Question

Need help with a geometry test review

Answer 1

Since ΔPQR is similar to ΔXYZ:

`k\cdot PQ=XY`

Where:

k = Scale factor

so:

`\begin{gathered} k\cdot5=30 \\ solve_{\text{ }}for_{\text{ }}k\colon \\ k=(30)/(5) \\ k=6 \end{gathered}`

Therefore:

`\begin{gathered} k\cdot PR=XZ \\ XZ=6\cdot6=36 \\ ------ \\ k\cdot QR=YZ \\ YZ=6\cdot10=60 \end{gathered}`

Since the perimeter is the sum of the sides: