The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. It is a process of enlarging the image of an object by some factor.
here we have the scale factor
[tex]Scale \ Factor=\dfrac{1}{3}[/tex]
Since the triangle, TUV is dilated by the scale factor 1/3 then the sides of triangle will also be in the same dilation so we can write.
[tex]\dfrac{1}{3}=\dfrac{UV}{U'V'}[/tex]
[tex]\dfrac{1}{3}=\dfrac{UV}{33}[/tex]
[tex]UV=11[/tex]
Hence the measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
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