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

Measure of E'F' = 9

Explanation:

If a quadrilateral is dilated by a scale factor of
`(3)/(4)`, all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.

Scale factor =
`\frac{\text{Dimension of image}}{\text{Dimension of preimage}}`

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

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

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

= 9

Therefore, measure of side E'F' will be 9.