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Enter Segments in the blanks provided that would result in a true equation

Enter Segments in the blanks provided that would result in a true equation-example-1
User Plditallo
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1 Answer

4 votes

Answer:

  • VU/YX, or
  • UW/XW

Explanation:

You want segment names for the similar triangles that will properly complete the proportion VW/YW = ( )/( ).

Similar triangles

The AA similarity postulate tells you triangle ∆WXY ~ ∆WUV. To complete the proportion relating a segment in the triangle on the right to the corresponding segment in the triangle on the left, you can use any pair of corresponding segments:


(VW)/(YW)=\boxed{(VU)/(YX)}=\boxed{(UW)/(XW)}

The names of the segments can be written in either order: VU or UV, for example. (You will probably want to write the corresponding segment vertices in the order of their correspondence: VU/YX could be UV/XY, for example.)

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User Ropo
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