Question

triangle tuv was dilated to create triangle tuv using point a as the
what is the scale factor of the dilation?
center of dilation.
3.2
4.8

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation is given by \(k=\frac{\text{length of a segment in the image}}{\text{length of the corresponding segment in the original figure}}\).

Step2: Identify the segments

We can use the segments \(AV'\) and \(AV\). Here, \(AV' = 3.2\) and \(AV=3.2 + 4.8=8\).

Step3: Calculate the scale factor

Substitute the values into the formula: \(k=\frac{AV'}{AV}=\frac{3.2}{8}\). Simplify \(\frac{3.2}{8}=\frac{3.2\div1.6}{8\div1.6}=\frac{2}{5}\)

Answer:

\(\frac{2}{5}\)