Given:
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'. So,
[tex]E'F'=\dfrac{3}{4}\times EF[/tex]
From the given figure it is clear that [tex]EF=12[/tex]. So,
[tex]E'F'=\dfrac{3}{4}\times 12[/tex]
[tex]E'F'=9[/tex]
Therefore, the measure of side E'F' is 9 units.
