Question

the segment below is the image of $overline{wx}$ after dilation by a scale factor of $\frac{1}{3}$. what is the measure of $overline{wx}$? w 9 x answer attempt 1 out of 10 submit answer

Explanation:

Step1: Recall dilation formula

Let the length of $\overline{WX}$ be $l$ and the length of $\overline{W'X'}$ be $l'$, and the scale - factor be $k$. The formula for dilation is $l' = k\times l$.

Step2: Identify given values

We know that $k=\frac{1}{3}$ and $l' = 9$.

Step3: Solve for original length

Substitute the values into the formula $9=\frac{1}{3}\times l$. Then, multiply both sides by 3 to get $l = 27$.

Answer:

27