Page 367 - Math Smart - 7
P. 367

Object and image

       Just like objects, shapes can also go through a change or a transformation. In the
       transformation, the original shape is called the object, and the transformed shape
       is called the image.

              Translation                 Reflection                 Rotation
                                         ine of r ifle :tio 1

                        ect                                             LWfi
                        PSi

                                     object        image
                        W
                imcige                                         :en re (f  f   irec tior of
                                                                Otatlor    1'
                                                                              )tat on










               Investigate!



                     A                        B                         C


              bbject                                  1
                                              image
                   5



                     J
                                                                      image

                    image



         Q Identify each transformation above.
         Q Measure the dimensions (sides and angles) of the shape and the image In
             each transformation.
             Label the dimensions on each shape.
         Q Compare the dimensions of the object to the image for each
             transformation. What do you see?



       Notice that each object's shape and size did not change in each transformation. In
       translation, reflection and rotation, the object and the image are of the same size
       and shape. Only the orientation or position of the object has changed. We say the
       object and the image are congruent.
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