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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_08
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              Reader’s Sign _______________________ Date __________

                  Now, let us place a mirror along the line of symmetry on each piece.

                                        Mirror                                                        Mirror

                                        Mirror                                                        Mirror line
                                         line

                  We observe that the shape viewed in the mirror (image) is the same as the shape on the
                  left side (object) and the two together form the complete shape we have taken before.
                  Thus, the object and image are symmetrical about the mirror line.

                  example: Which of the following figures are symmetrical. Also, draw the line of symmetry.

                       (a)                      (b)                      (c)                     (d)

                       (e)                      (f)                      (g)                     (h)

                  Solution:   Figures (d), (e), (g) and (h) are symmetrical about the dotted line (line of
                                 symmetry) because they are exactly the same on both sides of the dotted line.

                                 Figures (a), (b), (c) and (f) are asymmetrical figures because we cannot draw
                                 any line that divides the figures into two halves matching exactly.

                           Quick Check                                                Get it right!

                        Draw two  geometric figures,                             Symmetrical
                        one  symmetrical about a line
                        and the other asymmetrical.                              Asymmetrical

                   teacher’s   Encourage the students to find symmetry in their own bodies and then around them in nature.
                      tip

                 138                                                                                    Mathematics-3

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