A scale factor of [tex]\frac{5}{2}[/tex] was used in the dilation.
Let suppose that point C is out of both line segments [tex]\overline{MP}[/tex] and [tex]\overline{M'P'}[/tex], which are not collinear to each other. A dilation ratio can be defined by means of the following formula:
[tex]k = \frac{MP}{M'P'}[/tex] (1)
Where:
[tex]M'P'[/tex] - Length of the original line segment.
[tex]MP[/tex] - Length of the dilated line segment.
[tex]k[/tex] - Dilation ratio (Scale factor)
If we know that [tex]M'P' = 4[/tex] and [tex]MP = 10[/tex], then the dilation ratio (scale factor) is:
[tex]k = \frac{10}{4}[/tex]
[tex]k = \frac{5}{2}[/tex]
A scale factor of [tex]\frac{5}{2}[/tex] was used in the dilation.
We kindly invite to see this question on dilations: https://brainly.com/question/13176891
