Answer with explanation:
The length of the a line -segment after a dilation with a scale factor "k" is given by :
[tex]k\times x[/tex] , where x is the length of the original line -segment .
Given : The length of the line-segment CD= 48 units
Scale factor : k= one-fourth = [tex]\dfrac{1}{4}[/tex]
Then, the length of measure of the dilated image of segment CD = [tex]48\times k[/tex]
[tex]=48\times\dfrac{1}{4}=12\ units[/tex]
Hence, the length of measure of the dilated image of segment CD is 12 units.
Hence, the correct answer is B. 12 units.
Since the next question is exactly same, so the answer for that question is also 12 units (which is not given in option.).
