Page 214 - ICSE Math 6
P. 214

(m)  A kite-shaped figure has only 1 line of symmetry as shown in
                        the adjoining figure.





                    Example 1:  Draw all possible lines of symmetry of English alphabets given below.


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


                                  (e)                   (f)                  (g)



                    Solution:     (a)                   (b)                  (c)                   (d)



                                  (e)                   (f)                  (g)  Z has no line of symmetry.



                    RefIection and Symmetry
                    If we see the image of any object in a mirror, then
                    the object and its mirror image are symmetrical
                    in reference to the mirror line.
                    On a paper mirror line can be treated as the line
                    of  symmetry.  The  image  is  a  reflection  of  the
                    object in the line of symmetry. When a figure is
                    reflected about a line, the image is congruent to                          Object   Mirror   Image
                    the original figure, i.e., the lengths and angles of                                 line
                    the image are equal to the corresponding lengths
                    and angles of the original figure. However, in one aspect there is a change in the image and the object.
                    The image of the object is laterally inverted.


                            Try These

                            1.   Collect objects like leaves, kite, stamps, coins, etc., and check them for reflection symmetry using a
                              mirror.
                            2.    Draw the reflection of the letters D, F and Z using a mirror.



                    Example 2:  Complete the figure to make it symmetrical
                                  about line l.
                                                                                                              l




                    Solution:                              l








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