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              \\November 22, 2023 4:45 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74







                      Encapsulate
                  math
                                                   SyMMetry ANd PAtterNS


                        Line(s) of Symmetry            Patterns with turning Objects               tessellation
















                       reflection Symmetry                                   Number Patterns

                  Mirror Line of Symmetry         Square numbers                     Triangular numbers

                  Object          Image

                          Mirror

                            Object        Image
                                                  1     4       9            16       1    3        6           10
                                   Mirror

                                                             transformation

                                                                                    1  Turn
                                                                                    4




                           Slide               Horizontal flip
                                                                  Vertical flip   Original posi�on      Quarter turn  1
                                                                                                                   4
                                                          rotational Symmetry
                          Q                   P                   S                    R                   Q



                   R            P       Q            S      P            R      S            Q       R            P


                          S                   R                   Q                    P                   S
                                         Position after       Position after      Position after       Position after
                                           90° turn            180° turn            270° turn            360° turn



                      Project

                 Take an A4 sheet of paper and fold it into two equal halves. Draw any geometric shapes
                 along one part of the fold and cut it out using a pair of scissors. Now, open the fold and
                 observe. What shape will you get? Is the shape symmetrical along the crease formed?


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