Answer: A.4 units
Step-by-step explanation:
We know that if a figure is dilated by a scale factor of k , then the measure of the corresponding image (l') of a line segment having measure 'l' is given by :-
[tex]l'=kl[/tex]
Given : Square RSTU dilates by a factor of 1\2 with respect to the origin to create square R'S'T'U'.
The measure of line segment R'S' = 2 units
The scale factor : [tex]k=\dfrac{1}{2}[/tex]
Using the above equation , we have
[tex]R'S'=\dfrac{1}{2}RS\\\\\Rightarrow\ RS= 2\times R'S'\\\\\Rightarrow\ RS= 2\times2=4[/tex]
Hence, RS = 4 units.
