Question

lliana drew figures e, f, and g in the coordinate plane. the center of dilation is point h. complete the statement. figure f is dilated by a scale factor less than 1 to form figure g. what is the scale factor of the dilation?

Explanation:

Step1: Measure corresponding side lengths

Let's assume we measure a side - length of figure $F$ and the corresponding side - length of figure $G$. Suppose a side of figure $F$ has a length of 4 units and the corresponding side of figure $G$ has a length of 2 units.

Step2: Calculate the scale factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the dilated figure (figure $G$) to the length of the corresponding side of the original figure (figure $F$). So, $k=\frac{\text{length of side in }G}{\text{length of side in }F}$. Using our example values, $k = \frac{2}{4}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$