Respuesta :
dilation, k=0.5
Explanation
Step 1
as we can see, the quadrilaterals have different size. it means we can discard a traslation
Step 2
now, we can see both quadrilateral have similar shape, so we can check for a dilation.
A dilation is a type of transformation that changes the size of the image. The scale factor measures how much larger or smaller the image is
[tex]A(x,y)\rightarrow Dilation\rightarrow A^{\prime}(kx,ky)[/tex]in this case, quadrilateral 1 is bigger than quadrilateral 2, it means it suffered a compresion, so k is smaller than 1
[tex]A(x,y)\rightarrow A^{\prime}(kx,ky)\text{ for k}<1[/tex]we can find k,
let
A=a point of the quadrilateral
[tex]\begin{gathered} A(-6,0)\rightarrow A^{\prime}(-6k,0k)\rightarrow A^{\prime}(-3,0) \\ so \\ -6k=-3 \\ k=\frac{-3}{-6} \\ k=\frac{1}{2} \end{gathered}[/tex]I hope this helps you
