Respuesta :

Given:

The graph of a figure and its image after dilation.

To find:

The scale factor.

Solution:

From the given graph it is clear that

ND = 3 units

N'D' = 6 units.

We know that,

[tex]\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of original figure}}[/tex]

[tex]\text{Scale factor}=\dfrac{N'D'}{ND}[/tex]

[tex]\text{Scale factor}=\dfrac{6}{3}[/tex]

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

Therefore, the scale factor is 2 and the correct option is A.