Page 78 - Math Course 2 (Book 2)
P. 78

Transformations: Reflected Images





          MO. 9 - L2b                                       point of symmetry
                                                            For some figures, a point can be found that is a
                 Recognizing Lines of                       common point of reflection for all points on a
                                                            figure. This common point of reflection is called a
                        Symmetry                            point of symmetry.



                     Vocabulary A-Z                                 F       no points of
                                                                             symmetry
                     Let us learn some vocabulary


         isometry                                                   P                        P

         A transformation that is invariant with respect to
         distance. That is, the distance between any two
         points in the pre-image must be the same as the                     points of
         distance between the images of the two points.                    symmetry at P
                        Y

                                                                         Let’s Begin
                          X                     U’

              Z                 P

                                                 Z’        Use Reflections
              U                        X’
                                                              Example

                                         Y’

         Line of symmetry                                   TABLE TENNIS
         Some figures can be folded so that the two halves   During a game of table tennis, Dipa decides that
         match exactly. The fold is a line of reflection called   she wants to hit the ball so that it strikes her side
         a line of symmetry.                                of the table and then just clears the net. Describe
                                                            how she should hit the ball using reflections.
                  None                    One
                                                                   desired position
                   F                                                   of ball →

                                                                           net →
                  Two                More than Two





                                                                           She should mentally reflect the
                                                                            desired position of the ball in
                                                               Answer        the line of the table and aim
                                                                             toward the reflected image
                                                                                  under the table.












    70
   73   74   75   76   77   78   79   80   81   82   83