Question

question. the segment below is dilated by a scale factor of 4 to form hi. what is the measure of hi? h 12 i

Explanation:

Step1: Recall dilation formula

When a line - segment is dilated by a scale factor \(k\), the length of the new line - segment \(L'\) is given by \(L'=k\times L\), where \(L\) is the original length and \(k\) is the scale factor.

Step2: Identify values

Here, the original length of the line - segment \(HI\) is \(L = 12\), and the scale factor \(k = 4\).

Step3: Calculate new length

Substitute the values into the formula: \(L'=4\times12=48\).

Answer:

48