Question

question (overline{de}) is dilated by a scale factor of 2 to form (overline{de}). (overline{de}) measures 14. what is the measure of (overline{de})?

Explanation:

Step1: Recall dilation formula

Let the length of $\overline{DE}$ be $x$ and the scale - factor be $k$. The length of the dilated segment $\overline{D'E'}$ is given by $|\overline{D'E'}|=k\times|\overline{DE}|$.

Step2: Substitute known values

We know that $k = 2$ and $|\overline{D'E'}|=14$. So, $14 = 2x$.

Step3: Solve for $x$

Dividing both sides of the equation $14 = 2x$ by 2, we get $x=\frac{14}{2}=7$.

Answer:

7