Respuesta :

Dilation involves changing the size of a shape.

The scale factor of dilation that takes quadrilateral Q to quadrilateral P is 0.8

The corresponding sides of quadrilaterals Q and P are:

[tex]P = 2[/tex]

[tex]Q = 2.5[/tex]

So, the scale factor (k) of dilation that takes Q to P is:

[tex]k = \frac PQ[/tex]

Substitute values for P and Q

[tex]k = \frac 2{2.5}[/tex]

Divide 2 by 2.5

[tex]k = 0.8[/tex]

This means that the scale factor is 0.8

Hence, the scale factor of dilation that takes quadrilateral Q to quadrilateral P is 0.8

Read more about dilations at:

https://brainly.com/question/11348620