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9.6 Symmetry                                                           January 31, 2013




                                 Bellwork
            In exercises 2 and 3, use the quadrilateral HIJK with 
            vertices  H(3, 0), I( 1,–4), J(0, –4), K(–1, –3).

      2.    Use the coordinate rules to name the vertices of 
      the image of HIJK for a rotation of 180° about the 
      origin.
                          H′ (­3, 0), I′(­1, 4), J′(0, 4), K′(1, 3) 


      3.     Use matrix multiplication to find  the image 
      matrix that represents a 270° rotation of HIJK about 
      the origin.              H′    I′      J′     K′

                                   [    0   –4     –4     –3
                                       –3   –1       0       1   ]




                                           Feb 7­7:20 AM

HW pg. 621 #3­14, 17­20 all                                                               1
9.6 Symmetry                                                 January 31, 2013


                                                 9.6 Identify Symmetry
    line of symmetry: line where figure can be mapped onto itself by a
                      reflection.




                                 Feb 7­7:57 AM

HW pg. 621 #3­14, 17­20 all                                                     2
9.6 Symmetry                                                                   January 31, 2013

               Rotational Symmetry: if figure can be mapped onto itself by a
                                    rotation of 180 or less
               Center of Symmetry: center of figure




                                          Feb 7­8:00 AM

HW pg. 621 #3­14, 17­20 all                                                                       3
9.6 Symmetry                                                 January 31, 2013




      Point Symmetry: when every part has a matching part.




                                 Feb 7­8:18 AM

HW pg. 621 #3­14, 17­20 all                                                     4
9.6 Symmetry                                     January 31, 2013




                                HW
                               pg. 621
                               #3-14,
                              17-20 all




                                 Feb 7­8:21 AM

HW pg. 621 #3­14, 17­20 all                                         5

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9.6 notes

  • 1. 9.6 Symmetry January 31, 2013 Bellwork In exercises 2 and 3, use the quadrilateral HIJK with  vertices  H(3, 0), I( 1,–4), J(0, –4), K(–1, –3). 2.    Use the coordinate rules to name the vertices of  the image of HIJK for a rotation of 180° about the  origin. H′ (­3, 0), I′(­1, 4), J′(0, 4), K′(1, 3)  3.     Use matrix multiplication to find  the image  matrix that represents a 270° rotation of HIJK about  the origin.  H′    I′      J′     K′ [ 0   –4     –4     –3 –3   –1       0       1 ] Feb 7­7:20 AM HW pg. 621 #3­14, 17­20 all 1
  • 2. 9.6 Symmetry January 31, 2013 9.6 Identify Symmetry line of symmetry: line where figure can be mapped onto itself by a reflection. Feb 7­7:57 AM HW pg. 621 #3­14, 17­20 all 2
  • 3. 9.6 Symmetry January 31, 2013 Rotational Symmetry: if figure can be mapped onto itself by a rotation of 180 or less Center of Symmetry: center of figure Feb 7­8:00 AM HW pg. 621 #3­14, 17­20 all 3
  • 4. 9.6 Symmetry January 31, 2013 Point Symmetry: when every part has a matching part. Feb 7­8:18 AM HW pg. 621 #3­14, 17­20 all 4
  • 5. 9.6 Symmetry January 31, 2013 HW pg. 621 #3-14, 17-20 all Feb 7­8:21 AM HW pg. 621 #3­14, 17­20 all 5