Question

vwxyz ~ dcgfe. find ef and fg.
ef=
fg=

Explanation:

Step1: Find the scale factor

Since \(VWXYZ\sim DCGFE\), the ratio of corresponding sides is the same. The ratio of \(ED\) to \(ZY\) is \(\frac{ED}{ZY}=\frac{4}{40}=\frac{1}{10}\)

Step2: Find \(EF\)

\(EF\) corresponds to \(XW\). Using the scale factor \(\frac{1}{10}\), we have \(EF=\frac{1}{10}\times XW\). Given \(XW = 65\), so \(EF=\frac{65}{10}=6.5\)

Step3: Find \(FG\)

\(FG\) corresponds to \(WV\). Using the scale factor \(\frac{1}{10}\), we have \(FG=\frac{1}{10}\times WV\). Given \(WV = 45\), so \(FG=\frac{45}{10}=4.5\)

Answer:

\(EF = 6.5\)
\(FG=4.5\)