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}\\)?
answer attempt 1 out of 2

Explanation:

Step1: Recall dilation formula

When a segment is dilated by a scale factor \( k \), the length of the dilated segment \( L' \) is related to the original segment length \( L \) by \( L' = k \times L \). Here, \( k = 2 \), \( L' = 14 \), and we need to find \( L \) (length of \( \overline{DE} \)).

Step2: Solve for original length

From \( L' = k \times L \), we can rearrange to \( L=\frac{L'}{k} \). Substituting \( L' = 14 \) and \( k = 2 \), we get \( L=\frac{14}{2}=7 \).

Answer:

7