Question

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

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 $A'B' = k\times AB$, where $k$ is the scale - factor. Here $k = 3$ and $A'B'=24$.

Step2: Solve for $AB$

We have the equation $24=3x$. Dividing both sides by 3 gives $x=\frac{24}{3}=8$.

Answer:

8