Undefined Terms of Geometry

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Presentation transcript:

Undefined Terms of Geometry Unit 5 Introduction Undefined Terms of Geometry January 5, 2016

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**

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

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!

Undefined Terms A point represents location. Properties of Points: No size No shape Notation: Capital letter M Diagram: P A Q L

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

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:

Relationships In Space

Lost In Space… ? The set of ALL points is called space. Properties: Three dimensional Consists of points, lines, and planes ?

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

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 …

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

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

More Information Congruent – exact same measurement Non- not Bisect – divide in half Midpoint – the point in the middle of a line segment

Cool Down Fill in the chart to show understanding of the materials Pick up HW WS after you complete your graphic organizer/chart