Respuesta :

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.