Question

Look at the figure which now shows the value of x. Write the similarity ratio as a fraction in lowest terms

Answer 1

Given : two similar figures

So, the corresponding sides will be in proportion

As shown in the figure :

DE = x , TU = 6

EF = 4 , UV = 12

So,

`\begin{gathered} (DE)/(TU)=(EF)/(UV) \\ \\ (x)/(6)=(4)/(12) \\ \\ (x)/(6)=(1)/(3) \end{gathered}`

So, the similarity ratio as a fraction will be :

`(x)/(6)=(1)/(3)`

Solve to find x :

`\begin{gathered} x=6\cdot(1)/(3) \\ \\ x=2 \end{gathered}`

So, the value of x = 2