Question

Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?

Answer 1

Given:

CDEF is dilated by a scale factor of $\dfrac{3}{4}$ 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 $\dfrac{3}{4}$ to form the quadrilateral C'D'E'F'. So,

$E'F'=\dfrac{3}{4}\times EF$

From the given figure it is clear that $EF=12$. So,

$E'F'=\dfrac{3}{4}\times 12$

$E'F'=9$

Therefore, the measure of side E'F' is 9 units.