CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 12. Rigid Transformations


Know What? RevisitedThe average 6 foot tall man has a 0. 415 × 6 = 2 .5 foot stride. Therefore, the transformation
rule for this person would be(x,y)→(−x,y+ 2. 5 ).


Review Questions


1.Explainwhy the composition of two or more isometries must also be an isometry.


  1. What one transformation is equivalent to a reflection over two parallel lines?

  2. What one transformation is equivalent to a reflection over two intersecting lines?


Use the graph of the square below to answer questions 4-7.



  1. Perform a glide reflection over thex−axis and to the right 6 units. Write the new coordinates.

  2. What is the rule for this glide reflection?

  3. What glide reflection would move the image back to the preimage?

  4. Start over. Would the coordinates of a glide reflection where you move the square 6 units to the right and then
    reflect over thex−axis be any different than #4? Why or why not?


Use the graph of the triangle below to answer questions 8-10.

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