Respuesta :

The side length of square ABCD is 3 units

The side length of square A'B'C'D' is 1 unit

The scale factor is by what number we multiply the side length of ABCD to get A'B'C'D'.

Let that be "x", so we can say >>>

3 times "what number" to get 1

or,

3 times x to get 1

In equation, that is:

[tex]3x=1[/tex]

Solving for x:

[tex]\begin{gathered} 3x=1 \\ x=\frac{1}{3} \end{gathered}[/tex]

Hence,

The scale factor is

[tex]\frac{1}{3}[/tex]

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