Tuesday, February 28, 2012

Rotational Symmetry

Look at the picture.  Which of the four figures have rotational symmetry?  For each one that does, find the angle of rotation and tell the multiples of this angle that rotate the figure so that it looks like the original.

6 comments:

  1. The ones that have rotation symmetry are 6,7, and 9

    6= 45 degrees

    7= 105 degrees

    8= 90 degrees

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    1. So what are the multiples of the angle rotation? If design 6 has an angle of rotation of 45 degrees, then the multiples are in increments of 45 degrees. And I would like to view your proof that 8 has rotational symmetry.

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  2. The three shapes the have rotational symmetry 6,7, and 9.

    6=45 degrees

    7=105 degrees

    9= 90 degrees

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    Replies
    1. What are the multiples of the angle rotation? If design 6 has an angle rotation of 45 degrees, then the multiples are in increments 45 degrees. Please add these.

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  3. all of them have rotational symmetry except for number 8.
    6 the angles are : 90 , 180 , 270 and 360 .
    7 the angles are : 75 , 135 , 210 , 280 and 360
    9 the angles are : 90 , 180 , 270 and 360

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    Replies
    1. Thank you for including the angle multiples. The only one that I have questions about is #7. Your angle measure is a little big because 75x5 (5=the number of rotations) is 375 which is more than the total degrees in a circle. Our angle rulers are a little harder to get detailed readings. The angle of rotation is really 72 degrees. Nicely done.

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