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6.7 Dilations                                          November 28, 2012




                                                13.5
           12




                        23.8




     Bellwork




                               Nov 30­1:31 PM

HW pg. 412 #3­21 odds                                                      1
6.7 Dilations                                                         November 28, 2012




                        6.7 Similarity Transformations

     Dilation: stretches or shrinks

     Center of Dilation: fixed point

     Scale Factor: ratio of a side length to corresponding side length of original



     Coordinate Notation for a Dilation: (x,y) ‐> (kx, ky)
     Reduction: 0 < k < 1
     Enlargement: k > 1




                                       Nov 30­2:06 PM

HW pg. 412 #3­21 odds                                                                     2
6.7 Dilations                           November 28, 2012




                        Dec 7­8:07 AM

HW pg. 412 #3­21 odds                                       3
6.7 Dilations                           November 28, 2012




                        Dec 7­9:08 AM

HW pg. 412 #3­21 odds                                       4
6.7 Dilations                                                  November 28, 2012

        Reading Diagrams
        A point of the figure and its image lie on the same ray from the
        origin for a center of dilation at the origin.




                                    Dec 7­8:08 AM

HW pg. 412 #3­21 odds                                                              5
6.7 Dilations                           November 28, 2012




     HW pg. 412 #3‐21 odds




                        Dec 7­9:10 AM

HW pg. 412 #3­21 odds                                       6

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6.7 notes

  • 1. 6.7 Dilations November 28, 2012 13.5 12 23.8 Bellwork Nov 30­1:31 PM HW pg. 412 #3­21 odds 1
  • 2. 6.7 Dilations November 28, 2012 6.7 Similarity Transformations Dilation: stretches or shrinks Center of Dilation: fixed point Scale Factor: ratio of a side length to corresponding side length of original Coordinate Notation for a Dilation: (x,y) ‐> (kx, ky) Reduction: 0 < k < 1 Enlargement: k > 1 Nov 30­2:06 PM HW pg. 412 #3­21 odds 2
  • 3. 6.7 Dilations November 28, 2012 Dec 7­8:07 AM HW pg. 412 #3­21 odds 3
  • 4. 6.7 Dilations November 28, 2012 Dec 7­9:08 AM HW pg. 412 #3­21 odds 4
  • 5. 6.7 Dilations November 28, 2012 Reading Diagrams A point of the figure and its image lie on the same ray from the origin for a center of dilation at the origin. Dec 7­8:08 AM HW pg. 412 #3­21 odds 5
  • 6. 6.7 Dilations November 28, 2012 HW pg. 412 #3‐21 odds Dec 7­9:10 AM HW pg. 412 #3­21 odds 6