Question

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

Answer 1

The proportionality statement which is true is;

(B)
`(G'H')/(GH) = (E'F')/(EF)`

Explanation:

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

1.
`(DH)/(D'H') = (EF)/(E'F')`

2.
`(DE)/(D'E') = (GH)/(G'H')`

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

3.
`(G'H')/(GH) = (E'F')/(EF)`

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

`(G'H')/(GH) = (E'F')/(EF)`