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Ch3.1_PointsLinesPlanes.notebook                                            September 27, 2011


                                                    "Undefined" Terms

       Chapter 3.1                              Point
       Points, Lines,  and Planes               Line ­ an infinite set of points extending in
                                                2 opposite directions

                                                Plane ­ infinite set of points in all directions
                                                along a flat surface




                                               Collinear Points ­ 2 or more points on the same line
     Ray ­ A line with one endpoint


                                               Coplanar Points ­ 2 or more points in the same plane
     Line Segment ­ small section of a line 
     with 2 endpoints




                                                                Postulate 1
              Postulates
                                                   Any 2 points make a unique line
         Accepted as truth without proof
Ch3.1_PointsLinesPlanes.notebook                                                            September 27, 2011



                    Postulate 2                                               Postulate 3

         3 non­collinear                             If 2 points lie in a plane, 
         points make a unique plane                  the line between them does too




                    Postulate 4                                    Postulate 5
                                                              "The Ruler Postulate"
         2 planes intersect at a line
                                                   You can label a line with numbers
                                                   to determine coordinates and distance

                                              ­5     ­4       ­3     ­2        ­1   0       1    2   3       4       5

                                                          A               C             B                        D




                  Postulate 6                                             Example
                Segment Addition
     Add 2 segments together to get a                              If AC = 24, solve for x
     bigger segment
                                                               x + 10                   2x ­ 4
            2                     4
                                                          A                    B                         C
     A          B         C               D



                    C
          A         B                 D
Ch3.1_PointsLinesPlanes.notebook                                 September 27, 2011



                Example
    On a number line, the coordinate of point S is ­5. 
    The length of ST is 12.
    Give 2 possible coordinates of point T                Page 107
                                                          5 ­ 18 all

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Ch 3.1 Geometry Points Lines Planes

  • 1. Ch3.1_PointsLinesPlanes.notebook September 27, 2011 "Undefined" Terms Chapter 3.1 Point Points, Lines,  and Planes Line ­ an infinite set of points extending in 2 opposite directions Plane ­ infinite set of points in all directions along a flat surface Collinear Points ­ 2 or more points on the same line Ray ­ A line with one endpoint Coplanar Points ­ 2 or more points in the same plane Line Segment ­ small section of a line  with 2 endpoints Postulate 1 Postulates Any 2 points make a unique line Accepted as truth without proof
  • 2. Ch3.1_PointsLinesPlanes.notebook September 27, 2011 Postulate 2 Postulate 3 3 non­collinear  If 2 points lie in a plane,  points make a unique plane the line between them does too Postulate 4 Postulate 5 "The Ruler Postulate" 2 planes intersect at a line You can label a line with numbers to determine coordinates and distance ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 A C B D Postulate 6 Example Segment Addition Add 2 segments together to get a  If AC = 24, solve for x bigger segment x + 10 2x ­ 4 2 4 A B C A B C D C A B D
  • 3. Ch3.1_PointsLinesPlanes.notebook September 27, 2011 Example On a number line, the coordinate of point S is ­5.  The length of ST is 12. Give 2 possible coordinates of point T Page 107 5 ­ 18 all