Question

What is the scale factor of XYZ to UVW

Answer 1

Answer: 
$\boxed {\frac{1}{5}}$

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Solution-
$60 * \frac{1}{5} = 12$

$90 * \frac{1}{5} = 18$

$75 * \frac{1}{5} = 15$
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Hence, the answer would be $\boxed {\frac{1}{5}}$

Answer 2

Answer:

$\frac{1}{5}$

Step-by-step explanation:

We want to find the scale factor of the dilation from ΔXYZ to ΔUVW.

The scale factor is given by the formula;

$k=\frac{Image\:Length}{Corresponding\:Object\:Length}$

Since the dilation is from ΔXYZ to ΔUVW, our image triangle is ΔUVW.

We can now use any of the corresponding sides to determine the scale factor.

$k=\frac{|UV|}{|XY|}$

$\Rightarrow k=\frac{12}{60}$

We simplify to get;

$\Rightarrow k=\frac{12}{12\times5}$

We cancel the common factors to get;

$\Rightarrow k=\frac{1}{5}$

Therefore the scale factor is $\frac{1}{5}$