Question

\\( \overline { q r } \\) is dilated by a scale factor of 6 to form \\( \overline { q ^ { prime } r ^ { prime } } \\). \\( \overline { q r } \\) measures 6. what is the measure of \\( \overline { q ^ { prime } r ^ { prime } } \\)?

answer attempt 1 out of 2

Explanation:

Step1: Recall the formula for dilation

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

Step2: Substitute the values

Here, \(k = 6\) (scale factor) and \(L=\overline{QR}=6\) (original length). Then \(\overline{Q'R'}=k\times\overline{QR}\).
Substituting the values: \(\overline{Q'R'}=6\times6\).

Step3: Calculate the result

\(6\times6 = 36\).

Answer:

36