Question

Triangle TUV is dilated by a scale factor of \frac{1}{3} 1/3

Answer 1

The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.

What is the scale factor?

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

$Scale \ Factor=\dfrac{1}{3}$

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.

$\dfrac{1}{3}=\dfrac{UV}{U'V'}$

$\dfrac{1}{3}=\dfrac{UV}{33}$

$UV=11$

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.

To know more about Scale factor follow

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