Respuesta :

Answer:

The scale factor of the dilation is;

[tex]\frac{1}{2}[/tex]

Explanation:

Given that;

Scale factor is image length divided by pre-image length;

[tex]\text{ Scale factor=}\frac{\text{ image length}}{\text{Pre image length}}[/tex]

From the diagram;

[tex]\begin{gathered} \text{Preimage length = 2 in} \\ \text{image length = 1 in} \end{gathered}[/tex]

Applying the above formula;

[tex]\text{Scale factor =}\frac{1\text{ in}}{\text{2 in}}=\frac{1}{2}[/tex]

Therefore, the scale factor of the dilation is;

[tex]\frac{1}{2}[/tex]

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