Answer: The answer is 2.
Step-by-step explanation: We are given to find the scale factor for the dilation of a triangle shown in the figure.
The triangle ABC is dilated to form the triangle A'B'C'.
To find the scale factor, we need to divide the length of one side of the dilated triangle A'B'C' by the length of the corresponding side of the original triangle ABC.
From the figure, we note that
AB = 5 units and A'B' = 10 units.
Therefore, the scale factor will be
[tex]S_f=\dfrac{A'B'}{AB}=\dfrac{10}{5}=2.[/tex]
Thus, the answer is 2.
