Question

quadrilateral vwxy is dilated by a scale factor of 3 to form quadrilateral vwxy. what is the measure of side yv?

Explanation:

Step1: Recall the dilation formula

When a figure is dilated by a scale factor \(k\), the length of each side of the new figure is \(k\) times the length of the corresponding side of the original figure. The formula is \(L_{\text{new}}=k\times L_{\text{old}}\).

Step2: Identify the original side length and the scale factor

From the original quadrilateral \(VWXY\), the length of side \(YV\) is \(L_{\text{old}} = 16\), and the scale factor \(k = 3\).

Step3: Calculate the length of \(Y'V'\)

Substitute the values into the formula: \(L_{\text{new}}=3\times16\).

$$3\times16=48$$

Answer:

\(48\)