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9.10 rotational symmetry                                    April 10, 2012




                                       Graph the triangle.
                                       A(1,3), B(4, 1), C(3, ­2)




                                     Bellwork
        Objective: graph rotations and identify rotational symmetry




HW pg. 509 #1­17 odds                                                        1
9.10 rotational symmetry                                               April 10, 2012




     page 505 # 1­               
     1. None                    6.    10.  
     2. 



                                      11. 
     3.                         7. 




     4.                               12. No, a figure and its reflection are congruent.
               D                      13. 
                           E
                                8. 
                    T T'
               D'          E'




     5.                               14. 
            K N N' K'
                                9. 

           T    U U'       T'




HW pg. 509 #1­17 odds                                                                      2
9.10 rotational symmetry         April 10, 2012




    15.                    18.




    16.




    17.




HW pg. 509 #1­17 odds                             3
9.10 rotational symmetry                                                   April 10, 2012




    rotation ­ turns a figure about a fixed point (center of rotation)

    angle of rotation ­ angle measure of the rotation

                                                   R'               Q'



                                                                     90o   R

                                           Center of rotation   P          Q

     A figure and its rotation image are congruent.



                           All rotations that we will do will be counterclockwise.




HW pg. 509 #1­17 odds                                                                       4
9.10 rotational symmetry   April 10, 2012




HW pg. 509 #1­17 odds                       5
9.10 rotational symmetry                                                       April 10, 2012




    Find the vertices of the image of ΔACB after a rotation of 180o about the origin.




                                                                       B
                                                                           C
                                                                   A




HW pg. 509 #1­17 odds                                                                           6
9.10 rotational symmetry                                                                              April 10, 2012




    A figure has rotational symmetry if you can rotate it 180o, or less, so that its image matches the original figure.

    The angle (or its measure) through which the figure rotates is the angle of rotation.  




                                                                                              A

       Angle of Rotation is 360o ÷                                          A'




HW pg. 509 #1­17 odds                                                                                                     7
9.10 rotational symmetry                                                       April 10, 2012




      Judging from appearance, state whether the flower has rotational symmetry. 
       If so, what is the angle of rotation.



                                                                 2


                                                      3                        1




HW pg. 509 #1­17 odds                                                                           8
9.10 rotational symmetry                                                April 10, 2012




     Does the figure have rotational symmetry?  What is the angle of rotation?




HW pg. 509 #1­17 odds                                                                    9
9.10 rotational symmetry   April 10, 2012




     9.10
     HW
     pg. 509
     #1 ­ 17 odds



HW pg. 509 #1­17 odds                       10

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9.10 notes

  • 1. 9.10 rotational symmetry April 10, 2012 Graph the triangle. A(1,3), B(4, 1), C(3, ­2) Bellwork Objective: graph rotations and identify rotational symmetry HW pg. 509 #1­17 odds 1
  • 2. 9.10 rotational symmetry April 10, 2012 page 505 # 1­    1. None 6.  10.   2.  11.  3.  7.  4.  12. No, a figure and its reflection are congruent. D 13.  E 8.  T T' D' E' 5. 14.  K N N' K' 9.  T U U' T' HW pg. 509 #1­17 odds 2
  • 3. 9.10 rotational symmetry April 10, 2012 15. 18. 16. 17. HW pg. 509 #1­17 odds 3
  • 4. 9.10 rotational symmetry April 10, 2012 rotation ­ turns a figure about a fixed point (center of rotation) angle of rotation ­ angle measure of the rotation R' Q' 90o R Center of rotation P Q A figure and its rotation image are congruent. All rotations that we will do will be counterclockwise. HW pg. 509 #1­17 odds 4
  • 5. 9.10 rotational symmetry April 10, 2012 HW pg. 509 #1­17 odds 5
  • 6. 9.10 rotational symmetry April 10, 2012 Find the vertices of the image of ΔACB after a rotation of 180o about the origin. B C A HW pg. 509 #1­17 odds 6
  • 7. 9.10 rotational symmetry April 10, 2012 A figure has rotational symmetry if you can rotate it 180o, or less, so that its image matches the original figure. The angle (or its measure) through which the figure rotates is the angle of rotation.   A Angle of Rotation is 360o ÷  A' HW pg. 509 #1­17 odds 7
  • 8. 9.10 rotational symmetry April 10, 2012 Judging from appearance, state whether the flower has rotational symmetry.   If so, what is the angle of rotation. 2 3 1 HW pg. 509 #1­17 odds 8
  • 9. 9.10 rotational symmetry April 10, 2012 Does the figure have rotational symmetry?  What is the angle of rotation? HW pg. 509 #1­17 odds 9
  • 10. 9.10 rotational symmetry April 10, 2012 9.10 HW pg. 509 #1 ­ 17 odds HW pg. 509 #1­17 odds 10