The Basics!!! GPS Geometry August 14, 2012. Point  The basic unit of geometry  Has no dimension.  Used to represent a precise location on a plane 

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Presentation transcript:

The Basics!!! GPS Geometry August 14, 2012

Point  The basic unit of geometry  Has no dimension.  Used to represent a precise location on a plane  Infinitely small and is usually represented by a small dot.  Usually named using upper-case single letters  How do you name the point below? Point A ● A

LINE  Perfectly straight  Contains an infinite number of points  Extends infinitely in two directions  One dimensional with no thickness A B  How do you name a line? line l, or ●● l

Plane  A two dimensional flat surface  Extends infinitely in all directions  How do you name a plane? Plane ABC (use 3 points) or Plane P

 A part of a line  Has 2 endpoints C D  Labeled as or

 Has one endpoint  Extends infinitely out in one direction. E F  How do you name a ray? and NOT

Angle Formed by two rays with a common endpoint How do you name an angle?,, or 1

 3 or more points lying on the same line  Points A, B, and C are collinear.  Are there any other points that are collinear?  Are there points that are noncollinear?

 3 or more points lying on the same plane  Points A, C, and F are coplanar.  Are there any other points that are coplanar?  Are there points that are noncoplanar?

 Figures having the same shape and size.  If two polygons are congruent, then all corresponding sides and angles measures will be equal.  Refers to the figures and not the measurement of those figures.

 Measure of a segment is written as: or. Example: Both and are 5 inches long.  Measurement of angle is written as Example: Both and measure 45°.

 If 2 figures are congruent, then their measures are equal AND if 2 figures have equal measures, then they are congruent.  Example: Both and are 5 inches long. Since they have equal measure, then they are congruent. So, and  Example: Both and measure 45°. So, and

Explain whether or not each statement does or does not make sense. If it does not make sense correct it. 1.XY = 5000 yds 2.mST = 6 cm 3.XY + XZ = 32 cm

A postulate (axiom) is a statement that is is accepted without proof. It is the starting point of reasoning. There are many postulates in mathematics especially geometry!