the parallelogram uvwx is a dilation of the parallelogram uvwx. what is the scale factor of the dilation…

Explanation:

Step1: Select corresponding sides

Let's consider side $WX$ and $W'X'$. The length of $WX$ can be found by looking at the horizontal distance between $W(6,8)$ and $X(2,8)$, which is $|6 - 2|=4$. The length of $W'X'$ can be found by looking at the horizontal distance between $W'(4,6)$ and $X'(2,6)$, which is $|4 - 2| = 2$.

Step2: Calculate scale - factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the image to the length of the corresponding side of the pre - image. So $k=\frac{\text{length of side in image}}{\text{length of corresponding side in pre - image}}=\frac{2}{4}$.

Step3: Simplify the ratio

Simplify $\frac{2}{4}$ to $\frac{1}{2}$.

Answer:

$\frac{1}{2}$