CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

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



  1. Reflect the preimage overy=−xthen they−axis. Write the new coordinates.

  2. What one transformation is this double reflection the same as?

  3. What one transformation would move the image back to the preimage?

  4. Start over. Reflect the preimage over they−axis, theny=−x. How is this different from #16?

  5. Write the rules for #16 and #19. How do they differ?


Fill in the blanks or answer the questions below.



  1. Two parallel lines are 7 units apart. If you reflect a figure over both how far apart with the preimage and final
    image be?

  2. After a double reflection over parallel lines, a preimage and its image are 28 units apart. How far apart are the
    parallel lines?

  3. A double reflection over thexandyaxes is the same as a _____ of ____◦.

  4. What is the center of rotation for #23?

  5. Two lines intersect at an 83◦angle. If a figure is reflected over both lines, how far apart will the preimage and
    image be?

  6. A preimage and its image are 244◦apart. If the preimage was reflected over two intersected lines, at what
    angle did they intersect?

  7. A rotation of 45◦clockwise is the same as a rotation of ____◦counterclockwise.

  8. After a double reflection over parallel lines, a preimage and its image are 62 units apart. How far apart are the
    parallel lines?

  9. A figure is to the left ofx=a. If it is reflected overx=afollowed byx=bandb>a, then the preimage and
    image are units apart and the image is to the of the preimage.

  10. A figure is to the left ofx=a. If it is reflected overx=bfollowed byx=aandb>a, then the preimage and
    image are units apart and the image is to the of the preimage.


Review Queue Answers


1.A′(− 2 ,− 8 ),B′( 4 ,− 5 ),C′(− 4 ,− 1 ),D′(− 6 ,− 6 )
2.A′′( 2 ,− 8 ),B′′( 8 ,− 5 ),C′′( 0 ,− 1 ),D′′(− 2 ,− 6 )
3.A′( 2 , 8 ),B′( 8 , 5 ),C′′( 0 , 1 ),D′′(− 2 , 6 )


  1. The coordinates are the same as #2.

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