Answer: The correct option is (A). 3.
Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.
As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are
AB = 5 units, BC = 4 units, CA = 3 units,
DE = 15 units, EF = 12 units, FD = 9 units.
We know that the scale factor is given by
[tex]S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.[/tex]
Therefore, the scale factor of dilation from from ΔABC to ΔDEF is
[tex]S=\dfrac{DE}{AB}=\dfrac{15}{5}=3.[/tex]
Thus, the required scale factor is 3.
Option (A) is correct.
