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
`(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
`(3)/(4)` to form the quadrilateral C'D'E'F'. So,

`E'F'=(3)/(4)* EF`

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

`E'F'=(3)/(4)* 12`

`E'F'=9`

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