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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.
