometry

Undefined Terms of Geometry

Chapter 1: Section 2 Notes

Chapter 1: Section 2 Notes

NOTE TAKING IN YOUR BINDER

Notes - Undefined Terms of Geometry Wednesday 9/3/08

To take good notes – make sure youUnderline terms, draw diagrams, identify notations

NOTE TAKING IN YOUR BINDER

Notes - Undefined Terms of Geometry Wednesday 9/3/08

To take good notes – make sure youUnderline terms, draw diagrams, identify notations

Section 1.2 9/3/08

Warm Up Activity

Notes Title

Examples and/or classwork

Notes – should be ledgible and useful

GeometryGeometry

What is geometry?Latin in origin“Geo” means shape“Metry” means measure

Geometry is the study of the measurement of shapes and relationships in space

What is geometry?Latin in origin“Geo” means shape“Metry” means measure

Geometry is the study of the measurement of shapes and relationships in space

PlanePlane

PointLine

Undefined Terms of Geometry

Undefined Terms of Geometry

M

PS

Every topic of geometry is related to points, lines, and planes!

Building Blocks

of Geometry!

Undefined TermsUndefined TermsA point represents

location.Properties of Points:

No size No shapeNotation: Capital letter

A point represents location.

Properties of Points: No size No shapeNotation: Capital letter

Diagram:A

M

Q

P

L

Undefined TermsUndefined TermsA line is a set of infinite points

extending in opposite directions.Properties:

No Thickness or length InfiniteNotation: Two points: MN

Lower case letter: line l

A line is a set of infinite points extending in opposite directions.

Properties: No Thickness or length InfiniteNotation: Two points: MN

Lower case letter: line l

Diagrams:

M

NLine l

Undefined TermsUndefined TermsA plane is a set of infinite

lines that create a flat surface.

Properties: No thickness, length, widthTable topNotation: Capital Letter: plane Z

3 points: plane AIR

A plane is a set of infinite lines that create a flat surface.

Properties: No thickness, length, widthTable topNotation: Capital Letter: plane Z

3 points: plane AIRDiagrams:

IR

AZ

Relationships In SpaceRelationships In Space

Lost In Space…Lost In Space…

The set of ALL points is called space.

Properties: Three dimensionalConsists of points, lines, and

planes

The set of ALL points is called space.

Properties: Three dimensionalConsists of points, lines, and

planes

?

Points, Lines, and Planes in Space

Points, Lines, and Planes in Space

Points in Space: Points on the same line are called

Points in the same plane are called

AB

M T

H

A

collinear

coplanar

Intersection of Objects Intersection of Objects

What does the word intersect mean?Intersection:

What does the word intersect mean?Intersection:

the set of all points that lie in both figures

Symbol: Example : Find the Intersection of …

Ways to Say Intersection in Geometry

Ways to Say Intersection in Geometry

Intersection:OnContains (plane XYZ contains point Z)Passes throughIntersect atIntersection of

Intersection:OnContains (plane XYZ contains point Z)Passes throughIntersect atIntersection of

Points, Lines, and PlanesPoints, Lines, and Planes Intersection: the set of points that lie in

both figures (common points) symbol:

Intersection: the set of points that lie in both figures (common points) symbol:

Two lines intersect at a

A plane and a line intersect at a

Two planes intersect at a line

point

point

Parallel Lines and Planes Parallel Lines and Planes

Lines and planes are parallel if they are coplanar and do not intersect.

Symbol: // or ||

Lines and planes are parallel if they are coplanar and do not intersect.

Symbol: // or ||

D

C

G

B

F

A

E

H

K

See if you can name 4 pairs of parallel lines and planes.

Perpendicular Lines and Planes

Perpendicular Lines and Planes

Lines and planes are perpendicular if they are coplanar and intersect at a 90 degree angle.

Lines and planes are perpendicular if they are coplanar and intersect at a 90 degree angle.

D

C

G

B

F

A

E

H

K

Other Spatial Relationships Other Spatial Relationships

Skew: lines or planes that are non-coplanar and never intersect

Three Lines and Intersection:

Skew: lines or planes that are non-coplanar and never intersect

Three Lines and Intersection:

Concurrent

Cool DownCool Down

Create your flashcards for today’s important vocabulary.

Be sure to include any diagrams and drawings possible.

Pick up HW WS after you complete your notecards.

Create your flashcards for today’s important vocabulary.

Be sure to include any diagrams and drawings possible.

Pick up HW WS after you complete your notecards.