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Undefined Terms of Geometry
Unit 5 Introduction Undefined Terms of Geometry January 5, 2016
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NOTE TAKING IN YOUR BINDER
Unit 5: Notes NOTE TAKING IN YOUR BINDER Notes - Terms of Geometry To take good notes – make sure you underline terms, draw diagrams, identify notations **use color, it will help**
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Geometry 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
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Undefined Terms of Geometry
Point M Building Blocks of Geometry! P S Line Plane Every topic of geometry is related to points, lines, and planes!
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Undefined Terms A point represents location. Properties of Points:
No size No shape Notation: Capital letter M Diagram: P A Q L
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Undefined Terms A line is a set of infinite points extending in opposite directions. Properties: No Thickness or length Infinite Notation: Two points: MN Lower case letter: line l Diagrams: M N Line l
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Undefined Terms A plane is a set of infinite lines that create a flat surface. Properties: No thickness, length, width Table top Notation: Capital Letter: plane Z 3 points: plane AIR I R A Z Diagrams:
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Relationships In Space
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Lost In Space… ? The set of ALL points is called space. Properties:
Three dimensional Consists of points, lines, and planes ?
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Points, Lines, and Planes in Space
Points in Space: Points on the same line are called collinear A B Points in the same plane are called coplanar M T H A
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Intersection of Objects
What does the word intersect mean? Intersection: the set of all points that lie in both figures Symbol: Example : Find the Intersection of …
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Points, Lines, and Planes
Intersection: the set of points that lie in both figures (common points) symbol: Two lines intersect at a point A plane and a line intersect at a point Two planes intersect at a line
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Other Spatial Relationships
Endpoint – point on one or both ends of a line label with a letter Line Segment – a piece of a line with an endpoint on each end -- AB Ray – starts at an endpoint and continues infinitly in the other direction -- AB Opposite Rays - Two rays that have a common endpoint and form a line. A B A B A P
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More Information Congruent – exact same measurement Non- not
Bisect – divide in half Midpoint – the point in the middle of a line segment
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Cool Down Fill in the chart to show understanding of the materials
Pick up HW WS after you complete your graphic organizer/chart
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