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Ch3.4_ParallelLines.notebook                                               September 30, 2011




                      Chapter 3.4
                      Parallel Lines




                       Transversal ­ a line that crosses 2 or more lines

                                Postulate 9
                          Parallel Lines Postulate

                     If two parallel lines are cut
                     by a transversal, then the
                     corresponding angles are congruent
                     (a.k.a. The "Big­Small" Rule)




                                                                                                1
Ch3.4_ParallelLines.notebook                    September 30, 2011


                 Which angles are equal to Angle A?



                                  B
                               A
                                   D
                                C

                                  F
                                E
                                GH



                 Which angles are equal to Angle F?


                                  A B
                                 C D
                                E F
                               G H




                                                                     2
Ch3.4_ParallelLines.notebook                      September 30, 2011


                    Interior vs. Exterior
                                  Exte
                                      r    ior
                          Inter
                                      ior
                      Exte
                               rior


                                       Alternate Exterior
                            1 2         (equal angles)
                           3 4

                   5 6                  Alternate Interior
                  7 8                    (equal angles)


                                      Same­side Interior
                                      (complementary)



                                                                       3
Ch3.4_ParallelLines.notebook                             September 30, 2011


                   Find the missing angle measures

                                    1200 2
                                     3 4

                                5 6
                               7 8




                Find the missing angle measures
                   E
                                                 H
                  450     I                  J
           A                                         B



                 C                   K               D
                                G        F




                                                                              4

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Ch3.4 Parallel Lines

  • 1. Ch3.4_ParallelLines.notebook September 30, 2011 Chapter 3.4 Parallel Lines Transversal ­ a line that crosses 2 or more lines Postulate 9 Parallel Lines Postulate If two parallel lines are cut by a transversal, then the corresponding angles are congruent (a.k.a. The "Big­Small" Rule) 1
  • 2. Ch3.4_ParallelLines.notebook September 30, 2011 Which angles are equal to Angle A? B A D C F E GH Which angles are equal to Angle F? A B C D E F G H 2
  • 3. Ch3.4_ParallelLines.notebook September 30, 2011 Interior vs. Exterior Exte r ior Inter ior Exte rior Alternate Exterior 1 2 (equal angles) 3 4 5 6 Alternate Interior 7 8 (equal angles) Same­side Interior (complementary) 3
  • 4. Ch3.4_ParallelLines.notebook September 30, 2011 Find the missing angle measures 1200 2 3 4 5 6 7 8 Find the missing angle measures E H 450 I J A B C K D G F 4