Question

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

Answer 1

• 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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