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9.1 Lines                                      March 26, 2012




      Warm Up
      Graph the following inequalities
      1. a ≥ 3

      2.  a ≤ 0




                         Objective: intro to geometry




HW pg. 461 #2­24 even                                           1
9.1 Lines                                                 March 26, 2012



     Point        A      Point A       a location in space.
                                       It has no size.
     Line                AB            a series of points that
              A          BA or n      extends in opposite 
                 B
                     n                 directions without end.
     Plane A         B   ABCD        a flat surface with no 
                M        or M        thickness.  It contains
            D      C                   many lines and extends
                                       without end.
     Line segment        PQ         a part of a line. Has two
     or segment        Q QP            endpoints.
                   P
     Ray                    CR           part of a line. 
             C          R                has exactly one endpoint.  
                                         name endpoint first.
                                   




HW pg. 461 #2­24 even                                                      2
9.1 Lines                                                             March 26, 2012




                                   H


                                           n
       W                T              K
      1.  Name four points                 2.  Name four different segments




      3.  Write five other names for WT.   4.  Name five different rays.




HW pg. 461 #2­24 even                                                                  3
9.1 Lines                                  March 26, 2012




      Parallel Lines  ||
                                   Q
                           M
                               N       R
                           T
                                   V
                               P       S

      Skew Lines




HW pg. 461 #2­24 even                                       4
9.1 Lines                                                                       March 26, 2012




     5.  Draw two parallel lines.  then draw a segment that intersects the parallel lines.




      6.  Draw a ray that intersects three parallel lines.




HW pg. 461 #2­24 even                                                                            5
9.1 Lines                                                                  March 26, 2012




      Open your books to page 460 Example 2.  Study the picture and a, b, and c.

      Now let's do Problem 2.
      7.  Name four segments that intersect EF




      8.  Name three segments parallel to EF




      9.  Name four segments skew to EF




HW pg. 461 #2­24 even                                                                       6
9.1 Lines                              March 26, 2012




            HW pg. 461 # 2 ­ 24 even




HW pg. 461 #2­24 even                                   7
9.1 Lines                   March 26, 2012




      Parallel           




      Skew


      Acute angle

      Right angle

      Obtuse angle

      Straight angle




HW pg. 461 #2­24 even                        8

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Introduction to Geometry Concepts of Lines, Segments, Rays and Angles

  • 1. 9.1 Lines March 26, 2012 Warm Up Graph the following inequalities 1. a ≥ 3 2.  a ≤ 0 Objective: intro to geometry HW pg. 461 #2­24 even 1
  • 2. 9.1 Lines March 26, 2012 Point A Point A       a location in space.        It has no size. Line AB        a series of points that A BA or n      extends in opposite  B n        directions without end. Plane A B ABCD        a flat surface with no  M or M        thickness.  It contains D C        many lines and extends        without end. Line segment PQ         a part of a line. Has two or segment Q QP        endpoints. P Ray CR        part of a line.  C R        has exactly one endpoint.          name endpoint first.   HW pg. 461 #2­24 even 2
  • 3. 9.1 Lines March 26, 2012 H n W T K 1.  Name four points 2.  Name four different segments 3.  Write five other names for WT. 4.  Name five different rays. HW pg. 461 #2­24 even 3
  • 4. 9.1 Lines March 26, 2012 Parallel Lines  || Q M N R T V P S Skew Lines HW pg. 461 #2­24 even 4
  • 5. 9.1 Lines March 26, 2012 5.  Draw two parallel lines.  then draw a segment that intersects the parallel lines. 6.  Draw a ray that intersects three parallel lines. HW pg. 461 #2­24 even 5
  • 6. 9.1 Lines March 26, 2012 Open your books to page 460 Example 2.  Study the picture and a, b, and c. Now let's do Problem 2. 7.  Name four segments that intersect EF 8.  Name three segments parallel to EF 9.  Name four segments skew to EF HW pg. 461 #2­24 even 6
  • 7. 9.1 Lines March 26, 2012 HW pg. 461 # 2 ­ 24 even HW pg. 461 #2­24 even 7
  • 8. 9.1 Lines March 26, 2012 Parallel   Skew Acute angle Right angle Obtuse angle Straight angle HW pg. 461 #2­24 even 8