Question

The two shapes are similar. Triangle ZCW is the original what is the scale factor Z:(0,4) W:(-4,0) C:(4,-4) R:(0,3) J:(-1,2) Q:(1,1)

Answer 1

Let's find the length of one of the sides of WZC and one of the sides of JRQ:

`\begin{gathered} WZ=\sqrt[]{(-4-0)^2+(0-4)^2}=\sqrt[]{32}=4\sqrt[]{2} \\ JR=\sqrt[]{(0-(-1))^2+(3-2)^2}=\sqrt[]{2} \\ WZ\cdot k=JR \\ 4\sqrt[]{2}\cdot k=\sqrt[]{2} \\ k=\frac{\sqrt[]{2}}{4\sqrt[]{2}} \\ k=(1)/(4) \end{gathered}`