Answer:
Option (2)
Step-by-step explanation:
ΔDEF is a dilation image of ΔABC.
Rule for the dilation,
Scale factor = [tex]\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}[/tex]
= [tex]\frac{DE}{AB}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, scale factor by which ΔABC is dilated is [tex]\frac{1}{2}[/tex].
Option (2) will be the correct option.
