Question

the segment below is the image of $overline{ab}$ after dilation by a scale factor of 3. what is the measure of $overline{ab}$? answer attempt 2 out of 2

Explanation:

Step1: Recall dilation formula

Let the length of $\overline{AB}$ be $x$. The length of the dilated segment $\overline{A'B'}$ is related to the original segment by the formula $|\overline{A'B'}| = k\times|\overline{AB}|$, where $k$ is the scale - factor. Here, $k = 3$ and $|\overline{A'B'}|=24$.

Step2: Solve for the original length

We have the equation $24 = 3x$. To find $x$, we divide both sides of the equation by 3. So, $x=\frac{24}{3}$.

Answer:

8