Answer:
The scale factor is 1/3
Step-by-step explanation:
we know that
The scale factor is equal to divide the length side of the image (square A'B'C'D') by the length side of the pre-image (square ABCD)
Let
z ---> the scale factor
x----> the length side of the image (square AB'C'D')
y----> the length side of the pre-image (square ABCD)
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=2\ units\\y=6\ units[/tex]
substitute
[tex]z=\frac{2}{6}[/tex]
simplify
[tex]z=\frac{1}{3}[/tex]
The scale factor is less than 1, so the dilation is a reduction
therefore
The scale factor is 1/3
