The image of polygon MNOP after a similarity transformation is polygon WXYZ each side of MNOP is two times as long as the corresponding side of WXYZ what is the scale factor of the dilation in the similarity transformation
Accepted Solution
A:
Answer: 2Step-by-step explanation:Given : The image of polygon MNOP after a similarity transformation is polygon WXYZ each side of MNOP is two times as long as the corresponding side of WXYZ .i.e. [tex]MN=2WX[/tex] [ Since MN corresponds WX ]We know that for any two similar geometric figures, the scale factor is the ratio of their corresponding sides .i.e. [tex]k=\dfrac{MN}{WX}\\\\\Rightarrow\ k=\dfrac{2WX}{WX}\\\\\Rightarrow\ k=2[/tex]Hence, the the scale factor of the dilation in the similarity transformation =2