Page 38 - Math Course 2 (Book 2)
P. 38

Lines and Angles
           Mo. 8


           Lesson 1                                        interior angles
                                                           Interior angles lie inside the parallel lines.
                                                           ∠C, ∠F, ∠D, ∠E

          KEY CONCEPTS:
          1. Identify the relationships of angles formed
              by two parallel lines and a transversal.
          2. Identify the relationships of vertical,           Line 1               A       B
              adjacent, complementary, and                                         C       D
              supplementary angles.
                                                               interior angles              interior angles

                                                               Line 2     E       F
          MO. 8 - L1a                                                   G       H

             Angles Formed by Parallel                                 Line 3 : The Transversal
               Lines and a Transversal


                     Vocabulary A-Z                        exterior angles

                     Let us learn some vocabulary          Exterior angles lie outside the parallel lines.
                                                           ∠A , ∠H, ∠B , ∠G




         parallel lines                                                Exterior angles
         In geometry, two lines on the same plane
         (coplanar) that never intersect are parallel lines.   Line 1              A       B
                                                                                   C       D
                  m
                  n
                                                               Line 2     E       F
         Line m and n are              Parallel lines have               G       H
          parallel. Using                 no point of                             Exterior angles
          symbols, m || n.               intersections.
                                                                        Line 3 : The Transversal
         transversal

         When two parallel lines are intersected by a third   alternate interior angles
         line, this intersecting third line is called a    Alternate interior angles are on opposite sides of
         transversal, Eight angles are formed.             the transversal and inside the parallel lines.

                                                              ∠C and ∠F
                        transversal                            ∠D and ∠E


               1      2                                       Line 1                A       B
                  4     3                                                          C       D
                                                              interior angles               interior angles
                    5     6
                      8     7                                 Line 2      E       F
                                                                        G       H
                                  Arrowheads are often
                                    used in figures to
                                  indicate parallel lines.             Line 3 : The Transversal

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