Question

question
\\(\overline{pq}\\) is dilated by a scale factor of 4 to form \\(\overline{pq}\\). \\(\overline{pq}\\) measures 12. what is the measure of \\(\overline{pq}\\)?
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Explanation:

Step1: Recall dilation formula

Length of dilated segment = Scale - factor×Length of original segment

Step2: Substitute values

$P'Q'=4\times PQ$

Step3: Calculate result

Since $PQ = 12$, then $P'Q'=4\times12 = 48$

Answer:

48