Question

question
the segment below is the image of \\( \overline { j k } \\) after dilation by a scale factor of \\( \frac { 1 } { 2 } \\). what is the
measure of \\( \overline { j k } \\) ?
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attempt 1 out of 2

Explanation:

Step1: Recall the formula for dilation

When a segment is dilated by a scale factor \(k\), the length of the new segment \(L'\) is given by \(L'=k\times L\), where \(L\) is the original length. Here, \(L = 14\) and \(k=\frac{1}{2}\).

Step2: Calculate the length of the dilated segment

Substitute the values into the formula: \(L'=\frac{1}{2}\times14\).

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Answer:

7