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Geometry

GPS Geometry August 14, 2012. Geometry. The Basics!!!. Get to the point!. 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

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Geometry

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  1. GPS Geometry August 14, 2012 Geometry The Basics!!!

  2. Get to the point! 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

  3. Whose line is it anyway? 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? linel , or l ● ●

  4. It’s “plane” to see 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

  5. segmentS • A part of a line • Has 2 endpoints C D • Labeled as or

  6. CATCH A RAY! • Has one endpoint • Extends infinitely out in one direction. E F • How do you name a ray? and NOT

  7. What’s your angle? Angle Formed by two rays with a common endpoint How do you name an angle? , , or 1

  8. COLLINEAR Points • 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?

  9. Coplanar Points • 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?

  10. Congruent Figures • 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.

  11. measurement • 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°.

  12. Congruence versus measurement • 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

  13. Congruence versus measurement Explain whether or not each statement does or does not make sense. If it does not make sense correct it. XY = 5000 yds mST = 6 cm XY + XZ = 32 cm

  14. postulate 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!

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