Question

question
\overline{hi} is dilated by a scale factor of 2 to form \overline{hi}. \overline{hi} measures 58. what is the measure of \overline{hi}?
answer attempt 1 out of 2
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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 length \( L \) by \( L' = k \times L \). Here, \( k = 2 \), \( L' = 58 \), and we need to find \( L \) (length of \( \overline{HI} \)).

Step2: Solve for original length

Rearrange the formula: \( L=\frac{L'}{k} \). Substitute \( L' = 58 \) and \( k = 2 \): \( L=\frac{58}{2}=29 \).

Answer:

29