Respuesta :
The dilation which represented by the line is enlargement and the scale factor of dilation is 2.
What is the dilation of the figure?
Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The distance from O to A is 3. Therefore,
[tex]OA=3[/tex]
The distance from A to A prime is 3. Therefore,
[tex]AA'=3[/tex]
Here, the new length of the line segment is,
[tex]OA'=OA+AA'\\OA'=3+3\\OA'=6[/tex]
The scale factor of dilation is,
[tex]r=\dfrac{OA'}{OA}\\r=\dfrac{6}{3}\\r=2[/tex]
The scale factor is 2 and the image is enlarged.
Hence, the dilation which represented by the line is enlargement and the scale factor of dilation is 2.
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
