transformations

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					                 GCSE Level Maths


            Transformations :
                  Translation
                    Rotation
                  Reflection
                        and                  Use the following sheet to investigate
                                              the the process of transformations.
                 Enlargement
                                            The worksheet randomly will transform
                                         a shape using translation, rotation, reflection
                                                         or enlargement

                                            To change the transformation press F9

produced by A V Ali and Bill Alexander
ng sheet to investigate
ss of transformations.

randomly will transform
lation, rotation, reflection



ransformation press F9
                                         x    y           20
                     translation as a
shift x    shift y        vector        -2    6
  -4         -8             -4          -2    4
                            -8          -4    4
                                        -4    10
       Show             Hide                              10
    translation      translation
                                        -6    -2
Click to change the shape               -6    -4
                                        -8    -4
 Shape 1      Shape 2       Shape 3
                                        -8    2
                                                           0
                                        -20        -10
Transformations
       * Translation *



                                                         -10




                                                         -20
 20




 10




  0
      0   10   20




-10




-20
angle of rotation    centre x       centre y     x         y             20
     -115                  0             0       -2       6
                                                 -2       4
                                                 -4       4
                                                 -4       10
       Show             Hide
      rotation        rotation
                                               6.2831   -0.7231
                                                                         10
           Click to change the shape           4.4705   0.1221
                                               5.3157   1.9348
     Shape 1     Shape 2       Shape 3
                                               10.754   -0.601
                   NOTE :
        Positive angle = anticlockwise            0        0
         Negative angle = clockwise            6.2831   -0.7231
                                                                          0
          Transformations                        0
                                               -20        0       -10
                    * Rotation *               4.4705   0.1221
                                                  0        0
                                               5.3157   1.9348

                                                                        -10




                                                                        -20
 20




 10




  0
      0   10   20




-10




-20
Adjust Mirror Line                          x          y             20
  shift x         shift y        tilt       2         2
    -7              9                95     2         6
                                            4         4
                                            2         2
       Show                Hide
     reflection         reflection        -14.648   0.5435           10
                                          -15.342   4.4827
     Click to change the shape            -16.965   2.1658
    Shape 1     Shape 2     Shape 3       -14.648   0.5435


                                           20       -299.61
                                           -20       157.59           0
                                           -20                -10         0
    Transformations
              * Reflection *




                                                                    -10




                                                                    -20
10   20
scale factor centre x    centre y    x    y          20
    2.5           0          0      -2    2
                                    -4    2
                                    -4    6
     Show              Hide         -2    6
  enlargement      enlargement
                                    -5    5
                                                     10
    Click to change the shape       -10   5
                                    -10   15
    Shape 1   Shape 2   Shape 3
                                    -5    15


                                     0    0
    Transformations                 -5    5           0
          * Enlargement *           -20
                                     0    0    -10         0
                                    -10   5
                                     0    0
                                    -10   15
                                     0    0
                                     -5   15         -10




                                                     -20
10   20

				
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posted:2/12/2013
language:English
pages:10