Page 249 - Start Up Mathematics_6
P. 249

Solution:                Shape                  Rough sketch         Number of lines of symmetry




                           An equilateral triangle                                              3





                           A line segment                                                       2




                           An isosceles trapezium                                               1






                           A sector of a circle                                                 1




                           A rhombus                                                            2






                           A regular heptagon                                                   7




            Example 10: Can you draw a quadrilateral which has:
                          (a)  no lines of symmetry?                  (b)  exactly one line of symmetry?

                          (c)  exactly two lines of symmetry?         (d)  exactly three lines of symmetry?
                          (e)  exactly four lines of symmetry?        (f)  more than four lines of symmetry?
                          Draw a rough sketch of the figure in each case.

                                                                     l 1
                                                                                                     l
                                                                                                     1
            Solution:     (a)                               (b)                       (c)                     l 2





                                                                     l
                                                                      1       l
                                                                              2

                          (d)  not possible                 (e)              l 3      (f) not possible


                                                                             l
                                                                              4
            Example 11: On a squared sheet of paper, sketch the following:
                          (a)  A triangle with a horizontal line of symmetry but no vertical line of symmetry
                          (b)  A quadrilateral with both horizontal and vertical lines of symmetry


                                                                                                            241
   244   245   246   247   248   249   250   251   252   253   254