backoffnatesmine12
backoffnatesmine12 backoffnatesmine12
  • 10-07-2017
  • Mathematics
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Quadrilateral ABCD is similar to quadrilateral WXYZ. If AD = 12, DC = 6, and ZY = 36, find WZ.

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bcalle
bcalle bcalle
  • 10-07-2017
When polygons are similar their corresponding angles are congruent and their corresponding sides are proportional.
The order of the proportionality statement tells us which angles and sides are corresponding.
To solve, set up a proportion.
AD/WZ = DC/ZY
12/WZ = 6/36
Cross multiply.
6(WZ) = 12*36
6(WZ) = 432
Divide both sides by 6
WZ = 72
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