Question

Figure ABCDE is similar to figure VWXYZ.Solve for the side length of WX.a 1/2b. 3c. 2.5 d 2

Answer 1

In similar figures the ratio of corresponding sides is the same:

Corresponding sides in given figure:

AB and VW

BC and WX

CD and XY

DE and YZ

EA and ZV

As you know the length of AE and ZV and need to find the value of WX taht is correspondig side of BC, you have the next:

`(ZV)/(EA)=(WX)/(BC)`
`(4)/(10)=(WX)/(5)`

You use this equation to find the length of WX:

`\begin{gathered} (5\cdot4)/(10)=WX \\ \\ (20)/(10)=WX \\ \\ \\ WX=2 \end{gathered}`Then, the length of WX is 2