Question

What is the scale factor of XYZ to UVW

Answer 1

Answer:

`\boxed {(1)/(5)}`

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Solution-

`60 * (1)/(5) = 12`


`90 * (1)/(5) = 18`


`75 * (1)/(5) = 15`
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Hence, the answer would be
`\boxed {(1)/(5)}`

Answer 2

`(1)/(5)`

Explanation:

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

The scale factor is given by the formula;

`k=(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=(|UV|)/(|XY|)`

`\Rightarrow k=(12)/(60)`

We simplify to get;

`\Rightarrow k=(12)/(12*5)`

We cancel the common factors to get;

`\Rightarrow k=(1)/(5)`

Therefore the scale factor is
`(1)/(5)`