Question

parallelogram qrst is dilated by a scale factor of 2 to form parallelogram qrst. side st measures 18. what is the measure of side st?

Explanation:

Step1: Recall dilation property

Dilation scales lengths by the scale factor. If scale factor \( k = 2 \), then \( \text{Length of image} = k\times\text{Length of original} \). So \( S'T' = 2\times ST \).

Step2: Solve for \( ST \)

Given \( S'T' = 18 \) and \( S'T' = 2\times ST \), we have \( 18 = 2\times ST \). Divide both sides by 2: \( ST=\frac{18}{2}=9 \).

Answer:

9