Page 193 - Maths Class 05
P. 193

Slide

             1.     Slide or translate a figure.





             2.     Reflect a figure across a line.



                                                                                 Reflect
                                                                     Rotate
             3.     Rotate a figure around a point.






            Reflection

                                                                                                      Object       Image
            Reflection,  as  you  normally  understand,  is  seeing  the  image  of
            something in a mirror.                                                                             Mirror

            If you stand in front of a mirror, the mirror image is the reverse image

            of yours. Right becomes left and left becomes right in a mirror image.

            Similarly, reflection in geometry is flipping a figure across a line such that it appears to
            be  the  mirror  image  or  reflection  of  the  original  object.  Each  point  in  the  reflected

            figure (mirror image) is at the same distance from the line as the corresponding point
            in the original object. The line is called the mirror line        or line of symmetry     .

            Look at the following reflection.


                                      Mirror line
            A                                        A¢    DA¢B¢C¢ is the reflection of DABC in the given line.
                                                           As can be seen, the distances of points A¢, B¢ and

                                                           C¢  from  the  mirror  line  are  the  same  as  the
                                                           distances of points A, B and C respectively from

            B                C    C¢                 B¢    the mirror line.


            Some examples of reflection are :





















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