Answer:
Given the length of AB = 5 units, scale factor(c) = [tex]\frac{5}{2}[/tex]
When we dilate a line segment, the original line segment will always be parallel to the image.
Also, if the length of the original line segment is L and the scale factor is c, the length of the image will be after dilation is, cL
length of image(A'B') = [tex]scale factor \times length of original length (AB)[/tex]
A'B = [tex]\frac{5}{2} \times 5 = \frac{25}{2}[/tex]
Therefore, the length of the image of AB is, [tex]\frac{25}{2}[/tex] units.
