Transformations:                                           Name___________________________________
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       Reflections and Translations
                                                                                         Date________________
       Graph the image of the figure using the transformation given.
       1)  reflection across the y-axis
                                                            2)  reflection across y = 1
                         y
                                                                              y
                                        x
                                                                                            x
           W
                                                                                F
                                                            4)  reflection across the x-axis
       3)  reflection across x = 3
                                                                              y
                         y
                                                                                            x
                                        x
                                       W
                                                                                        P
       5)  reflection across the y-axis                     6)  reflection across the x-axis
                         y
                                                                              y
                                                                Q
                                                                             S
                                                                P
                             T
                                        x
                                                                                            x
                                    J
                             L
                                                                                                 Worksheet by Kuta Software LLC
                                                           -1-
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                                                        8)  reflection across the y-axis
       7)  reflection across y = 1
                                                                         y
                        y
                                                                W
                 X
                                                                      X
                     U
                                                          V
                                                                                       x
              E
                                     x
       9)  reflection across the x-axis                 10)  reflection across the x-axis
                        y                                                y
                                                                              I
                                                                       T
                                                                       P
                                                                                F
                                     x                                                 x
                                 U
                             Q
                                    C
                                 H
       11)  reflection across the y-axis
                                                                       (   )   (          )
                                                        12)  translation:  x, y  ®  x + 5, y + 3
                        y
                                                                         y
                           U
                                  R
                     K
                                     x
                                                                                       x
                         B
                                                               R
                                                                                           Worksheet by Kuta Software LLC
                                                       -2-
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                          (    )    (            )                                   (    )    (            )
        13)  translation:  x, y  ®  x - 1, y - 2                    14)  translation:  x, y  ®  x + 7, y - 5
                             y                                                          y
                                                                            X
                                             x                                                          x
                       V
                          (    )    (        )                                       (    )    (            )
        15)  translation:  x, y  ®  x, y - 1                        16)  translation:  x, y  ®  x - 1, y - 3
                             y                                                          y
                                                                                         T
                                                                                                       D
                                                                                         J
                                             x                                                          x
                 N
                         K
                H
                          (    )    (            )                                   (    )    (            )
        17)  translation:  x, y  ®  x + 3, y + 4                    18)  translation:  x, y  ®  x + 1, y - 1
                             y                                                          y
                                                                                       P
                                                                            G
                                                                                           T
                                                                            K
                                             x                                                          x
                 Q
                      T
             E
                                                                                                             Worksheet by Kuta Software LLC
                                                                   -3-
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       Transformations:                                           Name___________________________________
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       Reflections and Translations
                                                                                         Date________________
       Graph the image of the figure using the transformation given.
       1)  reflection across the y-axis
                                                            2)  reflection across y = 1
                         y
                                                                              y
                                                                                F'
                                        x
                                                                                            x
           W                        W'
                                                                                F
                                                            4)  reflection across the x-axis
       3)  reflection across x = 3
                                                                              y
                         y
                                                                                        P'
                                                                                            x
                                        x
                                       W
                           W'
                                                                                        P
       5)  reflection across the y-axis                     6)  reflection across the x-axis
                         y
                                                                              y
                                                                Q
                                                                             S
                                                                P
                  T'
                             T
                                        x
                                                                                            x
           J'
                                    J
                                                                P'
                             L
                  L'
                                                                             S'
                                                                Q'
                                                                                                 Worksheet by Kuta Software LLC
                                                           -1-
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