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

Quadrilateral CDEF Is Dilated By A Scale Factor Of Į To Form Quadrilateral CDEF What Is The Measure Of Side EF class=

Sagot :

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.

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