Question

what type of dilation took place? 1 point what is the scale factor? 1 point

Explanation:

Step1: Observe the size change

The image of the polygon $S'T'U'V'W'$ is smaller than the original polygon $STUVW$. When the dilated figure is smaller than the original, it is a reduction.

Step2: Find corresponding side lengths

Let's consider the distance from the origin to a vertex of the original and dilated figure. For example, if we look at the $x -$coordinate of point $U(3,0)$ and $U'(1,0)$. The distance from the origin to $U$ is $3$ and to $U'$ is $1$.

Step3: Calculate the scale - factor

The scale factor $k$ is given by the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure. Using the points $U$ and $U'$, $k=\frac{1}{3}$.

Answer:

What type of dilation took place? Reduction
What is the scale factor? A. $\frac{1}{3}$