Respuesta :

Answer:

The proportionality statement which is true is;

(B) [tex]\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}[/tex]

Step-by-step explanation:

From the diagram, given that the two pentagons are similar, we have;

1. [tex]\dfrac{DH}{D'H'} = \dfrac{EF}{E'F'}[/tex]

2. [tex]\dfrac{DE}{D'E'} = \dfrac{GH}{G'H'}[/tex]

By similarity of the two polygons, we can get the following statements from among the options;

3. [tex]\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}[/tex]

Therefore, the proportionality statement which is true from the given is the statement;

[tex]\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}[/tex]