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9.1 Translation Vectors                                                                                                               January 20, 2012
                         9.1 Translation using Vectors                                           Isometry: transformation that preserves length & angle 
                                                                                                            measure
                                                                                                            (congruence transformation)
          Image: new figure
          Preimage: original figure
          Translation: slides every point the same distance




                  Translation Theorem: A translation is an isometry. 
                                                   B'

                                  B

                                                                   ABC ≅      A'B'C'
                                              A'        C'

                             A        C

                  Vector: a quantity that has both direction and magnitude (size)

                  Vector FG: FG                                   Terminal (ending) 
                                                                  Point: G
                                                              G
                                 Initial (starting)
                                 Point: F                                 vertical component
                                                    F


                                                        horizontal component




                   Component Form: horizontal & vertical components  5,2




                                                                                               HW pg. 576 #4­28 evens




HW pg. 576 #4­28 evens                                                                                                                                     1

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9.1 notes

  • 1. 9.1 Translation Vectors January 20, 2012 9.1 Translation using Vectors Isometry: transformation that preserves length & angle  measure (congruence transformation) Image: new figure Preimage: original figure Translation: slides every point the same distance Translation Theorem: A translation is an isometry.  B' B ABC ≅      A'B'C' A' C' A C Vector: a quantity that has both direction and magnitude (size) Vector FG: FG Terminal (ending)  Point: G G Initial (starting) Point: F vertical component F horizontal component Component Form: horizontal & vertical components  5,2 HW pg. 576 #4­28 evens HW pg. 576 #4­28 evens 1