CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

12.1. Exploring Symmetry http://www.ck12.org



  1. Every parallelogram has rotational symmetry.

  2. A rectangle has 90◦, 180 ◦, and 270◦angles of rotation.

  3. Draw a quadrilateral that has two pairs of congruent sides and exactly one line of symmetry.

  4. Draw a figure with infinitely many lines of symmetry.

  5. Draw a figure that has one line of symmetry and no rotational symmetry.

  6. Fill in the blank: A regular polygon withnsides has __ lines of symmetry.


Find all lines of symmetry for the letters below.


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  1. Do any of the letters above have rotational symmetry? If so, which one(s) and what are the angle(s) of rotation?


Determine if the words below have line symmetry or rotational symmetry.



  1. OHIO
    22.MOW
    23.WOW
    24.KICK
    25.pod


Trace each figure and then draw in all lines of symmetry.


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