Question

Using the diagram below, which of the following proportionality statements are true? Select all that apply.

Answer 1

Answer:

The proportionality statement which is true is;

(B) $\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}$

Step-by-step explanation:

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

1. $\dfrac{DH}{D'H'} = \dfrac{EF}{E'F'}$

2. $\dfrac{DE}{D'E'} = \dfrac{GH}{G'H'}$

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

3. $\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}$

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

$\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}$