CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

12.4. Rotations http://www.ck12.org


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Two ReflectionsThe vertices of 4 GHIareG(− 2 , 2 ),H( 8 , 2 )andI( 6 , 8 ). Use this information to answer questions
24-27.



  1. Plot 4 GHIon the coordinate plane.

  2. Reflect 4 GHIover thex−axis. Find the coordinates of 4 G′H′I′.

  3. Reflect 4 G′H′I′over they−axis. Find the coordinates of 4 G′′H′′I′′.

  4. Whatonetransformation would be the same as this double reflection?


Multistep Construction Problem



  1. Draw two lines that intersect,mandn, and 4 ABC. Reflect 4 ABCover linemto make 4 A′B′C′. Reflect
    4 A′B′C′over linento get 4 A′′B′′C′′. Make sure 4 ABCdoes not intersect either line.

  2. Draw segments from the intersection point of linesmandntoAandA′′. Measure the angle between these
    segments. This is the angle of rotation between 4 ABCand 4 A′′B′′C′′.

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