Question

Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side IF.Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.Eu639BcHAnswer:Submit Answerattempt 1 out of 2Privacy Policy Terms of Service

Answer 1

`FI=21.3\text{ }`

Explanation:

There are two conditions or rules for two polygons to be similar:

-All the corresponding angles must be equal.

-All the corresponding sides must be proportional.

Then, by proportional relationships, we can find the measure of side IF:

`(39)/(11)=(FI)/(6)`

Now, solve for FI:

`\begin{gathered} FI=(39\cdot6)/(11) \\ FI=21.27 \\ \text{Round to the nearest tenth:} \\ FI=21.3\text{ } \end{gathered}`