triangle tuv was dilated to create triangle tuv using point a as the center of dilation. what is the scale…

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

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

Answer

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ of a dilation is given by the ratio of the length of a corresponding side in the image to the length of the corresponding side in the pre - image. If we consider side $AV'$ and $AV$, $AV' = 3.2$ and $AV=4.8$.

Step2: Calculate the scale factor

$k=\frac{AV'}{AV}=\frac{3.2}{4.8}=\frac{32}{48}=\frac{2}{3}$

Answer:

$\frac{2}{3}$