Question

what is the scale factor from \\( \triangle pqr \\) to \\( \triangle stu \\)?

Explanation:

Step1: Identify corresponding sides

Corresponding sides are \(QP = 3\) and \(TS=6\) (or \(PR = 4\) and \(SU = 8\), or \(QR = 5\) and \(TU = 10\)).

Step2: Calculate scale factor

Scale factor \(=\frac{\text{Length of side in }\triangle STU}{\text{Length of corresponding side in }\triangle PQR}\). Using \(QP\) and \(TS\): \(\frac{6}{3}=2\).

Answer:

\(2\)