Answer:
Measure of E'F' = 9
Step-by-step explanation:
If a quadrilateral is dilated by a scale factor of [tex]\frac{3}{4}[/tex], all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.
Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of preimage}}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{EF}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{12}[/tex]
E'F' = [tex]\frac{3}{4}\times 12[/tex]
= 9
Therefore, measure of side E'F' will be 9.
