Geometry  Definition: a statement that defines a mathematical object.  Undefined term: mathematical term that is not defined using other mathematical.

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Presentation transcript:

Geometry

 Definition: a statement that defines a mathematical object.  Undefined term: mathematical term that is not defined using other mathematical terms.  Points, lines, and planes are undefined terms that are the building blocks for defining other terms

 Point: names a location and has no size  Represented by a dot  Named with a capital letter  Line: a straight path that has no thickness and extends forever.  There are infinitely many points on a line  Named with a lowercase letter or using any two points on the line C A B D x

 Collinear points: any set of points that lie on the same line  Noncollinear points: points that do not lie on the same line C A B D x

 Plane: a flat surface that has no thickness and extends forever  Named with a capital letter or three noncollinear points that lie in the plane  Coplanar: lines or points that are in the same plane  Noncoplanar: no plane contains all the lines or points  Intersection: the point or set of points in which two figures meet  Two lines intersect at a point  Two planes intersect in a line

Name the line below in two different ways. Name all the points. Z X W Y m

N M P K J

Can two points be noncollinear?

How many points can a line contain? How many points can a plane contain?

John used two points to name a plane. What mistake did John make in naming the plane?

 1 st and 2 nd hour: Lesson 1 #1-30  3 rd hour: Lesson 1 #1-30 even